Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices

DOI10.1016/j.cam.2009.11.032zbMath1185.65070OpenAlexW1979674792MaRDI QIDQ848542

João R. Cardoso, Fátima Silva Leite

Publication date: 4 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.032

zbMATH Keywords

Padé approximantsskew-symmetric matrixmatrix exponentialorthogonal matrixmatrix logarithmscaling and squaringEuclidean group of rigid motionsinverse scaling and squaring

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12) Matrix exponential and similar functions of matrices (15A16) Orthogonal matrices (15B10)

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Uses Software

• MATLAB expm

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• On the zeros and poles of Padé approximants to \(e^z\)
• Computing the square root and logarithm of a real \(P\)-orthogonal matrix
• Padé and Gregory error estimates for the logarithm of block triangular matrices
• Numerical Computation of the Matrix Exponential with Accuracy Estimate
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Condition Estimates for Matrix Functions
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Functions of Matrices