Old and New about Positive Definite Matrices

Authors: Miroslav Fiedler
Publication year: 2015
Publication type: Článek v odborném periodiku
Periodical: Linear Algebra and Its Applications
Projects: Nanostructures with transition metals: Towards ab-initio material design
Bibliographic citation: FIEDLER, Miroslav. Old and New about Positive Definite Matrices. Linear Algebra and Its Applications. 2015, 484(1 November), 496-503. ISSN 0024-3795. E-ISSN 1873-1856
Dostupné z: doi:10.1016/j.laa.2015.07.016
DOI: 10.1016/j.laa.2015.07.016
ID: 446382

Abstract

The first part of the paper recalls and enlarges some results which appeared in the author’s paper published 50 years ago, characterizing the relationship between the diagonal entries of mutually inverse positive definite matrices. In the second part, sign patterns of positive definite matrices which are also inverse positive are studied.