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Victor Y. Pan
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- affiliation: City University of New York, Lehman College, NY, USA
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2020 – today
- 2024
- [c91]Victor Y. Pan:
Nearly Optimal Black Box Polynomial Root-finders. SODA 2024: 3860-3900 - 2023
- [c90]Soo Go, Victor Y. Pan, Pedro Soto:
Root-Squaring for Root-Finding. CASC 2023: 107-127 - [c89]Victor Y. Pan, Soo Go, Qi Luan, Liang Zhao:
Fast Cauchy Sum Algorithms for Polynomial Zeros and Matrix Eigenvalues. CIAC 2023: 336-352 - 2022
- [c88]Rémi Imbach, Victor Y. Pan:
Accelerated Subdivision for Clustering Roots of Polynomials Given by Evaluation Oracles. CASC 2022: 143-164 - [i27]Victor Y. Pan:
New Progress in Classic Area: Polynomial Root-squaring and Root-finding. CoRR abs/2206.01727 (2022) - [i26]Rémi Imbach, Victor Y. Pan:
Accelerated Subdivision for Clustering Roots of Polynomials given by Evaluation Oracles. CoRR abs/2206.08622 (2022) - 2021
- [c87]Rémi Imbach, Victor Y. Pan:
Root Radii and Subdivision for Polynomial Root-Finding. CASC 2021: 136-156 - [i25]Rémi Imbach, Victor Y. Pan:
Root Radii and Subdivision for Polynomial Root-Finding. CoRR abs/2102.10821 (2021) - 2020
- [c86]Qi Luan, Victor Y. Pan, Won-geun Kim, Vitaly Zaderman:
Faster Numerical Univariate Polynomial Root-Finding by Means of Subdivision Iterations. CASC 2020: 431-446 - [c85]Victor Y. Pan:
Acceleration of Subdivision Root-Finding for Sparse Polynomials. CASC 2020: 461-477 - [c84]Rémi Imbach, Victor Y. Pan:
New progress in univariate polynomial root finding. ISSAC 2020: 249-256
2010 – 2019
- 2019
- [c83]Rémi Imbach, Victor Y. Pan, Chee Yap, Ilias S. Kotsireas, Vitaly Zaderman:
Root-Finding with Implicit Deflation. CASC 2019: 236-245 - [c82]Victor Y. Pan:
Old and New Nearly Optimal Polynomial Root-Finders. CASC 2019: 393-411 - [c81]Victor Y. Pan, Qi Luan, John Svadlenka, Liang Zhao:
Sublinear Cost Low Rank Approximation via Subspace Sampling. MACIS 2019: 89-104 - [c80]Qi Luan, Victor Y. Pan:
CUR LRA at Sublinear Cost Based on Volume Maximization. MACIS 2019: 105-121 - [c79]Rémi Imbach, Victor Y. Pan:
New Practical Advances in Polynomial Root Clustering. MACIS 2019: 122-137 - [i24]Victor Y. Pan, Qi Luan:
Randomized Approximation of Linear Least Squares Regression at Sub-linear Cost. CoRR abs/1906.03784 (2019) - [i23]Victor Y. Pan, Qi Luan, John Svadlenka, Liang Zhao:
CUR Low Rank Approximation of a Matrix at Sub-linear Cost. CoRR abs/1906.04112 (2019) - [i22]Victor Y. Pan, Qi Luan:
Refinement of Low Rank Approximation of a Matrix at Sub-linear Cost. CoRR abs/1906.04223 (2019) - [i21]Victor Y. Pan, Qi Luan, John Svadlenka, Liang Zhao:
Low Rank Approximation at Sublinear Cost by Means of Subspace Sampling. CoRR abs/1906.04327 (2019) - [i20]Rémi Imbach, Victor Y. Pan:
Polynomial root clustering and explicit deflation. CoRR abs/1906.04920 (2019) - [i19]Victor Y. Pan, Qi Luan, John Svadlenka:
Low Rank Approximation Directed by Leverage Scores and Computed at Sub-linear Cost. CoRR abs/1906.04929 (2019) - [i18]Victor Y. Pan:
Low Rank Approximation of a Matrix at Sub-linear Cost. CoRR abs/1907.10481 (2019) - [i17]Rémi Imbach, Victor Y. Pan:
New practical advances in polynomial root clustering. CoRR abs/1911.06706 (2019) - 2018
- [j87]Victor Y. Pan, Fazlollah Soleymani, L. Zhao:
An efficient computation of generalized inverse of a matrix. Appl. Math. Comput. 316: 89-101 (2018) - [c78]Rémi Imbach, Victor Y. Pan, Chee Yap:
Implementation of a Near-Optimal Complex Root Clustering Algorithm. ICMS 2018: 235-244 - [i16]Victor Y. Pan:
Fast Feasible and Unfeasible Matrix Multiplication. CoRR abs/1804.04102 (2018) - [i15]Victor Y. Pan:
