Distributed and Shared Memory Block Algorithms for the Triangular Sylvester Equation with $\operatorname{sep}^{ - 1} $ Estimators

DOI10.1137/0613009zbMath0746.65027OpenAlexW1969220859MaRDI QIDQ3988977

Bo Kågström, Peter Poromaa

Publication date: 28 June 1992

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0613009

zbMATH Keywords

performanceparallel algorithmscondition number estimationshared memory algorithmsquasi-triangular Sylvester equations

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (10)

Perturbation theory and backward error for \(AX - XB = C\) ⋮ Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices ⋮ Methods and algorithms of solving spectral problems for polynomial and rational matrices ⋮ An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation ⋮ Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm ⋮ Computing periodic deflating subspaces associated with a specified set of eigenvalues ⋮ On estimating the separation of two periodic matrix sequences ⋮ On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations ⋮ RECSY and SCASY Library Software: Recursive Blocked and Parallel Algorithms for Sylvester-Type Matrix Equations with Some Applications ⋮ Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian

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