Pregled bibliografske jedinice broj: 1218463
On the Perron-Frobenius Theory of Mv-matrices and equivalent properties to eventually exponentially nonnegative matrices
On the Perron-Frobenius Theory of Mv-matrices and equivalent properties to eventually exponentially nonnegative matrices // Electronic Journal of Linear Algebra, 35 (2019), 424-440 doi:10.13001/ela.2019.5241 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1218463 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the Perron-Frobenius Theory of Mv-matrices and
equivalent properties to eventually exponentially
nonnegative matrices
Autori
Chaysri, Thaniporn ; Noutsos, Dimitrios
Izvornik
Electronic Journal of Linear Algebra (1081-3810) 35
(2019);
424-440
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
M−matrices ; Mv−matrices ; Eventually exponentially nonnegative matrices ; Perron-Frobenius theory
Sažetak
${;M_v};-$matrix is a matrix of the form $A = sI-B$, where $ 0 \le \rho (B) \le s$ and $B$ is an eventually nonnegative matrix. In this paper, $M_v-$matrices concerning the Perron-Frobenius theory are studied. Specifically, sufficient and necessary conditions for an $M_v-$matrix to have positive left and right eigenvectors corresponding to its eigenvalue with smallest real part without considering or not if $index_{;0}; B \leq 1$ are stated and proven. Moreover, analogous conditions for eventually nonnegative matrices or $M_v-$matrices to have all the non Perron eigenvectors or generalized eigenvectors not being nonnegative are studied. Then, equivalent properties of eventually exponentially nonnegative matrices and $M_v-$matrices are presented. Various numerical examples are given to support our theoretical findings.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split
Profili:
Thaniporn Chaysri
(autor)
