The Inverse Problem for Generalized Contraharmonic Means

In this paper we introduce the generalized contraharmanic mean associated to a Kubo–Ando mean as where is the dual mean of and X , Y are positive definite matrices. We show that for a symmetric Kubo–Ando mean such as and for any positive definite matrices the inverse problem has a positive solution...

Full description

Bibliographic Details

Published in:	Russian mathematics Vol. 66; no. 7; pp. 1 - 6
Main Authors:	Dinh, T. H., Le, C. T., Vo, B. K.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-07-2022 Springer Nature B.V
Subjects:	Inverse problems Mathematical analysis Mathematics Mathematics and Statistics Matrices (mathematics) inverse problem Brouwer’s fixed point theorem generalized contraharmonic mean Kubo–Ando means non-linear matrix equations geometric mean
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!