Rational Criteria for Diagonalizability of Real Matrices

Autor:	João Ferreira Alves
Rok vydání:	2020
Předmět:	Moment (mathematics) Matrix (mathematics) 2 × 2 real matrices Pure mathematics Algebra and Number Theory Minimal polynomial (linear algebra) Linear algebra Moment matrix Eigenvalues and eigenvectors Mathematics Gramian matrix
Zdroj:	The Electronic Journal of Linear Algebra. 36:664-677
ISSN:	1081-3810
DOI:	10.13001/ela.2020.5373
Popis:	The purpose of this note is to obtain rational criteria for diagonalizability of real matrices through the analysis of the moment and Gram matrices associated to a given real matrix. These concepts were introduced by Horn and Lopatin in [R.A. Horn and A.K. Lopatin. The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability. Linear Algebra and its Applications, 299:153-163, 1999] for complex matrices. However, when the matrix is real, it is possible to combine their results with the Borchardt-Jacobi Theorem, in order to get new and noteworthy rational criteria.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f45628de68d7187b363e0f67b7cb1852 https://doi.org/10.13001/ela.2020.5373 Zobrazit plný text záznamu