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ORCIDAaron Melman
Person information
- affiliation: Santa Clara University, USA
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Journal Articles
- 2024
[j26]Aaron Melman:
An efficient approximation to the Cauchy radius. Numer. Algorithms 96(1): 1-11 (2024)- 2022
- [j25]Aaron Melman
:
Polynomials Whose Zeros Are Powers of a Given Polynomial's Zeros. Am. Math. Mon. 129(3): 276-280 (2022) - 2021
- [j24]Aaron Melman:
Zero Exclusion Sectors for Some Polynomials with Structured Coefficients. Am. Math. Mon. 128(4): 322-336 (2021) - 2018
- [j23]Aaron Melman:
Eigenvalue bounds for matrix polynomials in generalized bases. Math. Comput. 87(312): 1935-1948 (2018) - [j22]Aaron Melman:
Optimality of a Polynomial Multiplier. Am. Math. Mon. 125(2): 158-163 (2018) - 2016
- [j21]Aaron Melman:
On Pellet's Theorem for a class of lacunary polynomials. Math. Comput. 85(298): 707-716 (2016) - 2014
- [j20]Aaron Melman:
Implementation of Pellet's theorem. Numer. Algorithms 65(2): 293-304 (2014) - 2013
- [j19]Aaron Melman:
The Twin of a Theorem by Cauchy. Am. Math. Mon. 120(2): 164-168 (2013) - 2012
- [j18]Aaron Melman:
Modified Gershgorin Disks for Companion Matrices. SIAM Rev. 54(2): 355-373 (2012) - 2009
- [j17]Aaron Melman:
Overshooting Properties of Newton-Like and Ostrowski-Like Methods. Am. Math. Mon. 116(3): 238-250 (2009) - 2008
- [j16]Aaron Melman:
Bounds on the Zeros of the Derivative of a Polynomial with All Real Zeros. Am. Math. Mon. 115(2): 145-147 (2008) - 2007
- [j15]Aaron Melman:
The double-step Newton method for polynomials with all real zeros. Appl. Math. Lett. 20(6): 671-675 (2007) - 2006
- [j14]Aaron Melman:
Computation of the Newton step for the even and odd characteristic polynomials of a symmetric positive definite Toeplitz matrix. Math. Comput. 75(254): 817-832 (2006) - [j13]Aaron Melman, Bill Gragg:
An Optimization Framework for Polynomial Zerofinders. Am. Math. Mon. 113(9): 794-804 (2006) - 2004
- [j12]Aaron Melman:
Computation of the Smallest Even and Odd Eigenvalues of a Symmetric Positive-Definite Toeplitz Matrix. SIAM J. Matrix Anal. Appl. 25(4): 947-963 (2004) - 2001
- [j11]Aaron Melman:
Extreme eigenvalues of real symmetric Toeplitz matrices. Math. Comput. 70(234): 649-669 (2001) - [j10]Aaron Melman:
The Even-Odd Split Levinson Algorithm for Toeplitz Systems. SIAM J. Matrix Anal. Appl. 23(1): 256-270 (2001) - 2000
- [j9]Aaron Melman:
Bounds on the Extreme Eigenvalues of Real Symmetric Toeplitz Matrices. SIAM J. Matrix Anal. Appl. 21(2): 362-378 (2000) - [j8]Aaron Melman, Gad Rabinowitz:
An Efficient Method for a Class of Continuous Nonlinear Knapsack Problems. SIAM Rev. 42(3): 440-448 (2000) - [j7]Aaron Melman:
A recurrence relation for singular real symmetric Toeplitz matrices. IEEE Trans. Signal Process. 48(6): 1829-1831 (2000) - 1998
- [j6]Aaron Melman:
Analysis of third-order methods for secular equations. Math. Comput. 67(221): 271-286 (1998) - 1997
- [j5]Aaron Melman:
A unifying convergence analysis of second-order methods for secular equations. Math. Comput. 66(217): 333-344 (1997) - [j4]Aaron Melman:
Classroom Note: Geometry and Convergence of Euler's and Halley's Methods. SIAM Rev. 39(4): 728-735 (1997) - 1996
- [j3]Aaron Melman, R. Polyak:
The Newton modified barrier method for QP problems. Ann. Oper. Res. 62(1): 465-519 (1996) - [j2]Aaron Melman:
A Linesearch Procedure in Barrier Methods for Some Convex Programming Problems. SIAM J. Optim. 6(2): 283-298 (1996) - 1994
- [j1]Aaron Melman:
A new linesearch method for quadratically constrained convex programming. Oper. Res. Lett. 16(2): 67-77 (1994)
Informal and Other Publications
- 2022
- [i2]Aaron Melman:
Root finding techniques that work. CoRR abs/2204.02326 (2022) - 2021
- [i1]Aaron Melman:
An octagon containing the numerical range of a bounded linear operator. CoRR abs/2102.04572 (2021)
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