Polynomial Factorization Is Simple and Helpful - More So Than It Seems to Be. CoRR abs/1805.12042 (2018) - [i14]Rémi Imbach, Victor Y. Pan, Chee Yap:
Implementation of a Near-Optimal Complex Root Clustering Algorithm. CoRR abs/1806.10584 (2018) - 2017
- [j86]Victor Y. Pan:
Fast approximate computations with Cauchy matrices and polynomials. Math. Comput. 86(308): 2799-2826 (2017) - [j85]Victor Y. Pan, Liang Zhao:
Real polynomial root-finding by means of matrix and polynomial iterations. Theor. Comput. Sci. 681: 101-116 (2017) - [j84]Victor Y. Pan, Elias P. Tsigaridas:
Nearly optimal computations with structured matrices. Theor. Comput. Sci. 681: 117-137 (2017) - [j83]Victor Y. Pan, Elias P. Tsigaridas:
Accelerated approximation of the complex roots and factors of a univariate polynomial. Theor. Comput. Sci. 681: 138-145 (2017) - 2016
- [j82]Victor Y. Pan, Elias P. Tsigaridas:
Nearly optimal refinement of real roots of a univariate polynomial. J. Symb. Comput. 74: 181-204 (2016) - [j81]Victor Y. Pan:
How Bad Are Vandermonde Matrices? SIAM J. Matrix Anal. Appl. 37(2): 676-694 (2016) - [c77]Victor Y. Pan, Liang Zhao:
Low-Rank Approximation of a Matrix: Novel Insights, New Progress, and Extensions. CSR 2016: 352-366 - [i13]Victor Y. Pan:
Completion of Newton's Iterations Initialized at a Quasi-Universal Set. CoRR abs/1606.01396 (2016) - [i12]Jean-Guillaume Dumas, Victor Y. Pan:
Fast Matrix Multiplication and Symbolic Computation. CoRR abs/1612.05766 (2016) - 2015
- [c76]Victor Y. Pan, Liang Zhao:
Polynomial Real Root Isolation by Means of Root Radii Approximation. CASC 2015: 349-360 - [c75]Victor Y. Pan, Liang Zhao:
Randomized Circulant and Gaussian Pre-processing. CASC 2015: 361-375 - [i11]Victor Y. Pan, Liang Zhao:
Randomized Structured Preprocessing versus Pivoting. CoRR abs/1501.05385 (2015) - [i10]Victor Y. Pan, Liang Zhao:
Real Polynomial Root-finding by Means of Matrix and Polynomial Iterations. CoRR abs/1501.05390 (2015) - [i9]Victor Y. Pan, Elias P. Tsigaridas:
Accelerated Approximation of the Complex Roots and Factors of a Univariate Polynomial. CoRR abs/1501.05392 (2015) - 2014
- [c74]Jonathan D. Hauenstein, Victor Y. Pan, Ágnes Szántó:
A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields. CASC 2014: 202-217 - [c73]Victor Y. Pan:
Real Polynomial Root-Finding by Means of Matrix and Polynomial Iterations. CASC 2014: 335-349 - [c72]Victor Y. Pan:
Fast Approximate Computations with Cauchy Matrices, Polynomials and Rational Functions. CSR 2014: 287-299 - [c71]Victor Y. Pan, Elias P. Tsigaridas:
Nearly optimal computations with structured matrices. SNC 2014: 21-30 - [c70]Victor Y. Pan, Elias P. Tsigaridas:
Accelerated approximation of the complex roots of a univariate polynomial. SNC 2014: 132-134 - [p3]Ioannis Z. Emiris, Victor Y. Pan, Elias P. Tsigaridas:
Algebraic Algorithms. Computing Handbook, 3rd ed. (1) 2014: 10: 1-30 - [i8]Victor Y. Pan, Elias P. Tsigaridas:
Nearly Optimal Computations with Structured Matrices. CoRR abs/1404.4768 (2014) - [i7]Victor Y. Pan, Elias P. Tsigaridas:
Accelerated Approximation of the Complex Roots of a Univariate Polynomial (Extended Abstract). CoRR abs/1404.4775 (2014) - [i6]Jonathan D. Hauenstein, Victor Y. Pan, Ágnes Szántó:
Global Newton Iteration over Archimedean and non-Archimedean Fields. CoRR abs/1404.5525 (2014) - [i5]Victor Y. Pan:
Real Polynomial Root-finding by Means of Matrix and Polynomial Iterations. CoRR abs/1404.6817 (2014) - [i4]Victor Y. Pan:
Better Late Than Never: Filling a Void in the History of Fast Matrix Multiplication and Tensor Decompositions. CoRR abs/1411.1972 (2014) - [i3]Victor Y. Pan:
Matrix Multiplication, Trilinear Decompositions, APA Algorithms, and Summation. CoRR abs/1412.1145 (2014) - 2013
