Several numerical methods for computing unitary polar factor of a matrix

DOI10.1186/s13662-015-0732-zzbMath1422.65068OpenAlexW2231797500WikidataQ59480676 ScholiaQ59480676MaRDI QIDQ1795555

Farhad Khaksar Haghani, Fazlollah Soleymani, Stanford Shateyi

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0732-z

zbMATH Keywords

numerical methodsiterative methodsorder of convergencepolar decompositionHermitianpolar factor

Mathematics Subject Classification ID

Related Items (4)

On periodic solutions of a discrete Nicholson's dual system with density-dependent mortality and harvesting terms ⋮ Numerically stable iterative methods for computing matrix sign function ⋮ Numerically stable improved Chebyshev-Halley type schemes for matrix sign function ⋮ A fourth-order method for computing the sign function of a matrix with application in the Yang-Baxter-like matrix equation

Uses Software

• Mathematica
• mftoolbox

Cites Work

• Unnamed Item
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• The iterative methods for computing the polar decomposition of rank-deficient matrix
• A fast convergent numerical method for matrix sign function with application in SDEs
• A third-order Newton-type method for finding polar decomposition
• On a fourth-order matrix method for computing polar decomposition
• Approximation of matrices and a family of Gander methods for polar decomposition
• Optimizing Halley's Iteration for Computing the Matrix Polar Decomposition
• Algorithms for the Polar Decomposition
• A New Scaling for Newton's Iteration for the Polar Decomposition and its Backward Stability
• Computing the Polar Decomposition—with Applications
• 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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