Construction of a convergent scheme for finding matrix sign function

DOI10.1016/j.amc.2015.03.049zbMath1410.65135OpenAlexW2026107289MaRDI QIDQ1643060

Malik Zaka Ullah, Eman S. Al-Aidarous

Publication date: 18 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.049

zbMATH Keywords

convergenceiterative methodsmatrix sign functionNewton-Schulz iteration

Mathematics Subject Classification ID

Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (2)

A general approach for improving the Padé iterations for the matrix sign function ⋮ Construction of stable and globally convergent schemes for the matrix sign function

Uses Software

• Mathematica
• mftoolbox

Cites Work

• A computational method for eigenvalues and eigenvectors of a matrix with real eigenvalues
• Approximating the matrix sign function using a novel iterative method
• A numerical method for computing the principal square root of a matrix
• On finding robust approximate inverses for large sparse matrices
• Mathematica in Action
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• Rational Iterative Methods for the Matrix Sign Function
• Functions of Matrices

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