Ralph Byers

According to our database, Ralph Byers authored at least 17 papers between 1992 and 2011.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2011

Robust formulas for optimal H_∞ controllers.

Peter Benner, Ralph Byers, Philip Losse, Volker Mehrmann, Hongguo Xu

Autom., 2011

2010

On Pseudospectra, Critical Points, and Multiple Eigenvalues of Matrix Pencils.

Sk. Safique Ahmad, Rafikul Alam, Ralph Byers

SIAM J. Matrix Anal. Appl., 2010

2008

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

2006

Structured Condition Numbers for Invariant Subspaces.

Ralph Byers, Daniel Kressner

SIAM J. Matrix Anal. Appl., 2006

An Arithmetic for Matrix Pencils: Theory and New Algorithms.

Peter Benner, Ralph Byers

Numerische Mathematik, 2006

2003

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

Ralph Byers, Peter Benner

Proceedings of the 7th European Control Conference, 2003

2002

The Multishift <i>QR</i> Algorithm. Part II: Aggressive Early Deflation.

Karen Braman, Ralph Byers, Roy Mathias

SIAM J. Matrix Anal. Appl., 2002

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

Karen Braman, Ralph Byers, Roy Mathias

SIAM J. Matrix Anal. Appl., 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

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

Peter Benner, Ralph Byers, Rafael Mayo, Enrique S. Quintana-Ortí, Vicente Hernández

J. Parallel Distributed Comput., 2002

2001

Evaluating products of matrix pencils and collapsing matrix products.

Peter Benner, Ralph Byers

Numer. Linear Algebra Appl., 2001

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

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

1998

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

Peter Benner, Ralph Byers

IEEE Trans. Autom. Control., 1998

1997

The Matrix Sign Function Method and the Computation of Invariant Subspaces.

Ralph Byers, Chunyang He, Volker Mehrmann

SIAM J. Matrix Anal. Appl., July, 1997

1993

Numerical Methods for Simultaneous Diagonalization.

Angelika Bunse-Gerstner, Ralph Byers, Volker Mehrmann

SIAM J. Matrix Anal. Appl., October, 1993

1992

A Chart of Numerical Methods for Structured Eigenvalue Problems.

Angelika Bunse-Gerstner, Ralph Byers, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 1992