Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Ze-Jia Xie"'
Publikováno v:
East Asian Journal on Applied Mathematics. 12:696-714
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::392918ef4426827b1ea498187f201b7a
https://doi.org/10.4208/eajam.181120.050122
https://doi.org/10.4208/eajam.181120.050122
Publikováno v:
Operators and Matrices. :645-657
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e50ea45d0cfaefc6380f75152073ea1
https://doi.org/10.7153/oam-2021-15-43
https://doi.org/10.7153/oam-2021-15-43
Publikováno v:
Linear Algebra and its Applications. 540:244-256
The paper concerns generalizations of the Bottcher–Wenzel inequality to contracted products of tensors. We show that the best constant in the inequality is as expected in some cases and present an example where the best constant is larger than expe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::affe7253e594d13e889d89f876140ead
https://doi.org/10.1016/j.laa.2017.11.033
https://doi.org/10.1016/j.laa.2017.11.033
Publikováno v:
East Asian Journal on Applied Mathematics. 7:827-836
Some convergence bounds of the minimal residual (MINRES) method are studied when the method is applied for solving Hermitian indefinite linear systems. The matrices of these linear systems are supposed to have some properties so that their spectra ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2815518c8d994bdf7354587cd37c01f
https://doi.org/10.4208/eajam.181016.300517h
https://doi.org/10.4208/eajam.181016.300517h
Publikováno v:
Journal of Scientific Computing. 74:412-425
Tensor systems involving tensor-vector products (or polynomial systems) are considered. We solve these tensor systems, especially focusing on symmetric $${\mathcal {M}}$$ -tensor systems, by some tensor methods. A new tensor method is proposed based
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::caeeba4a5d5dfd8cd23cd7ac9a6d811d
https://doi.org/10.1007/s10915-017-0444-5
https://doi.org/10.1007/s10915-017-0444-5
Publikováno v:
Linear and Multilinear Algebra. 65:1894-1904
A new definition for circulant tensors is given, which is a generalization of the one for circulant matrices. Furthermore, we define the generalized circulant tensors which can be diagonalized by the Fourier matrix F and/or . We also consider solving
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2590fcfadad93c2a9630986c57c68af
https://doi.org/10.1080/03081087.2016.1265060
https://doi.org/10.1080/03081087.2016.1265060
Publikováno v:
Journal of the Franklin Institute. 353:1186-1205
In this paper, we give the sensitivity analysis for an implicit Bunch form of the symplectic QR factorization. In particular, we present some new first order normwise perturbation bounds for R - and Q -factors and propose the normwise condition numbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97d3d388d154af6763714d7bc0ddbf51
https://doi.org/10.1016/j.jfranklin.2015.03.038
https://doi.org/10.1016/j.jfranklin.2015.03.038
Autor:
Wen Li, Ze-jia Xie
Publikováno v:
Linear and Multilinear Algebra. 63:222-234
The explicit expressions for the condition numbers and the first-order perturbation bounds for both factors R and S of the SR decomposition are presented by using the operator. The new first-order bounds are sharper than those previous results given
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54eb6b981fba32588233851a03a59a80
https://doi.org/10.1080/03081087.2013.860595
https://doi.org/10.1080/03081087.2013.860595
Publikováno v:
The Electronic Journal of Linear Algebra. 26
Three different kinds of condition numbers: normwise, mixed and componentwise, are discussed for the canonical generalized polar decomposition (CGPD) of real matrices. The technique used herein is different from the ones in previous literatures of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f19f2ceed82401e55cccc022c3207bd
https://doi.org/10.13001/1081-3810.1691
https://doi.org/10.13001/1081-3810.1691