Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Michael J. Tsatsomeros"'
Publikováno v:
Linear and Multilinear Algebra. 70:6947-6964
A real square matrix A is called a Q-matrix if the linear complementarity problem LCP(A,q) has a solution for all q∈Rn. This means that for every vector q, there exists a vector x≥0 such that y=Ax+...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fdd7d8174307361f01a006ed9c9f4559
https://doi.org/10.1080/03081087.2021.1975620
https://doi.org/10.1080/03081087.2021.1975620
Publikováno v:
Linear Algebra and its Applications. 602:46-56
N-matrices are real n × n matrices all of whose principal minors are negative. We provide (i) an O ( 2 n ) test to detect whether or not a given matrix is an N-matrix, and (ii) a characterization of N-matrices, leading to the recursive construction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::490f03c8fb7662e4874d3b255d15aa99
https://doi.org/10.1016/j.laa.2020.04.028
https://doi.org/10.1016/j.laa.2020.04.028
Autor:
Enzo Wendler, P. Sushmitha, Michael J. Tsatsomeros, Judi J. McDonald, R. Nandi, K. C. Sivakumar, Megan Wendler
Publikováno v:
Special Matrices, Vol 8, Iss 1, Pp 186-203 (2020)
A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ed1eb9d9e2cf30d56511c3f5168e274
https://doaj.org/article/91e3b5fa5c024b12b0c1ddaae57aae0b
https://doaj.org/article/91e3b5fa5c024b12b0c1ddaae57aae0b
Autor:
Michael J. Tsatsomeros, Megan Wendler
Publikováno v:
Linear Algebra and its Applications. 578:207-224
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8152cb45d0ff197a066f3b2f11b978c
https://doi.org/10.1016/j.laa.2019.05.009
https://doi.org/10.1016/j.laa.2019.05.009
Publikováno v:
Linear and Multilinear Algebra. 69:224-232
P-matrices have positive principal minors and include many well-known matrix classes (positive definite, totally positive, M-matrices, etc.) How does one construct a generic P-matrix? Specifically,...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::daa7f38cb59600ed48ef5009f67aa13e
https://doi.org/10.1080/03081087.2019.1593311
https://doi.org/10.1080/03081087.2019.1593311
Autor:
Faith Zhang, Michael J. Tsatsomeros
Publikováno v:
Applied Mathematics and Computation. 416:126732
The role of rank one perturbations in transforming the eigenstructure of a matrix has long been considered in the context of applications, especially in linear control systems. Two cases are examined in this paper: First, we propose a practical metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9669e4ce31f59c7694fa755595a3b9b
https://doi.org/10.1016/j.amc.2021.126732
https://doi.org/10.1016/j.amc.2021.126732
Autor:
Ik-Pyo Kim, Michael J. Tsatsomeros
Publikováno v:
Discrete Mathematics. 341:691-700
As an inverse relation, involution with an invariant sequence plays a key role in combinatorics and features prominently in some of Shapiro’s open questions (Shapiro, 2001). In this paper, invariant sequences are used to provide answers to some of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::199b09ed593850851a59b80fe26fc3be
https://doi.org/10.1016/j.disc.2017.11.011
https://doi.org/10.1016/j.disc.2017.11.011
Publikováno v:
Linear Algebra and its Applications. 532:60-85
The envelope of a square complex matrix is a spectrum encompassing region in the complex plane. It is contained in and is akin to the numerical range in the sense that the envelope is obtained as an infinite intersection of unbounded regions contiguo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::012d9af09d1cfb00f308f36bb289907c
https://doi.org/10.1016/j.laa.2017.06.020
https://doi.org/10.1016/j.laa.2017.06.020
Publikováno v:
Positivity. 22:379-398
The semipositive cone of $$A\in \mathbb {R}^{m\times n}, K_A = \{x\ge 0\,:\, Ax\ge 0\}$$ , is considered mainly under the assumption that for some $$x\in K_A, Ax>0$$ , namely, that A is a semipositive matrix. The duality of $$K_A$$ is studied and it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a1aaac90223799777026c95fc35944f
https://doi.org/10.1007/s11117-017-0516-7
https://doi.org/10.1007/s11117-017-0516-7