Criterion of positive definiteness of matrices and solution of inverse problem for system of linear equations
type: Item
instance of: scholarly article
title: Criterion of positive definiteness of matrices and solution of inverse problem for system of linear equations
zbMATH Open document ID: 0672.15007
author: Zhong Guo
published in: Chinese Science Bulletin
publication date: 1989-01-01T00:00:00Z
review text: The author presents \(O(n^ 3)\) algorithms for solving the following problems: (a) check a given \(n\times n\) real matrix A (not necessarily symmetric) for positive definiteness; (b) given real n-vectors x and b such that \(x^ Tb>0\), find a real symmetric matrix A such that \(Ax=b.\)
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A06
zbMATH DE Number: 4099487
zbMATH Keywords: positive definite matrices
zbMATH Keywords: inverse problem
zbMATH Keywords: algorithms
reviewed by: László Mihályffy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4099487