Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Awad Al-Mohy"'
Autor:
Bahar Arslan, Awad Al-Mohy
Publikováno v:
Filomat. 36:5603-5614
Applications of Fr?chet derivative emerge in the sensitivity analysis of matrix functions. Our work extends the generalized complex step approximation using the complex computation f (A + ei?hE) as a tool to matrix case, and combines it with finite d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f657a9158b8e113169515e0711129db0
https://doi.org/10.2298/fil2216603a
https://doi.org/10.2298/fil2216603a
Autor:
Awad Al-Mohy
The area of matrix functions has received growing interest for a long period of time due to their growing applications.Having a numerical algorithm for a matrix function, the ideal situation is to have an estimate or bound for the error returned alon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::995b63ccde85102536bef10a9ab49af1
https://doi.org/10.21203/rs.3.rs-2163715/v2
https://doi.org/10.21203/rs.3.rs-2163715/v2
Autor:
Awad Al-Mohy
The area of matrix functions has received growing interest for a long period of time due to their growing applications. Having a numerical algorithm, the ideal situation is to have an estimate or bound for the error returned alongside the solution.Co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::443b853835cad420fcac2f5f8a0bdd24
https://doi.org/10.21203/rs.3.rs-2163715/v1
https://doi.org/10.21203/rs.3.rs-2163715/v1
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
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
Autor:
Awad Al-Mohy, Nicholas Higham
Publikováno v:
Numerical Algorithms; Jan2010, Vol. 53 Issue 1, p133-148, 16p