- [j80]Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan, Lihong Zhi:
Preface. Theor. Comput. Sci. 479: 1-3 (2013) - [c69]Victor Y. Pan:
Polynomial Evaluation and Interpolation and Transformations of Matrix Structures. CASC 2013: 273-287 - [c68]Victor Y. Pan, Elias P. Tsigaridas:
On the boolean complexity of real root refinement. ISSAC 2013: 299-306 - [i2]Ioannis Z. Emiris, Victor Y. Pan, Elias P. Tsigaridas:
Chapter 10: Algebraic Algorithms. CoRR abs/1311.3731 (2013) - 2012
- [j79]J. M. McNamee, Victor Y. Pan:
Efficient polynomial root-refiners: A survey and new record efficiency estimates. Comput. Math. Appl. 63(1): 239-254 (2012) - [j78]Victor Y. Pan:
A note on the paper by Murat Cenk and Ferruh Ozbudak "Multiplication of polynomials modulo xn", Theoret. Comput. Sci. 412(2011) 3451-3462. Theor. Comput. Sci. 428: 91 (2012) - [c67]Victor Y. Pan, Guoliang Qian, Ailong Zheng:
Real and Complex Polynomial Root-Finding by Means of Eigen-Solving. CASC 2012: 271-282 - [c66]Victor Y. Pan:
Root-Refining for a Polynomial Equation. CASC 2012: 283-293 - [i1]Victor Y. Pan, Guoliang Qian:
More on the Power of Randomized Matrix Computations. CoRR abs/1212.4560 (2012) - 2011
- [j77]Victor Y. Pan, Ailong Zheng:
New progress in real and complex polynomial root-finding. Comput. Math. Appl. 61(5): 1305-1334 (2011) - [j76]Victor Y. Pan:
Nearly optimal solution of rational linear systems of equations with symbolic lifting and numerical initialization. Comput. Math. Appl. 62(4): 1685-1706 (2011) - [j75]Victor Y. Pan, Ailong Zheng:
Root-finding by expansion with independent constraints. Comput. Math. Appl. 62(8): 3164-3182 (2011) - [j74]Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan:
Preface. Theor. Comput. Sci. 412(16): 1443-1444 (2011) - [c65]Victor Y. Pan, Guoliang Qian, Ailong Zheng:
Randomized preconditioning of the MBA algorithm. ISSAC 2011: 281-288 - [c64]Victor Y. Pan:
Univariate polynomial root-finding by arming with constraints. SNC 2011: 112-121 - 2010
- [c63]Victor Y. Pan, Guoliang Qian, Ailong Zheng:
Advancing Matrix Computations with Randomized Preprocessing. CSR 2010: 303-314 - [c62]Victor Y. Pan, Ailong Zheng:
Real and complex polynomial root-finding with eigen-solving and preprocessing. ISSAC 2010: 219-226
2000 – 2009
- 2009
- [j73]Victor Y. Pan, Brian Murphy, Guoliang Qian, Rhys Eric Rosholt:
A new error-free floating-point summation algorithm. Comput. Math. Appl. 57(4): 560-564 (2009) - [c61]Victor Y. Pan, Guoliang Qian, Ailong Zheng:
Preconditioning, randomization, solving linear systems, eigen-solving, and root-finding. SNC 2009: 5-6 - [c60]Victor Y. Pan, Brian Murphy, Rhys Eric Rosholt:
Nearly optimal symbolic-numerical algorithms for structured integer matrices and polynomials. SNC 2009: 105-114 - 2008
- [j72]Victor Y. Pan, Dmitriy Ivolgin, Brian Murphy, Rhys Eric Rosholt, Islam A. T. F. Taj-Eddin, Yuqing Tang, Xiaodong Yan:
Additive preconditioning and aggregation in matrix computations. Comput. Math. Appl. 55(8): 1870-1886 (2008) - [j71]Victor Y. Pan, Brian Murphy, Rhys Eric Rosholt, Yuqing Tang, Xinmao Wang, Ailong Zheng:
Eigen-solving via reduction to DPR1 matrices. Comput. Math. Appl. 56(1): 166-171 (2008) - [j70]Dario Andrea Bini, Victor Y. Pan, Jan Verschelde:
Preface. Theor. Comput. Sci. 409(2): 155-157 (2008) - [j69]Victor Y. Pan, D. Grady, Brian Murphy, Guoliang Qian, Rhys Eric Rosholt, Anatole D. Ruslanov:
Schur aggregation for linear systems and determinants. Theor. Comput. Sci. 409(2): 255-268 (2008) - [c59]Victor Y. Pan, Dmitriy Ivolgin, Brian Murphy, Rhys Eric Rosholt, Yuqing Tang, Xiaodong Yan:
Additive Preconditioning for Matrix Computations. CSR 2008: 372-383 - 2007
- [j68]Victor Y. Pan:
