Recursive blocked algorithms for solving triangular systems?Part II two-sided and generalized Sylvester and Lyapunov matrix equations.

Recursive blocked algorithms for solving triangular systems?Part II two-sided and generalized Sylvester and Lyapunov matrix equations.

We continue our study of high-performance algorithms for solving triangular matrix equations. They appear naturally in different condition estimation problems for matrix equations and various eigenspace computations, and as reduced systems in standard algorithms. Building on our successful recursive...

Disgrifiad llawn

Manylion Llyfryddiaeth
Cyhoeddwyd yn:ACM transactions on mathematical software. 28, 4 (2002).
Prif Awdur: Jonsson, Isak
Awduron Eraill: Kågström, Bo
Fformat: Erthygl
Iaith:English
Pynciau:
GEMM-based.
LAPACK.
Matrix equations.
SLICOT.
SMP parallelization.
Automatic blocking.
Generalized Sylvester and Lyapunov.
Level-3 BLAS.
Recursion.
Standard discrete-time Sylvester and Lyapunov.
Superscalar.