An initial guess of Newton's method for the matrix square root based on a sphere constrained optimization problem

DOI10.14495/jsiaml.8.17OpenAlexW2334388957MaRDI QIDQ3121452

Tomohiro Sogabe, Yosuke Moriizumi, Sho Mizuno, Tsuyoshi Sasaki Usuda

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.8.17

zbMATH Keywords

Newton's methodquadratic convergencematrix square rootinitial guess

Mathematics Subject Classification ID

Numerical analysis (65-XX) Sequences, series, summability (40-XX)

Related Items (1)

An iterative method for solving the stable subspace of a matrix pencil and its application

Uses Software

• mftoolbox

Cites Work

• A numerical method for computing the principal square root of a matrix
• Newton's Method for the Matrix Square Root
• Functions of Matrices

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