New homotopic/factorization and symmetrization techniques for Newton's and Newton/structured iteration. Comput. Math. Appl. 54(5): 721-729 (2007) - [c58]Victor Y. Pan, Brian Murphy, Rhys Eric Rosholt, M. Tabanjeh:
The schur aggregation for solving linear systems of equations. SNC 2007: 142-151 - [c57]Victor Y. Pan, Xiaodong Yan:
Null space and eigenspace computations with additive preprocessing. SNC 2007: 152-160 - [c56]Victor Y. Pan, Brian Murphy, Rhys Eric Rosholt, Guoliang Qian, Yuqing Tang:
Real root-finding. SNC 2007: 161-169 - 2006
- [j67]Victor Y. Pan, Mikhail Kunin, Brian Murphy, Rhys Eric Rosholt, Yuqing Tang, Xiaodong Yan, Wenbo Cao:
Linking the TPR1, DPR1 and Arrow-Head Matrix Structures. Comput. Math. Appl. 52(10-11): 1603-1608 (2006) - [j66]Victor Y. Pan, Mikhail Kunin, Rhys Eric Rosholt, H. Kodal:
Homotopic residual correction processes. Math. Comput. 75(253): 345-368 (2006) - 2005
- [j65]Victor Y. Pan:
Polynomial root-finding with matrix eigen-solving. SIGSAM Bull. 39(3): 87 (2005) - [j64]Ioannis Z. Emiris, Victor Y. Pan:
Improved algorithms for computing determinants and resultants. J. Complex. 21(1): 43-71 (2005) - [j63]Dario A. Bini, Luca Gemignani, Victor Y. Pan:
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Numerische Mathematik 100(3): 373-408 (2005) - [c55]Victor Y. Pan:
Can the TPRI structure help us to solve the algebraic eigenproblem? SODA 2005: 1069-1078 - 2004
- [j62]Gianni Codevico, Victor Y. Pan, Marc Van Barel:
Newton-Like Iteration Based on a Cubic Polynomial for Structured Matrices. Numer. Algorithms 36(4): 365-380 (2004) - [j61]Victor Y. Pan, Xinmao Wang:
On Rational Number Reconstruction and Approximation. SIAM J. Comput. 33(2): 502-503 (2004) - [j60]Ioannis Z. Emiris, Bernard Mourrain, Victor Y. Pan:
Preface: Algebraic and Numerical Algorithms. Theor. Comput. Sci. 315(2-3): 307-308 (2004) - [j59]Victor Y. Pan, Marc Van Barel, Xinmao Wang, Gianni Codevico:
Iterative inversion of structured matrices. Theor. Comput. Sci. 315(2-3): 581-592 (2004) - 2003
- [j58]Bernard Mourrain, Victor Y. Pan, Olivier Ruatta:
Accelerated Solution of Multivariate Polynomial Systems of Equations. SIAM J. Comput. 32(2): 435-454 (2003) - [j57]Xinmao Wang, Victor Y. Pan:
Acceleration of Euclidean Algorithm and Rational Number Reconstruction. SIAM J. Comput. 32(2): 548-556 (2003) - [j56]Victor Y. Pan, Xinmao Wang:
Inversion of Displacement Operators. SIAM J. Matrix Anal. Appl. 24(3): 660-677 (2003) - 2002
- [j55]Ioannis Z. Emiris, Victor Y. Pan:
Symbolic and Numeric Methods for Exploiting Structure in Constructing Resultant Matrices. J. Symb. Comput. 33(4): 393-413 (2002) - [j54]Victor Y. Pan:
Univariate Polynomials: Nearly Optimal Algorithms for Numerical Factorization and Root-finding. J. Symb. Comput. 33(5): 701-733 (2002) - [c54]Victor Y. Pan, Xinmao Wang:
Acceleration of Euclidean algorithm and extensions. ISSAC 2002: 207-213 - [c53]Victor Y. Pan:
Randomized Acceleration of Fundamental Matrix Computations. STACS 2002: 215-226 - 2001
- [j53]Victor Y. Pan, Yanqiang Yu:
Certification of Numerical Computation of the Sign of the Determinant of a Matrix. Algorithmica 30(4): 708-724 (2001) - [j52]Victor Y. Pan:
Computation of Approximate Polynomial GCDs and an Extension. Inf. Comput. 167(2): 71-85 (2001) - [j51]Keqin Li, Victor Y. Pan:
Parallel Matrix Multiplication on a Linear Array with a Reconfigurable Pipelined Bus System. IEEE Trans. Computers 50(5): 519-525 (2001) - [c52]Victor Y. Pan:
Univariate polynomials: nearly optimal algorithms for factorization and rootfinding. ISSAC 2001: 253-267 - 2000
- [j50]Bernard Mourrain, Victor Y. Pan:
Multivariate Polynomials, Duality, and Structured Matrices. J. Complex. 16(1): 110-180 (2000) - [j49]Victor Y. Pan:
