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Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices
Joint Authors
Pickmann, Hubert
Egaña, Juan C.
Arela-Pérez, S.
Soto Montero, Ricardo L.
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider the following inverse extreme eigenvalue problem: given the real numbers {λ1j,λjj}j=1n and the real vector x(n)=x1,x2,…,xn, to construct a nonsymmetric tridiagonal matrix and a nonsymmetric arrow matrix such that {λ1j,λjj}j=1n are the minimal and the maximal eigenvalues of each one of their leading principal submatrices, and x(n),λn(n) is an eigenpair of the matrix.
We give sufficient conditions for the existence of such matrices.
Moreover our results generate an algorithmic procedure to compute a unique solution matrix.
American Psychological Association (APA)
Pickmann, Hubert& Arela-Pérez, S.& Egaña, Juan C.& Soto Montero, Ricardo L.. 2019. Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1195137
Modern Language Association (MLA)
Pickmann, Hubert…[et al.]. Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices. Mathematical Problems in Engineering No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1195137
American Medical Association (AMA)
Pickmann, Hubert& Arela-Pérez, S.& Egaña, Juan C.& Soto Montero, Ricardo L.. Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1195137
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195137