Open AccessSOME MATRIX INEQUALITIES OF KY FAN TYPE
Author(s) -
B. Mond,
Josip Pečarić
Publication year - 1995
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.26.1995.4411
Subject(s) - mathematics , matrix (chemical analysis) , inequality , positive definite matrix , type (biology) , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , eigenvalues and eigenvectors , composite material , ecology , materials science , physics , quantum mechanics , biology
Oneofthewell-knowngeneraliztionsoftheKantorovichinequalitywas given by Ky Fan who established his results for one positive definite matrix but for several vectors. Here we give corresponding results for several matrices and vectors. As well, a number of related inequalities are established.