Zolotarev Iterations for the Matrix Square Root
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Publication:5232113
DOI10.1137/18M1178529zbMath1420.65057arXiv1804.11000OpenAlexW2963228395WikidataQ127781427 ScholiaQ127781427MaRDI QIDQ5232113
Publication date: 29 August 2019
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.11000
minimaxNewton iterationmatrix square rootrational approximationmatrix iterationChebyshev approximationZolotarevpadé approximationDenman-Beavers iteration
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Related Items (3)
Scaled fixed point algorithm for computing the matrix square root ⋮ Approximating the \(p\)th root by composite rational functions ⋮ Rational minimax iterations for computing the matrix \(p\)th root
Uses Software
Cites Work
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- The matrix sign function and computations in systems
- Stable iterations for the matrix square root
- A note on computing the matrix square root
- Betrachtungen zur Quadratwurzeliteration
- Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane
- Zolotarev Quadrature Rules and Load Balancing for the FEAST Eigensolver
- The ADI Model Problem
- Computing Fundamental Matrix Decompositions Accurately via the Matrix Sign Function in Two Iterations: The Power of Zolotarev's Functions
- A New Scaling for Newton's Iteration for the Polar Decomposition and its Backward Stability
- Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals
- On Convergence and Degeneracy in Rational Padé and Chebyshev Approximation
- On the Singular Values of Matrices with Displacement Structure
- The Matrix Square Root from a New Functional Perspective: Theoretical Results and Computational Issues
- A Backward Stable Algorithm for Computing the CS Decomposition via the Polar Decomposition
- Newton's Method for the Matrix Square Root
- Functions Preserving Matrix Groups and Iterations for the Matrix Square Root
- Fast Computation of Spectral Projectors of Banded Matrices
- Functions of Matrices
- Best Rational Starting Approximations and Improved Newton Iteration for the Square Root
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