On optimal symmetric orthogonalisation and square roots of a normal matrix

DOI10.1017/S0004972700012478zbMath0781.65038OpenAlexW2137061027MaRDI QIDQ5288103

Nagwa Sherif

Publication date: 25 August 1993

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700012478

zbMATH Keywords

iterative schemecomplex matricesnormal matrixsquare rootspolar factorsoptimal symmetric orthogonalization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Orthogonalization in numerical linear algebra (65F25)

Related Items

Symmetric approximation of frames and bases in Hilbert spaces

Cites Work

• Computing real square roots of a real matrix
• A fast method for computing the principal \(n\)-th roots of complex matrices
• Normal matrices
• Roots of real matrices
• On Square Roots of Normal Operators
• Computing the Polar Decomposition—with Applications
• An Algorithm to Improve Nearly Orthonormal Sets of Vectors on a Vector Processor
• On One-Sided Jacobi Methods for Parallel Computation
• Newton's Method for the Matrix Square Root
• Limit Points of Sequences in Metric Spaces
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Some Metric Inequalities in the Space of Matrices
• The Equivalence of Definitions of a Matric Function
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