A Multiprecision Derivative-Free Schur--Parlett Algorithm for Computing Matrix Functions
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Publication:3382791
DOI10.1137/20M1365326zbMath1476.65067OpenAlexW3083409701MaRDI QIDQ3382791
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Publication date: 22 September 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1365326
Schur decompositionmatrix functionParlett recurrencematrix Mittag-Leffler functionmultiprecision arithmeticSchur-Parlett algorithmmultiprecision algorithmrandomized approximate diagonalization
Related Items (8)
Exploiting higher computational efficiency index for computing outer generalized inverses ⋮ Mixed precision algorithms in numerical linear algebra ⋮ funm ⋮ Mixed Precision Recursive Block Diagonalization for Bivariate Functions of Matrices ⋮ Calculating a function of a matrix with a real spectrum ⋮ Structured level-2 condition numbers of matrix functions ⋮ PACF: a precision-adjustable computational framework for solving singular values ⋮ Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative
Uses Software
Cites Work
- On fractional matrix exponentials and their explicit calculation
- Solving the time-fractional Schrödinger equation by Krylov projection methods
- Computing real square roots of a real matrix
- On the use of matrix functions for fractional partial differential equations
- Spectral properties of a matrix of Redheffer
- Computing the matrix Mittag-Leffler function with applications to fractional calculus
- On the time-fractional Schrödinger equation: theoretical analysis and numerical solution by matrix Mittag-Leffler functions
- Numerical solution of multiterm fractional differential equations using the matrix Mittag-Leffler functions
- Computing matrix functions
- On the Convergence of Krylov Subspace Methods for Matrix Mittag–Leffler Functions
- Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm
- Approximate Diagonalization
- A New Scaling and Squaring Algorithm for the Matrix Exponential
- Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
- Small-Sample Statistical Condition Estimates for General Matrix Functions
- On computing condition numbers for the nonsymmetric eigenproblem
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- A Schur-Parlett Algorithm for Computing Matrix Functions
- Condition Estimates for Matrix Functions
- The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
- Accuracy and Stability of Numerical Algorithms
- An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- An Algorithm for the Matrix Lambert $W$ Function
- Multiprecision Algorithms for Computing the Matrix Logarithm
- Functions of Matrices
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