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

DOI10.1145/1824801.1824810zbMath1364.65079OpenAlexW2054112675WikidataQ113310476 ScholiaQ113310476MaRDI QIDQ2989116

Robert Granat, Bo Kågström

Publication date: 19 May 2017

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1824801.1824810

zbMATH Keywords

eigenvalue problemscondition estimationSylvester matrix equationslibrary software

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Packaged methods for numerical algorithms (65Y15)

Related Items

Recursive blocked algorithms for linear systems with Kronecker product structure ⋮ Parallel two-stage reduction to Hessenberg form using dynamic scheduling on shared-memory architectures ⋮ Coupled Sylvester-type Matrix Equations and Block Diagonalization ⋮ On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations

Uses Software

• ScaLAPACK
• SCASY
• OpenMPI