Approximating Complex Polynomial Zeros: Modified Weyl's Quadtree Construction and Improved Newton's Iteration. J. Complex. 16(1): 213-264 (2000) - [j48]Bernard Mourrain, Victor Y. Pan:
Lifting/Descending Processes for Polynomial Zeros. J. Complex. 16(1): 265-273 (2000) - [j47]Victor Y. Pan:
Parallel Complexity of Computations with General and Toeplitz-Like Matrices Filled with Integers and Extensions. SIAM J. Comput. 30(4): 1080-1125 (2000) - [c51]Victor Y. Pan:
Matrix structure, polynomial arithmetic, and erasure-resilient encoding/decoding. ISSAC 2000: 266-271 - [c50]Victor Y. Pan:
A Homotopic Residual Correction Process. NAA 2000: 644-649 - [c49]Victor Y. Pan:
Nearly optimal computations with structured matrices. SODA 2000: 953-962
1990 – 1999
- 1999
- [j46]Victor Y. Pan, Elliot Linzer:
Bisection acceleration for the symmetric tridiagonal eigenvalue problem. Numer. Algorithms 22(1): 13-39 (1999) - [j45]Hervé Brönnimann, Ioannis Z. Emiris, Victor Y. Pan, Sylvain Pion:
Sign Determination in Residue Number Systems. Theor. Comput. Sci. 210(1): 173-197 (1999) - [c48]Victor Y. Pan, Ailong Zheng, M. Abu Tabanjeh, Zhao Q. Chen, S. Providence:
Superfast Computations with Singular Structured Matrices over Abstract Fields. CASC 1999: 323-338 - [c47]Vadim Olshevsky, Victor Y. Pan:
Polynomial and Rational Evaluation and Interpolation (with Structured Matrices). ICALP 1999: 585-594 - [c46]Keqin Li, Victor Y. Pan:
Parallel Matrix Multiplication on a Linear Array with a Reconfigurable Pipelined Bus System. IPPS/SPDP 1999: 31-35 - [c45]Victor Y. Pan, Yanqiang Yu:
Certified Computation of the Sign of a Matrix Determinant. SODA 1999: 715-724 - [c44]Victor Y. Pan, Zhao Q. Chen:
The Complexity of the Matrix Eigenproblem. STOC 1999: 507-516 - [p2]Angel Díaz, Ioannis Z. Emiris, Erich L. Kaltofen, Victor Y. Pan:
Algebraic Algorithms. Algorithms and Theory of Computation Handbook 1999 - [p1]Ioannis Z. Emiris, Victor Y. Pan:
Applications of FFT. Algorithms and Theory of Computation Handbook 1999 - 1998
- [j44]Xiaohan Huang, Victor Y. Pan:
Fast Rectangular Matrix Multiplication and Applications. J. Complex. 14(2): 257-299 (1998) - [j43]Ioannis Z. Emiris, Victor Y. Pan, Yanqiang Yu:
Modular Arithmetic for Linear Algebra Computations in the Real Field. J. Symb. Comput. 26(1): 71-87 (1998) - [j42]David Shallcross, Victor Y. Pan, Yu Lin-Kriz:
Planar Integer Linear Programming is NC Equivalent to Euclidean GCD. SIAM J. Comput. 27(4): 960-971 (1998) - [j41]Dario Bini, Victor Y. Pan:
Computing Matrix Eigenvalues and Polynomial Zeros Where the Output is Real. SIAM J. Comput. 27(4): 1099-1115 (1998) - [c43]Vadim Olshevsky, Victor Y. Pan:
A Unified Superfast Algorithm for Boundary Rational Tangential Interpolation Problems and for Inversion and Factorization of Dense Structured Matrices. FOCS 1998: 192-201 - [c42]Victor Y. Pan, M. Abu Tabanjeh, Zhao Q. Chen, S. Providence, Akimou Sadikou:
Transformations of Cauchy Matrices, Trummer's Problem and a Cauchy-Like Linear Solver. IRREGULAR 1998: 274-284 - [c41]Didier Bondyfalat, Bernard Mourrain, Victor Y. Pan:
Controlled Iterative Methods for Solving Polynomial Systems. ISSAC 1998: 252-259 - [c40]Victor Y. Pan:
Approximate Polynomials Gcds, Padé Approximation, Polynomial Zeros and Bipartite Graphs. SODA 1998: 68-77 - [c39]Bernard Mourrain, Victor Y. Pan:
Asymptotic Acceleration of Solving Multivariate Polynomial Systems of Equations. STOC 1998: 488-496 - 1997
- [j40]Yijie Han, Victor Y. Pan, John H. Reif:
Efficient Parallel Algorithms for Computing All Pair Shortest Paths in Directed Graphs. Algorithmica 17(4): 399-415 (1997) - [j39]Victor Y. Pan, Ailong Zheng, Xiaohan Huang, Olen Dias:
Newton's Iteration for Inversion of Cauchy-Like and Other Structured Matrices. J. Complex. 13(1): 108-124 (1997) - [j38]Victor Y. Pan:
