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Journal Articles
- 2011
[j16]Peter Benner
, Ralph Byers, Philip Losse, Volker Mehrmann, Hongguo Xu:
Robust formulas for optimal H∞ controllers. Autom. 47(12): 2639-2646 (2011)- 2010
- [j15]Sk. Safique Ahmad, Rafikul Alam, Ralph Byers:
On Pseudospectra, Critical Points, and Multiple Eigenvalues of Matrix Pencils. SIAM J. Matrix Anal. Appl. 31(4): 1915-1933 (2010) - 2008
- [j14]Ralph Byers, Hongguo Xu:
A New Scaling for Newton's Iteration for the Polar Decomposition and its Backward Stability. SIAM J. Matrix Anal. Appl. 30(2): 822-843 (2008) - 2006
- [j13]Peter Benner, Ralph Byers:
An Arithmetic for Matrix Pencils: Theory and New Algorithms. Numerische Mathematik 103(4): 539-573 (2006) - [j12]Ralph Byers, Daniel Kressner:
Structured Condition Numbers for Invariant Subspaces. SIAM J. Matrix Anal. Appl. 28(2): 326-347 (2006) - 2002
- [j11]Peter Benner, Ralph Byers, Rafael Mayo, Enrique S. Quintana-Ortí, Vicente Hernández:
Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems. J. Parallel Distributed Comput. 62(2): 306-325 (2002) - [j10]Karen Braman, Ralph Byers, Roy Mathias:
The Multishift QR Algorithm. Part I: Maintaining Well-Focused Shifts and Level 3 Performance. SIAM J. Matrix Anal. Appl. 23(4): 929-947 (2002) - [j9]Karen Braman, Ralph Byers, Roy Mathias:
The Multishift QR Algorithm. Part II: Aggressive Early Deflation. SIAM J. Matrix Anal. Appl. 23(4): 948-973 (2002) - [j8]Peter Benner, Ralph Byers, Volker Mehrmann, Hongguo Xu:
Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils. SIAM J. Matrix Anal. Appl. 24(1): 165-190 (2002) - 2001
- [j7]Peter Benner, Ralph Byers:
Evaluating products of matrix pencils and collapsing matrix products. Numer. Linear Algebra Appl. 8(6-7): 357-380 (2001) - 2000
- [j6]Peter Benner, Ralph Byers, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search. Parallel Comput. 26(10): 1345-1368 (2000) - [j5]Peter Benner, Ralph Byers, Eric Barth:
Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method. ACM Trans. Math. Softw. 26(1): 49-77 (2000) - 1998
- [j4]Peter Benner, Ralph Byers:
An exact line search method for solving generalized continuous-time algebraic Riccati equations. IEEE Trans. Autom. Control. 43(1): 101-107 (1998) - 1997
- [j3]Ralph Byers, Chunyang He, Volker Mehrmann:
The Matrix Sign Function Method and the Computation of Invariant Subspaces. SIAM J. Matrix Anal. Appl. 18(3): 615-632 (1997) - 1993
- [j2]Angelika Bunse-Gerstner, Ralph Byers, Volker Mehrmann:
Numerical Methods for Simultaneous Diagonalization. SIAM J. Matrix Anal. Appl. 14(4): 927-949 (1993) - 1992
- [j1]Angelika Bunse-Gerstner, Ralph Byers, Volker Mehrmann:
A Chart of Numerical Methods for Structured Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 13(2): 419-453 (1992)
Conference and Workshop Papers
- 2003
- [c1]Ralph Byers, Peter Benner:
A structure-preserving method for generalized algebraic Riccati equations based on pencil arithmetic. ECC 2003: 957-962
Coauthor Index
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