A Chart of Numerical Methods for Structured Eigenvalue Problems. - Angelika Bunse-Gerstner; Ralph Byers; Volker Mehrmann (SIAM J. Matrix Anal. Appl., 1992)

Numerical Methods for Simultaneous Diagonalization. - Angelika Bunse-Gerstner; Ralph Byers; Volker Mehrmann (SIAM J. Matrix Anal. Appl., 1993)

The Matrix Sign Function Method and the Computation of Invariant Subspaces. - Ralph Byers; Chunyang He; Volker Mehrmann (SIAM J. Matrix Anal. Appl., 1997)

An exact line search method for solving generalized continuous-time algebraic Riccati equations. - Peter Benner; Ralph Byers (IEEE Trans. Autom. Control., 1998)

Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search. - Peter Benner; Ralph Byers; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Parallel Comput., 2000)

Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method. - Peter Benner; Ralph Byers; Eric Barth (ACM Trans. Math. Softw., 2000)

Evaluating products of matrix pencils and collapsing matrix products. - Peter Benner; Ralph Byers (Numer. Linear Algebra Appl., 2001)

Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems. - Peter Benner; Ralph Byers; Rafael Mayo 002; Enrique S. Quintana-Ortí; Vicente Hernández (J. Parallel Distributed Comput., 2002)

Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils. - Peter Benner; Ralph Byers; Volker Mehrmann; Hongguo Xu (SIAM J. Matrix Anal. Appl., 2002)

The Multishift QR Algorithm. Part I: Maintaining Well-Focused Shifts and Level 3 Performance. - Karen Braman; Ralph Byers; Roy Mathias (SIAM J. Matrix Anal. Appl., 2002)

The Multishift QR Algorithm. Part II: Aggressive Early Deflation. - Karen Braman; Ralph Byers; Roy Mathias (SIAM J. Matrix Anal. Appl., 2002)

A structure-preserving method for generalized algebraic Riccati equations based on pencil arithmetic. - Ralph Byers; Peter Benner (ECC, 2003)

An Arithmetic for Matrix Pencils: Theory and New Algorithms. - Peter Benner; Ralph Byers (Numerische Mathematik, 2006)

Structured Condition Numbers for Invariant Subspaces. - Ralph Byers; Daniel Kressner (SIAM J. Matrix Anal. Appl., 2006)

A New Scaling for Newton's Iteration for the Polar Decomposition and its Backward Stability. - Ralph Byers; Hongguo Xu (SIAM J. Matrix Anal. Appl., 2008)

On Pseudospectra, Critical Points, and Multiple Eigenvalues of Matrix Pencils. - Sk. Safique Ahmad; Rafikul Alam; Ralph Byers (SIAM J. Matrix Anal. Appl., 2010)

Robust formulas for optimal H∞ controllers. - Peter Benner; Ralph Byers; Philip Losse; Volker Mehrmann; Hongguo Xu (Autom., 2011)