Error analysis of Padé iterations for computing matrix invariant subspaces

DOI10.1007/s11464-009-0013-9zbMath1183.65039OpenAlexW2167941895MaRDI QIDQ1042551

Rui He, Zhenyue Zhang

Publication date: 14 December 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0013-9

zbMATH Keywords

matrix sign functionrounding errorsubspace approximationInvariant subspacePadé matrix iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

Related Items (1)

The Padé iterations for the matrix sign function and their reciprocals are optimal

Uses Software

• mctoolbox

Cites Work

• Unnamed Item
• The matrix sign function and computations in systems
• Solving stable generalized Lyapunov equations with the matrix sign function
• Stable iterations for the matrix square root
• Structure and Perturbation Analysis of Truncated SVDs for Column-Partitioned Matrices
• Higher Order Paraxial Wave Equation Approximations in Heterogeneous Media
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• The Matrix Sign Function Method and the Computation of Invariant Subspaces
• Accuracy and Stability of Numerical Algorithms
• The matrix sign function
• Rational Iterative Methods for the Matrix Sign Function

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