Solving a Polynomial Equation: Some History and Recent Progress. SIAM Rev. 39(2): 187-220 (1997) - [c38]Xiaohan Huang, Victor Y. Pan:
Fast rectangular matrix multiplications and improving parallel matrix computations. PASCO 1997: 11-23 - [c37]Hervé Brönnimann, Ioannis Z. Emiris, Victor Y. Pan, Sylvain Pion:
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision. SCG 1997: 174-182 - [c36]Ioannis Z. Emiris, Victor Y. Pan:
The Structure of Sparse Resultant Matrices. ISSAC 1997: 189-196 - [c35]Victor Y. Pan:
Faster Solution of the Key Equation for Decoding BCH Error-Correcting Codes. STOC 1997: 168-175 - [r1]Angel Díaz, Erich L. Kaltofen, Victor Y. Pan:
Algebraic Algorithms. The Computer Science and Engineering Handbook 1997: 226-249 - 1996
- [j37]Dario Bini, Victor Y. Pan:
Graeffe's, Chebyshev-like, and Cardinal's Processes for Splitting a Polynomial into Factors. J. Complex. 12(4): 492-511 (1996) - [j36]Victor Y. Pan, Myong-Hi Kim, Akimou Sadikou, Xiaohan Huang, Ailong Zheng:
On Isolation of Real and Nearly Real Zeros of a Univariate Polynomial and Its Splitting into Factors. J. Complex. 12(4): 572-594 (1996) - [j35]Victor Y. Pan:
Computing x^m mod p(x) and an Application to Splitting a Polynomial Into Factors Over a Fixed Disc. J. Symb. Comput. 22(4): 377-380 (1996) - [j34]Victor Y. Pan:
Parallel Computation of Polynomial GCD and Some Related Parallel Computations over Abstract Fields. Theor. Comput. Sci. 162(2): 173-223 (1996) - [c34]Victor Y. Pan:
A New Approach to Parallel Computation of Polynomial GCD and to Related Parallel Computations over Fields and Integer Rings. SODA 1996: 518-527 - 1995
- [j33]Victor Y. Pan:
An algebraic approach to approximate evaluation of a polynomial on a set of real points. Adv. Comput. Math. 3(1-2): 41-58 (1995) - [j32]Victor Y. Pan, Isdor Sobze, Antoine Atinkpahoun:
On Parallel Computations with Banded Matrices. Inf. Comput. 120(2): 237-250 (1995) - [j31]Victor Y. Pan, Franco P. Preparata:
Work-Preserving Speed-Up of Parallel Matrix Computations. SIAM J. Comput. 24(4): 811-821 (1995) - [c33]Victor Y. Pan:
Optimal (up to polylog factors) sequential and parallel algorithms for approximating complex polynomial zeros. STOC 1995: 741-750 - 1994
- [b2]Dario Bini, Victor Y. Pan:
Polynomial and matrix computations, 1st Edition. Progress in theoretical computer science 12, Birkhäuser 1994, ISBN 3764337869, pp. I-XVI, 1-415 - [j30]Victor Y. Pan:
Simple Multivariate Polynomial Multiplication. J. Symb. Comput. 18(3): 183-186 (1994) - [j29]Victor Y. Pan:
New Resultant Inequalities and Complex Polynomial Factorization. SIAM J. Comput. 23(5): 934-950 (1994) - [c32]Erich L. Kaltofen, Victor Y. Pan:
Parallel Solution of Toeplitz and Toeplitz-Like Linear Systems Over Fields of Small Positive Characteristic. PASCO 1994: 225-233 - [c31]Victor Y. Pan:
New Techniques for Approximating Complex Polynomial Zeros. SODA 1994: 260-270 - [c30]Victor Y. Pan, Isdor Sobze, Antoine Atinkpahoun:
Optimum Parallel Computations with Banded Matrices. SODA 1994: 649-658 - 1993
- [j28]Victor Y. Pan, James Demmel:
A New Algorithm for the Symmetric Tridiagonal Eigenvalue Problem. J. Complex. 9(3): 387-405 (1993) - [j27]Dario Bini, Victor Y. Pan:
Improved Parallel Polynomial Division. SIAM J. Comput. 22(3): 617-626 (1993) - [j26]Victor Y. Pan, John H. Reif:
Fast and Efficient Parallel Solution of Sparse Linear Systems. SIAM J. Comput. 22(6): 1227-1250 (1993) - [j25]Victor Y. Pan:
Concurrent Iterative Algorithm for Toeplitz-like Linear Systems. IEEE Trans. Parallel Distributed Syst. 4(5): 592-600 (1993) - [c29]David Shallcross, Victor Y. Pan, Yu Lin-Kriz:
The NC Equivalence of Planar Integer Linear Programming and Euclidean GCD. FOCS 1993: 557-564 - [c28]Dario Bini, Victor Y. Pan:
