Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Ion Zaballa"'
Publikováno v:
Linear Algebra and its Applications. 624:214-246
Given a square matrix, F, the geometry of the set of control matrices G such that the linear time-invariant controllable system ( F , G ) has prescribed controllability or, equivalently, Brunovsky indices is investigated. This set is proved to be a d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4a360d8e421c699fb6b1b29bc576471
https://doi.org/10.1016/j.laa.2021.04.013
https://doi.org/10.1016/j.laa.2021.04.013
Publikováno v:
Linear Algebra and its Applications. 623:14-67
A complete theory of the relationship between the minimal bases and indices of rational matrices and those of their strong linearizations is presented. Such theory is based on establishing first the relationships between the minimal bases and indices
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4081e829a887be84269772325202b36c
https://doi.org/10.1016/j.laa.2021.01.014
https://doi.org/10.1016/j.laa.2021.01.014
Autor:
Ion Zaballa, Peter Lancaster
Publikováno v:
The Electronic Journal of Linear Algebra. 37:211-246
Many physical problems require the spectral analysis of quadratic matrix polynomials $M\lambda^2+D\lambda +K$, $\lambda \in \mathbb{C}$, with $n \times n$ Hermitian matrix coefficients, $M,\;D,\;K$. In this largely expository paper, we present and di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99f1376eac6e79e7042ef68f2fe47dce
https://doi.org/10.13001/ela.2021.5361
https://doi.org/10.13001/ela.2021.5361
Autor:
Ion Zaballa, Kenier Castillo
Publikováno v:
Addi. Archivo Digital para la Docencia y la Investigación
instname
instname
For an eigenvalue lambda(0) of a Hermitian matrix A, the formula of Thompson and McEnteggert gives an explicit expression of the adjugate of lambda I-0 - A, Adj(lambda I-0 - A), in terms of eigenvectors of Afor lambda(0) and all its eigenvalues. In t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a86032b2e90caa2def9207642a9cda82
http://hdl.handle.net/10810/55472
http://hdl.handle.net/10810/55472
Publikováno v:
Linear Algebra and its Applications. 513:1-32
A criterion is presented that characterizes when two matrix polynomials of any size, rank and degree have the same finite and infinite elementary divisors. This characterization inherits a coprimeness condition of the extended unimodular equivalence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff713199b9ea0d95547a538d3a7a733c
https://doi.org/10.1016/j.laa.2016.10.002
https://doi.org/10.1016/j.laa.2016.10.002
Publikováno v:
Applied Mathematics and Computation. 391:125672
Three criteria are given to characterize when two linear dynamical systems have the same spectral structure (same finite and infinite elementary divisors). They are allowed to have different orders or sizes and their leading coefficient may be singul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b7d51aacef78eea26590189d9aab099
https://doi.org/10.1016/j.amc.2020.125672
https://doi.org/10.1016/j.amc.2020.125672
Publikováno v:
Linear Algebra and its Applications. 507:1-31
The concept of coprimeness of matrices with elements in a field of fractions is introduced. We focus on the field of rational functions and define when two rational matrices are coprime with respect to different rings. The definition of coprimeness a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c615f6d0651c35ece33da8be21e9292
https://doi.org/10.1016/j.laa.2016.05.030
https://doi.org/10.1016/j.laa.2016.05.030
Publikováno v:
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Universidad Carlos III de Madrid (UC3M)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
This paper defines for the first time strong linearizations of arbitrary rational matrices, studies in depth properties and diferent characterizations of such linear matrix pencils, and develops infinitely many examples of strong linearizations that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ed5fd2a72dcee0657c4c76e10a80590
http://hdl.handle.net/10016/32196
http://hdl.handle.net/10016/32196
Publikováno v:
Operator Theory: Advances and Applications ISBN: 9783319724485
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d064e58670fd99df5f13beb3bc6b1fb
https://doi.org/10.1007/978-3-319-72449-2
https://doi.org/10.1007/978-3-319-72449-2
Autor:
Peter Lancaster, Ion Zaballa
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 35:254-278
The detailed spectral structure of symmetric, algebraic, quadratic eigenvalue problems has been developed recently. In this paper we take advantage of these canonical forms to provide a detailed analysis of inverse problems of the following form: con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0aafcd2b21042025980a7935506833d9
https://doi.org/10.1137/130905216
https://doi.org/10.1137/130905216