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pro vyhledávání: '"Pivot element"'
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Akademický článek
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Publikováno v:
Engineering Computations. 39:1781-1801
PurposeThe objective of this paper is to develop a semi-analytical finite element method for solving chemical dissolution-front instability problems in fluid-saturated porous media.Design/methodology/approachThe porosity, horizontal and vertical comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40ad602f98505601c84eb6ec1ad126ce
https://doi.org/10.1108/ec-05-2021-0286
https://doi.org/10.1108/ec-05-2021-0286
Autor:
Mansour Safarpoor, Oleg Davydov
Publikováno v:
Applied Numerical Mathematics. 161:489-509
We propose to solve elliptic interface problems by a meshless finite difference method, where the second order elliptic operator and jump conditions are discretized with the help of the QR decomposition of an appropriately rescaled multivariate Vande
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38ad4c989080df1e0a27350a893a8a42
https://doi.org/10.1016/j.apnum.2020.11.018
https://doi.org/10.1016/j.apnum.2020.11.018
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 42:185-201
We identify a class of random, dense, $n\times n$ matrices for which LU factorization with any form of pivoting produces a growth factor typically of size at least $n/(4 \log n)$ for large $n$. The...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb2dd37f70c38b3f5afa04ccfae7dfec
https://doi.org/10.1137/20m1338149
https://doi.org/10.1137/20m1338149
Autor:
John Perry
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 31:411-434
The F4 algorithm re-imagines Buchberger’s algorithm as the row reduction of a Macaulay matrix: each row corresponds to a polynomial; each reduction of one row by another corresponds to one step of reducing an S-polynomial; and any row that complete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7a9c2e504c0bd5d255b8f47e023e52f
https://doi.org/10.1007/s00200-020-00450-y
https://doi.org/10.1007/s00200-020-00450-y
Autor:
Xinqiang Liu, Weiliang He
Publikováno v:
Algorithms, Vol 11, Iss 10, p 163 (2018)
Class function/shape function transformation (CST) is an advanced geometry representation method employed to generate airfoil coordinates. Aiming at the morbidity of the CST coefficient matrix, the pivot element weighting iterative (PEWI) method is p
Externí odkaz:
https://doaj.org/article/5276adc0ecaa4e6f90ae0e8205b7b8ce
Autor:
Christoph Klein, Robert Strzodka
Publikováno v:
ICPP
Partial pivoting is the method of choice to ensure stability in matrix factorizations performed on CPUs. For sparse matrices, this has not been implemented on GPUs so far because of problems with data-dependent execution flow. This work incorporates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c3997e48e1f62c19847136da7909fe4
https://doi.org/10.1145/3472456.3472484
https://doi.org/10.1145/3472456.3472484
Autor:
Wenjun Yang, Shengrong Hu
Publikováno v:
Journal of Computational and Applied Mathematics. 355:116-127
Commonly used diagonal pivoting strategies for general symmetric matrix would bring about triangular factorization PAP’=LDL’, in which D is block diagonal matrix with either 1 × 1 or 2 × 2 diagonal blocks. This paper proposed a modified add–s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa382a290f9d17aac167589d6195215f
https://doi.org/10.1016/j.cam.2019.01.006
https://doi.org/10.1016/j.cam.2019.01.006