TY - JOUR
T1 - The Ando-Li-Mathias geometric mean and infinite product of hollow matrices
AU - Lim, Yongdo
N1 - Publisher Copyright:
© 2022 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2023
Y1 - 2023
N2 - In this paper we present a class of convergent infinite products (Formula presented.) of (Formula presented.) hollow matrices of the form (Formula presented.) These sequences of hollow matrices are obtained from the Ando-Li-Mathias matrix geometric mean of (Formula presented.) positive definite matrices. We further provide a three dimensional analytic manifold and an analytic self-map realizing such sequences.
AB - In this paper we present a class of convergent infinite products (Formula presented.) of (Formula presented.) hollow matrices of the form (Formula presented.) These sequences of hollow matrices are obtained from the Ando-Li-Mathias matrix geometric mean of (Formula presented.) positive definite matrices. We further provide a three dimensional analytic manifold and an analytic self-map realizing such sequences.
KW - Ando-Li-Mathias geometric mean
KW - infinite product of matrices
KW - Positive definite matrix
KW - primitive hollow matrix
UR - https://www.scopus.com/pages/publications/85125195935
U2 - 10.1080/03081087.2022.2036671
DO - 10.1080/03081087.2022.2036671
M3 - Article
AN - SCOPUS:85125195935
SN - 0308-1087
VL - 71
SP - 552
EP - 568
JO - Linear and Multilinear Algebra
JF - Linear and Multilinear Algebra
IS - 4
ER -