Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Dale D. Olesky"'
Publikováno v:
Linear Algebra and its Applications. 632:61-78
The stability and inertia of sign pattern matrices with entries in { + , − , 0 } associated with dynamical systems of second-order ordinary differential equations x ¨ = A x ˙ + B x are studied, where A and B are real matrices of order n. An equiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26ae156975f9054e3c49fd0d320f0804
https://doi.org/10.1016/j.laa.2021.08.030
https://doi.org/10.1016/j.laa.2021.08.030
Publikováno v:
The Electronic Journal of Linear Algebra. 36:561-569
Two subsets of the potentially stable sign patterns of order $n$ have recently been defined, namely, those that allow sets of (refined) inertias $\mathbb{S}_n$ and $\mathbb{H}_n$. For $n=2$ and $n=3$, it is proved that a sign pattern is potentially s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4dfe32139d7e6d20b81a8b4f1e803edf
https://doi.org/10.13001/ela.2020.4929
https://doi.org/10.13001/ela.2020.4929
Publikováno v:
Linear and Multilinear Algebra. 68:2044-2068
Given a real symmetric n×n matrix, the sepr-sequence t1⋯tn records information about the existence of principal minors of each order that are positive, negative, or zero. This paper extends the not...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd5c34be8efcb959a6e0024c5e0526b0
https://doi.org/10.1080/03081087.2019.1570067
https://doi.org/10.1080/03081087.2019.1570067
Publikováno v:
Linear Algebra and its Applications. 546:67-85
A sign pattern requires a unique inertia if every real matrix in the sign pattern class has the same inertia. Several sufficient or necessary conditions are given for a sign pattern to require a unique inertia. It is proved that a sign pattern requir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5daf5e6b4d1a89ca2ec8ed0ee909dd0e
https://doi.org/10.1016/j.laa.2018.01.031
https://doi.org/10.1016/j.laa.2018.01.031
Publikováno v:
The Electronic Journal of Linear Algebra. 34:343-355
Motivated by the possible onset of instability in dynamical systems associated with a zero eigenvalue, sets of inertias $\sn_n$ and $\SN{n}$ for sign and zero-nonzero patterns, respectively, are introduced. For an $n\times n$ sign pattern $\mc{A}$ th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::994a86686f5a879fe078490699e179da
https://doi.org/10.13001/1081-3810.3647
https://doi.org/10.13001/1081-3810.3647
Publikováno v:
Linear Algebra and its Applications. 516:243-263
A set H n ⁎ of refined inertias for zero–nonzero patterns is introduced that is analogous to the set H n previously considered for sign patterns. For n = 3 and 4, a complete characterization of irreducible zero–nonzero patterns that allow or re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec63294f2256466285b8af979c97486c
https://doi.org/10.1016/j.laa.2016.11.040
https://doi.org/10.1016/j.laa.2016.11.040
Publikováno v:
Special Matrices, Vol 7, Iss 1, Pp 327-342 (2019)
We study the sets of inertias achieved by Laplacian matrices of weighted signed graphs. First we characterize signed graphs with a unique Laplacian inertia. Then we show that there is a sufficiently small perturbation of the nonzero weights on the ed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03df4f43505bb1ca63b8ffcb08adae42
Publikováno v:
Linear Algebra and its Applications. 507:322-343
The 18 non-isomorphic strongly connected orientations of the Petersen graph give rise to matrix patterns in which nonzero entries can be taken to be strictly positive, of arbitrary sign, or of fixed sign. The allowed refined inertias, in which the nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38f6eff2636086b236a72d2471faabe4
https://doi.org/10.1016/j.laa.2016.05.013
https://doi.org/10.1016/j.laa.2016.05.013
We develop a matrix bordering technique that can be applied to an irreducible spectrally arbitrary sign pattern to construct a higher order spectrally arbitrary sign pattern. This technique generalizes a recently developed triangle extension method.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7874b1dcb7ebd2f8b7a497dfeba7d639
Publikováno v:
Linear Algebra and its Applications. 450:293-300
For a real n × n matrix A having n + ( n − ) eigenvalues with positive (resp. negative) real part, n z zero eigenvalues and 2 n p nonzero pure imaginary eigenvalues, the refined inertia of A is ri ( A ) = ( n + , n − , n z , 2 n p ) . When n = 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ced8c61ee2ed52b958d37e7c989aa9e5
https://doi.org/10.1016/j.laa.2014.03.007
https://doi.org/10.1016/j.laa.2014.03.007