Ralph Byers

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Evaluating products of matrix pencils and collapsing matrix products

Peter Benner, Ralph Byers, R. Byers, 2001, Numer. Linear Algebra Appl..

An Arithmetic for Matrix Pencils: Theory and New Algorithms

Peter Benner, Ralph Byers, R. Byers, 2006, Numerische Mathematik.

Robust formulas for optimal H∞ controllers

Peter Benner, Volker Mehrmann, Ralph Byers, 2011, Autom..

A New Scaling for Newton's Iteration for the Polar Decomposition and its Backward Stability

Ralph Byers, Hongguo Xu, R. Byers, 2008, SIAM J. Matrix Anal. Appl..

Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method

Peter Benner, Eric Barth, Ralph Byers, 2000, TOMS.

The Multishift QR Algorithm. Part I: Maintaining Well-Focused Shifts and Level 3 Performance

Karen S. Braman, Roy Mathias, Ralph Byers, 2001, SIAM J. Matrix Anal. Appl..

Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2000, Parallel Comput..

Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2002, J. Parallel Distributed Comput..

Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils

Peter Benner, Volker Mehrmann, Ralph Byers, 2002, SIAM J. Matrix Anal. Appl..

A Chart of Numerical Methods for Structured Eigenvalue Problems

Volker Mehrmann, Angelika Bunse-Gerstner, Ralph Byers, 1992, SIAM J. Matrix Anal. Appl..

The Multishift QR Algorithm. Part II: Aggressive Early Deflation

Karen S. Braman, Roy Mathias, Ralph Byers, 2001, SIAM J. Matrix Anal. Appl..

Structured Condition Numbers for Invariant Subspaces

Daniel Kressner, Ralph Byers, R. Byers, 2006, SIAM J. Matrix Anal. Appl..

On the stability radius of a generalized state-space system

Nancy Nichols, Ralph Byers, R. Byers, 1993 .

On the singular “Vectors of the Lyapunov operator

Stephen G. Nash, Ralph Byers, S. Nash, 1987 .

Weighted means and oscillation conditions for second order matrix differential equations

Ralph Byers, R. Byers, B J Harris, 1986 .

A quaternion QR algorithm

Volker Mehrmann, Angelika Bunse-Gerstner, Ralph Byers, 1989 .

A STRUCTURED STAIRCASE ALGORITHM FOR SKEW-SYMMETRIC / SYMMETRIC

Volker Mehrmann, Ralph Byers, Hongguo Xu, 2005 .

Staircase forms and trimmed linearizations for structured matrix polynomials

Volker Mehrmann, Ralph Byers, Hongguo Xu, 2007 .

Numerical Methods for Linear Quadratic and H∞ Control Problems

Peter Benner, Volker Mehrmann, Ralph Byers, 1999 .

An Arithmetic for Matrix Pencils

Peter Benner, Ralph Byers, R. Byers, 1998 .

Trimmed linearizations for structured matrix polynomials

Volker Mehrmann, Ralph Byers, Hongguo Xu, 2008 .

On the Condition of a Complex Eigenvalue under Real Perturbations

Daniel Kressner, Ralph Byers, R. Byers, 2004 .

Arithmetic for rectangular matrix pencils

Peter Benner, Ralph Byers, R. Byers, 1999, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404).

An exact line search method for solving generalized continuous-time algebraic Riccati equations

Peter Benner, Ralph Byers, R. Byers, 1998, IEEE Trans. Autom. Control..

A Robust Numerical Method for Optimal H∞ Control

Peter Benner, Volker Mehrmann, Ralph Byers, 2004 .

Newton ' s Method with Exact Line Search for Solving theAlgebraic Riccati Equation

Peter Benner, Ralph Byers, R. Byers, 1995 .

Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components

Michael L. Overton, Rafikul Alam, Ralph Byers, 2011 .

Lapack 3 . 1 xHSEQR : Tuning and Implementation Notes on the Small Bulge Multi-shift QR Algorithm with Aggressive Early Deflation

Ralph Byers, R. Byers, Snow Hall, 2007 .

A robust numerical method for the γ-iteration in H∞ control

Peter Benner, Volker Mehrmann, Ralph Byers, 2007 .

On the matrix sign function method for the computation of invariant subspaces

Volker Mehrmann, Ralph Byers, Chunyang He, 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

Robust numerical methods for robust control

Peter Benner, Volker Mehrmann, Ralph Byers, 2004 .

HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using

Peter Benner, Eric Barth, Ralph Byers, 1998 .

Regularization of Linear Descriptor Systems with Variable Coefficients

Volker Mehrmann, Peter Kunkel, Ralph Byers, 1997 .

A structure-preserving method for generalized algebraic Riccati equations based on pencil arithmetic

Peter Benner, Ralph Byers, R. Byers, 2003, 2003 European Control Conference (ECC).

Hamiltonian and symplectic algorithms for the algebraic riccati equation

Ralph Byers, R. Byers, 1983 .

Where is the nearest non-regular pencil?

Volker Mehrmann, Ralph Byers, R. Byers, 1998 .