有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse  with applications)

WUZhongcheng(吴中成); HENingxin(贺宁馨)

doi:10.3785/j.issn.1008-9497.2019.04.002

Zhejiang Daxue xuebao. Lixue ban (Jul 2019)

有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse with applications)

WUZhongcheng(吴中成),
HENingxin(贺宁馨)

Affiliations

WUZhongcheng(吴中成): ORCiD; ( 1.School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China)
HENingxin(贺宁馨): ( 2.School of Mathematics Science, Guizhou Normal University, Guiyang 550001, China)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2019.04.002
Journal volume & issue: Vol. 46, no. 4
pp. 395 – 398

Abstract

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In this paper, firstly, we establish the inertia formulae for some matrix expressions related to the generalized inverse . Then, as applications, based on the derived inertia formulae, we study the definiteness of some matrices. Finally, necessary and sufficient conditions for some matrices to be positive definite, positive semidefinite, negative definite and negative semi-definite are given, respectively.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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