Results 71 to 80 of about 231,311 (211)

A Sixth-Order Iterative Scheme Through Weighted Rational Approximations for Computing the Matrix Sign Function

Mathematics
This work introduces a sixth-order multi-step iterative algorithm for obtaining the matrix sign function of nonsingular matrices. The presented methodology employs optimized rational approximations combined with strategically formulated weight functions ...
Ce Zhang, Bo Zhao, Wenjing Ren, Ruosong Cao, Tao Liu   +4 more
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Topical Issue Applied and Numerical Linear Algebra (2/2) [PDF]

, 2020
Stefan Güttel, Jörg Liesen
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Accurate Computations with Block Checkerboard Pattern Matrices

Mathematics
In this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some ...
Jorge Delgado, Héctor Orera, J. M. Peña   +2 more
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Rayleigh-Quotient Representation of the Real Parts, Imaginary Parts, and Moduli of the Eigenvalues of Diagonalizable Matrices

Journal of Mathematical Sciences and Modelling, 2019
In the present paper, formulas for the Rayleigh-quotient representation of the real parts, imaginary parts, and moduli of the eigenvalues of diagonalizable matrices are obtained that resemble corresponding formulas for the eigenvalues of self-adjoint ...
Ludwig Kohaupt
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Symbolic algorithm for solving SLAEs with multi-diagonal coefficient matrices

Discrete and Continuous Models and Applied Computational Science
Systems of linear algebraic equations with multi-diagonal coefficient matrices may arise after many different scientific and engineering problems, as well as problems of the computational linear algebra where finding the solution of such a system of ...
Veneva Milena
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Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software [PDF]

, 2023
Riley Murray, James Demmel, Michael W. Mahoney, N. Benjamin Erichson, Maksim Melnichenko, Osman Asif Malik, Laura Grigori, Piotr Łuszczek, Michał Dereziński, Miles E. Lopes, Tianyu Liang, Hengrui Luo, Jack Dongarra   +12 more
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Numerical Linear Algebra in Signal Processing Applications

EURASIP Journal on Advances in Signal Processing, 2007
Van Dooren Paul, Golub Gene H, Moonen Marc, Van Huffel Sabine, Chandrasekaran Shivkumar, Mastronardi Nicola   +5 more
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The Application of the Bidiagonal Factorization of Totally Positive Matrices in Numerical Linear Algebra

Axioms
The approach to solving linear systems with structured matrices by means of the bidiagonal factorization of the inverse of the coefficient matrix is first considered in this review article, the starting point being the classical Björck–Pereyra algorithms
José-Javier Martínez
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Application-Based Fault Tolerance for Numerical Linear Algebra at Large Scale

, 2022
Daniel Alberto Torres González
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The Parallel Tiled WZ Factorization Algorithm for Multicore Architectures

International Journal of Applied Mathematics and Computer Science, 2019
The aim of this paper is to investigate dense linear algebra algorithms on shared memory multicore architectures. The design and implementation of a parallel tiled WZ factorization algorithm which can fully exploit such architectures are presented. Three
Bylina Beata, Bylina Jarosław
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