Výsledky vyhledávání - "Nicholas Higham"

Elektronická kniha

Autor: Nicholas Higham, M. J. Ryan

The Anglo-Saxon period, stretching from the fifth to the late eleventh century, begins with the Roman retreat from the Western world and ends with the Norman takeover of England. Between these epochal events, many of the contours and patterns of Engl

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Anymatrix: an extensible MATLAB matrix collection

Autor: Nicholas Higham, Mantas Mikaitis

Publikováno v: Numerical Algorithms. 90:1175-1196

Anymatrix is a MATLAB toolbox that provides an extensible collection of matrices with the ability to search the collection by matrix properties. Each matrix is implemented as a MATLAB function and the matrices are arranged in groups. Compared with pr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a3b482c4e609f14d69e10bf855f157f9
https://doi.org/10.1007/s11075-021-01226-2

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ARBITRARY PRECISION ALGORITHMS FOR COMPUTING THE MATRIX COSINE AND ITS FRECHET DERIVATIVE

Autor: Nicholas Higham, Awad Al-Mohy, Xiaobo Liu

Publikováno v: Al-Mohy, A, Higham, N & Liu, X 2022, ' ARBITRARY PRECISION ALGORITHMS FOR COMPUTING THE MATRIX COSINE AND ITS FRECHET DERIVATIVE ', SIAM Journal on Matrix Analysis and Applications . https://doi.org/10.1137/21M1441043

Existing algorithms for computing the matrix cosine are tightly coupled to a specific precision of floating-point arithmetic for optimal efficiency so they do not conveniently extend to an arbitrary precision environment. We develop an algorithm for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c76d5a3007e51831b692738755d5dd4e
https://www.research.manchester.ac.uk/portal/en/publications/arbitrary-precision-algorithms-for-computing-the-matrix-cosine-and-its-frechet-derivative(1abb7ba2-fea4-48b5-8214-fd7eba189e46).html

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Optimizing and factorizing the Wilson matrix

Autor: Nicholas Higham, Matthew Lettington

The Wilson matrix, W, is a 4 × 4 unimodular symmetric positive definite matrix of integers that has been used as a test matrix since the 1940’s, owing to its mild ill-conditioning. We ask how close W is to being the most ill-conditioned matrix in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::995e70b6c5b66319b857796fcf689f85

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Five-Precision GMRES-based iterative refinement

Autor: Patrick Amestoy, Alfredo Buttari, Nicholas Higham, Excellent, Jean-Yves L., Théo Mary, Bastien Vieublé

Publikováno v: HAL

GMRES-based iterative refinement in three precisions (GMRES-IR3) uses a low precision LU factorization to accelerate the solution of a linear system without compromising numerical stability or robustness. GMRES-IR3 solves the update equation using GM

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ccc7ad64148168d0af2403682be79ed1
https://hal.archives-ouvertes.fr/hal-03190686

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