Parallel Computations with Toeplitz-like and Hankel-like Matrices. ISSAC 1993: 193-200 - 1992
- [j24]Dario Bini, Victor Y. Pan:
Practical improvement of the divide-and-conquer eigenvalue algorithms. Computing 48(1): 109-123 (1992) - [j23]Victor Y. Pan, Akimou Sadikou, Elliott Landowne:
Polynomial Division with a Remainder by Means of Evaluation and Interpolation. Inf. Process. Lett. 44(3): 149-153 (1992) - [j22]Victor Y. Pan:
Parallel solution of toeplitzlike linear systems. J. Complex. 8(1): 1-21 (1992) - [j21]Victor Y. Pan:
Complexity of Computations with Matrices and Polynomials. SIAM Rev. 34(2): 225-262 (1992) - [j20]Victor Y. Pan, John H. Reif:
Compact Multigrid. SIAM J. Sci. Comput. 13(1): 119-127 (1992) - [c27]Dario Bini, Victor Y. Pan:
Improved Parallel Polynomial Division and Its Extensions. FOCS 1992: 131-136 - [c26]Victor Y. Pan, John H. Reif, Stephen R. Tate:
The Power of Combining the Techiques of Algebraic and Numerical Computing: Improved Approximate Multipoint Polynomial Evaluation and Improved Multipole Algorithms. FOCS 1992: 703-713 - [c25]Erich L. Kaltofen, Victor Y. Pan:
Processor-Efficient Parallel Solution of Linear Systems II: The Positive Characteristic and Singular Cases (Extended Abstract). FOCS 1992: 714-723 - [c24]Victor Y. Pan:
New Resultant Inequalities and Complex Polynomial Factorization. ISTCS 1992: 122-136 - [c23]Yu Lin-Kriz, Victor Y. Pan:
On Parallel Complexity of Integer Linear Programming, GCD and the Iterated mod Function. SODA 1992: 124-137 - [c22]Yijie Han, Victor Y. Pan, John H. Reif:
Efficient Parallel Algorithms for Computing all Pair Shortest Paths in Directed Graphs. SPAA 1992: 353-362 - [c21]Victor Y. Pan, Franco P. Preparata:
Supereffective Slow-Down of Parallel Computations. SPAA 1992: 402-409 - 1991
- [j19]Victor Y. Pan, John H. Reif:
The Parallel Computation of Minimum Cost Paths in Graphs by Stream Contraction. Inf. Process. Lett. 40(2): 79-83 (1991) - [j18]Dario Bini, Victor Y. Pan:
On the evaluation of the Eigenvalues of a banded toeplitz block matrix. J. Complex. 7(4): 408-424 (1991) - [j17]Victor Y. Pan, Robert Schreiber:
An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications. SIAM J. Sci. Comput. 12(5): 1109-1130 (1991) - [c20]Dario Bini, Luca Gemignani, Victor Y. Pan:
Improved Parallel Computations with Matrices and Polynomials. ICALP 1991: 520-531 - [c19]Dario Bini, Victor Y. Pan:
Parallel Complexity of Tridiagonal Symmetric Eigenvalue Problem. SODA 1991: 384-393 - [c18]Erich L. Kaltofen, Victor Y. Pan:
Processor Efficient Parallel Solution of Linear Systems over an Abstract Field. SPAA 1991: 180-191 - [c17]Victor Y. Pan, Elliott Landowne, Akimou Sadikou:
Univariate polynomial division with a remainder by means of evaluation and interpolation. SPDP 1991: 212-217 - 1990
- [c16]Victor Y. Pan, John H. Reif:
On the Bit-Complexity of Discrete Solutions of PDEs: Compact Multigrid. ICALP 1990: 612-625 - [c15]Dario Bini, Victor Y. Pan:
Parallel Polynomial Computations by Recursive Processes. ISSAC 1990: 294 - [c14]Victor Y. Pan:
Parallel Least-Squares Solution of General and Toeplitz Systems. SPAA 1990: 244-253
1980 – 1989
- 1989
- [j16]Zvi Galil, Victor Y. Pan:
Parallel Evaluation of the Determinant and of the Inverse of a Matrix. Inf. Process. Lett. 30(1): 41-45 (1989) - [j15]Victor Y. Pan, John H. Reif:
Fast and Efficient Solution of Path Algebra Problems. J. Comput. Syst. Sci. 38(3): 494-510 (1989) - [c13]Victor Y. Pan:
On Some Computations with Dense Structured Matrices. ISSAC 1989: 34-42 - 1988
- [j14]Zvi Galil, Victor Y. Pan:
Improved processor bounds for combinatorial problems in RNC. Comb. 8(2): 189-200 (1988) - [j13]Victor Y. Pan:
