Theoretical and numerical considerations about Padé approximants for the matrix logarithm
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Publication:5940024
DOI10.1016/S0024-3795(01)00251-8zbMath0981.65053WikidataQ126351588 ScholiaQ126351588MaRDI QIDQ5940024
Fátima Silva Leite, João R. Cardoso
Publication date: 23 July 2001
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
algorithmPadé approximationconditioningmatrix Lie groups\(P\)-orthogonal groupsBriggs-Padé methodmatrix logarithms
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Matrix functions nonregular on the convex hull of the spectrum ⋮ Norm estimates for functions of a Hilbert-Schmidt operator nonregular on the convex hull of the spectrum ⋮ Verified computation for the matrix principal logarithm ⋮ Structured condition number for a certain class of functions of non-commuting matrices ⋮ Computing the square root and logarithm of a real \(P\)-orthogonal matrix ⋮ Structured level-2 condition numbers of matrix functions ⋮ Multiprecision Algorithms for Computing the Matrix Logarithm ⋮ Padé and Gregory error estimates for the logarithm of block triangular matrices ⋮ Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms ⋮ Perturbations of operator functions: a survey
Cites Work
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- Real Hamiltonian logarithm of a symplectic matrix
- Consideration on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms
- The De Casteljau algorithm on Lie groups and spheres
- Padé error estimates for the logarithm of a matrix
- A Schur--Fréchet Algorithm for Computing the Logarithm and Exponential of a Matrix
- Condition Estimates for Matrix Functions
- Computational Techniques for Real Logarithms of Matrices
- Conditioning and Padé Approximation of the Logarithm of a Matrix
- On the Existence and Uniqueness of the Real Logarithm of a Matrix
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