Geodesic
Matrix inequalities by means of embedding
The electronic journal of linear algebra, Tome 11 (2004), pp. 66-77.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this expository study some basic matrix inequalities obtained by embedding bilinear forms hAx, xi and hAx, yi into 2 * 2 matrices are investigated. Many classical inequalities are reproved or refined by the proposed unified approach. Some inequalities involving the matrix absolute value |A| are given. A new proof of Ky Fan's singular value majorization theorem is presented.
Classification : 15A42, 15A63, 47B15
Keywords: eigenvalue, majorization, matrix absolute value, matrix inequality, matrix norm, normal matrix, positive semidefinite matrix, singular value, spread, wielandt inequality 
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     title = {Matrix inequalities by means of embedding},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2004__11__a15/}
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Lei, Tiangang; Woo, Chingwah; Zhang, Fuzhen. Matrix inequalities by means of embedding. The electronic journal of linear algebra, Tome 11 (2004), pp. 66-77. http://geodesic.mathdoc.fr/item/ELA_2004__11__a15/