Computing the Determinant and the Characteristic Polynomial of a Matrix via Solving Linear Systems of Equations. Inf. Process. Lett. 28(2): 71-75 (1988) - 1987
- [j12]Dario Bini, Victor Y. Pan:
A Logarithmic Boolean Time Algorithm for Parallel Polynomial Division. Inf. Process. Lett. 24(4): 233-237 (1987) - [j11]Victor Y. Pan:
Complexity of Parallel Matrix Computations. Theor. Comput. Sci. 54: 65-85 (1987) - [c12]Victor Y. Pan, John H. Reif:
Some Polynomial and Toeplitz Matrix Computations. FOCS 1987: 173-184 - 1986
- [j10]Victor Y. Pan:
The Trade-Off Between the Additive Complexity and the Asynchronicity of Linear and Bilinear Algorithms. Inf. Process. Lett. 22(1): 11-14 (1986) - [j9]Dario Bini, Victor Y. Pan:
Polynomial division and its computational complexity. J. Complex. 2(3): 179-203 (1986) - [c11]Dario Bini, Victor Y. Pan:
A Logarithmic Boolean Time Algorithm for Parallel Polynomial Division. Aegean Workshop on Computing 1986: 246-251 - [c10]Victor Y. Pan, John H. Reif:
Fast and Efficient Parallel Linear Programming and Linear Least Squares Computations. Aegean Workshop on Computing 1986: 283-295 - [c9]Victor Y. Pan, John H. Reif:
Extension of the Parallel Nested Dissection Algorithm to Path Algebra Problems. FSTTCS 1986: 470-487 - 1985
- [j8]Dario Bini, Victor Y. Pan:
Fast Parallel Polynomial Division via Reduction to Triangular Toeplitz Matrix Inversion and to Polynomial Inversion Modulo a Power. Inf. Process. Lett. 21(2): 79-81 (1985) - [c8]Dario Bini, Victor Y. Pan:
Algorithms for Polynominal Division. European Conference on Computer Algebra (2) 1985: 1-3 - [c7]Zvi Galil, Victor Y. Pan:
Improved Processor Bounds for Algebraic and Combinatorial Problems in RNC. FOCS 1985: 490-495 - [c6]Victor Y. Pan:
Fast and Efficient Algorithms for Sequential and Parallel Evaluation of Polynomial Zeros and of Matrix Polynomials. FOCS 1985: 522-531 - [c5]Victor Y. Pan:
Fast and Efficient Parallel Algorithms for the Exact Inversion of Integer Matrices. FSTTCS 1985: 504-519 - [c4]Victor Y. Pan, John H. Reif:
Efficient Parallel Solution of Linear Systems. STOC 1985: 143-152 - 1984
- [b1]Victor Y. Pan:
How to Multiply Matrices Faster. Lecture Notes in Computer Science 179, Springer 1984, ISBN 3-540-13866-8 - [j7]Victor Y. Pan:
The Technique of Trilinear Aggregating and the Recent Progress in the Asymptotic Acceleration of Matrix Operations. Theor. Comput. Sci. 33: 117-138 (1984) - 1983
- [j6]Victor Y. Pan:
The Additive and Logical Complexities of Linear and Bilinear Arithmetic Algorithms. J. Algorithms 4(1): 1-34 (1983) - 1981
- [j5]Victor Y. Pan:
The Lower Bounds on the Additive Complexity of Bilinear Problems in Terms of Some Algebraic Quantities. Inf. Process. Lett. 13(2): 71-72 (1981) - [j4]Victor Y. Pan:
The Bit-Complexity of Arithmetic Algorithms. J. Algorithms 2(2): 144-163 (1981) - [j3]Victor Y. Pan:
A Unified Approach to the Analysis of Bilinear Algorithms. J. Algorithms 2(3): 301-310 (1981) - 1980
- [j2]Victor Y. Pan:
Convolution of Vectors over the Real Field of Constants by Evaluation - Interpolation Algorithms. J. Algorithms 1(4): 297-300 (1980) - [j1]Victor Y. Pan:
New Fast Algorithms for Matrix Operations. SIAM J. Comput. 9(2): 321-342 (1980)
1970 – 1979
- 1979
- [c3]Victor Y. Pan:
Field Extension and Triangular Aggregating, Uniting and Canceling for the Acceleration of Matrix Multiplications. FOCS 1979: 28-38 - 1978
- [c2]Victor Y. Pan:
Strassen's Algorithm Is not Optimal: Trililnear Technique of Aggregating, Uniting and Canceling for Constructing Fast Algorithms for Matrix Operations. FOCS 1978: 166-176 - [c1]Victor Y. Pan:
Computational Complexity of Computing Polynomials over the Fields of Real and Complex Numbers. STOC 1978: 162-172
Coauthor Index
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