Matrix Inequalities

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The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.

Author(s): Xingzhi Zhan (auth.)
Series: Lecture Notes in Mathematics 1790
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2002

Language: English
Pages: 124
City: Berlin; New York
Tags: Linear and Multilinear Algebras, Matrix Theory; Operator Theory

1. Inequalities in the Löwner Partial Order....Pages 1-15
2. Majorization and Eigenvalues....Pages 17-25
3. Singular Values....Pages 27-54
4. Norm Inequalities....Pages 55-98
5. Solution of the van der Waerden Conjecture....Pages 99-109
References....Pages 110-114
Index....Pages 115-116