학술논문
Partial determinant inequalities for positive semidefinite block matrices.
Document Type
Journal
Author
Li, Yongtao (PRC-HUN-SM) AMS Author Profile; Lin, Xiqin (PRC-SDTBU-SMI) AMS Author Profile; Feng, Lihua (PRC-CSU-SMS) AMS Author Profile
Source
Subject
15 Linear and multilinear algebra; matrix theory -- 15A Basic linear algebra
15A60Norms of matrices, numerical range, applications of functional analysis to matrix theory
15Linear and multilinear algebra; matrix theory -- 15B Special matrices
15B48Positive matrices and their generalizations; cones of matrices
47Operator theory -- 47B Special classes of linear operators
47B65Positive operators and order-bounded operators
15A60
15
15B48
47
47B65
Language
English
Abstract
Summary: ``We present some inequalities related to partial determinants for positive semidefinite block matrices. Firstly, we introduce the definition of partial matrix functions corresponding to partial traces and partial determinants, and then we provide a unified extension of a recent result of Lin [10], Chang-Paksoy-Zhang [4] and Lin-Sra [12]. Secondly, we give a new generalization of a result of Paksoy-Turkmen-Zhang [15]. Finally, we conclude with an interesting conjecture involving partial determinants.''