Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Robert E. Hartwig"'
Publikováno v:
The Electronic Journal of Linear Algebra. 34:514-525
New expressions are given for the Moore-Penrose inverse of a product $AB$ of two complex matrices. Furthermore, an expression for $(AB)\dg - B\dg A\dg$ for the case where $A$ or $B$ is of full rank is provided. Necessary and sufficient conditions for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::220286a617ae50206172210bc385c782
https://doi.org/10.13001/1081-3810.3365
https://doi.org/10.13001/1081-3810.3365
Autor:
Robert E. Hartwig, Pedro Patrício
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We shall derive necessary and sufficient conditions for the nivellateur to have a group inverse over an algebraically closed field. We then extend these results to arbitrary fields.
Partially supported by FCT-'Fundacao para a Ciencia e a Tecnolo
Partially supported by FCT-'Fundacao para a Ciencia e a Tecnolo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b377fe2531f196014e571ca00eac11ab
https://doi.org/10.1080/03081087.2017.1397092
https://doi.org/10.1080/03081087.2017.1397092
Autor:
Pedro Patrício, Robert E. Hartwig
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We shall use the minus partial order combined with Pierce’s decomposition to derive the class of outer inverses for idempotents, units and group invertible elements. Subsequently we show, for matrices over a field F, that the triplet BA^ C is invar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::837650e7e1551f55e8ae5cabd5c95322
Autor:
Pedro Patrício, Robert E. Hartwig
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
In this paper, we examine the question of regularity of sums of special elements that appear in the study of orthogonality and invertibility.
FEDER Funds through "Programa Operacional Factores de Competitividade - COMPETE'' and by Portuguese Fun
FEDER Funds through "Programa Operacional Factores de Competitividade - COMPETE'' and by Portuguese Fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::943bc92bfed7247d8d37c0f3c1e48ffb
https://doi.org/10.1080/03081087.2013.860592
https://doi.org/10.1080/03081087.2013.860592
Autor:
Robert E. Hartwig, Xuzhou Chen
Publikováno v:
American Journal of Computational Mathematics. :63-71
For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence N N D A is investigated. As a special case, necessary and sufficient conditions are given for the convergence of NN D T , where T is triangular. These c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5448455f2ff5651a7740956e1f3ad8d7
https://doi.org/10.4236/ajcm.2011.12007
https://doi.org/10.4236/ajcm.2011.12007
Autor:
Xuzhou Chen, Robert E. Hartwig
Publikováno v:
Linear and Multilinear Algebra. 54:329-341
The convergence behavior of the Picard iteration Xk+1=AXk+B and the weighted case Yk=Xk/bk is investigated. It is shown that the convergence of both these iterations is related to the so-called effective spectrum of A with respect to some matrix. As
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06121b53543612a56c86b65c03a64d28
https://doi.org/10.1080/03081080500209703
https://doi.org/10.1080/03081080500209703
Autor:
Robert E. Hartwig
Publikováno v:
The American Mathematical Monthly. 113:250-256
(2006). Note on a Linear Difference Equation. The American Mathematical Monthly: Vol. 113, No. 3, pp. 250-256.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d8d5f973101cc35306c34e5a5618433
https://doi.org/10.1080/00029890.2006.11920302
https://doi.org/10.1080/00029890.2006.11920302
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
A class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to a sum x + y, which is an orthogonal Pierce decomposition. This is then used to show that a lower triangular matrix, with a regular diagonal is equivale
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c349f8080e98e9e589f05a02128c0549
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 27:757-771
Two representations for the Drazin inverse of a $2\times2$ block matrix $M=[{A \atop C}\;{B \atop D}]$, where $A$ and $D$ are square matrices, in terms of the Drazin inverses of $A$ and $D$ have been recently developed under the assumptions that $C(I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7917224436c8fa8d09bcc00e745eb911
https://doi.org/10.1137/040606685
https://doi.org/10.1137/040606685
Autor:
Robert E. Hartwig, Xuzhou Chen
Publikováno v:
Numerical Linear Algebra with Applications. 12:895-910
The semi-iterative method (SIM) is applied to the hyper-power (HP) iteration, and necessary and sufficient conditions are given for the convergence of the semi-iterative–hyper-power (SIM–HP) iteration. The root convergence rate is computed for bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1dc85f88b028edffec96ad9e8004e29
https://doi.org/10.1002/nla.429
https://doi.org/10.1002/nla.429