Conditioning of matrix functions at quasi-triangular matrices
From MaRDI portal
Publication:6540318
DOI10.1137/22M1543689zbMATH Open1539.65056MaRDI QIDQ6540318
Publication date: 15 May 2024
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Fréchet derivativepower methodtriangular matrixmatrix functionKronecker formstructured condition numberquasi-triangular matrix
Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12) Numerical computation of matrix exponential and similar matrix functions (65F60)
Cites Work
- Title not available (Why is that?)
- Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
- The complex step approximation to the Fréchet derivative of a matrix function
- The complex step approximation to the higher order Fréchet derivatives of a matrix function
- Computing the Fréchet derivative of the matrix logarithm and estimating the condition number
- An Improved Schur--Padé Algorithm for Fractional Powers of a Matrix and Their Fréchet Derivatives
- Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm
- A Multiprecision Derivative-Free Schur--Parlett Algorithm for Computing Matrix Functions
- A New Scaling and Squaring Algorithm for the Matrix Exponential
- Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation
- Structured Perturbations Part I: Normwise Distances
- Structured Perturbations Part II: Componentwise Distances
- A Schur-Parlett Algorithm for Computing Matrix Functions
- Computing the Wave-Kernel Matrix Functions
- Structured conditioning of matrix functions
- Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods
- The Structured Condition Number of a Differentiable Map between Matrix Manifolds, with Applications
- An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential
- New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously
- The Scaling and Squaring Method for the Matrix Exponential Revisited
- Multiprecision Algorithms for Computing the Matrix Logarithm
- Functions of Matrices
- Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative
This page was built for publication: Conditioning of matrix functions at quasi-triangular matrices
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6540318)