Distributed and shared memory block algorithms for the triangular Sylvester equation with sep-1 estimators

LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs

ACM Transactions on Mathematical Software (TOMS)

Recursive blocked algorithms for solving triangular systems—Part I: one-sided and coupled Sylvester-type matrix equations

ACM Transactions on Mathematical Software (TOMS)

Parallel Triangular Sylvester-Type Matrix Equation Solvers for SMP Systems Using Recursive Blocking

PARA '00 Proceedings of the 5th International Workshop on Applied Parallel Computing, New Paradigms for HPC in Industry and Academia

Parallel Two-Sided Sylvester-Type Matrix Equation Solvers for SMP Systems Using Recursive Blocking

PARA '02 Proceedings of the 6th International Conference on Applied Parallel Computing Advanced Scientific Computing

Parallel and Blocked Algorithms for Reduction of a Regular Matrix Pair to Hessenberg-Triangular and Generalized Schur Forms

PARA '02 Proceedings of the 6th International Conference on Applied Parallel Computing Advanced Scientific Computing

Formal derivation of algorithms: The triangular sylvester equation

ACM Transactions on Mathematical Software (TOMS)

Algorithm Development for Distributed Memory Multicomputers Using CONLAB

Scientific Programming

Parallel Algorithms for Triangular Periodic Sylvester-Type Matrix Equations

Euro-Par '08 Proceedings of the 14th international Euro-Par conference on Parallel Processing

Algorithm 894: On a block Schur--Parlett algorithm for ϕ-functions based on the sep-inverse estimate

ACM Transactions on Mathematical Software (TOMS)

Parallel algorithms and condition estimators for standard and generalized triangular Sylvester-type matrix equations

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing

Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part I: Theory and Algorithms

ACM Transactions on Mathematical Software (TOMS)

On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations

International Journal of Systems Science

Evaluating parallel algorithms for solving sylvester-type matrix equations: direct transformation-based versus iterative matrix-sign-function-based methods

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing