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young inequalities
Matrix Inequalities Format Paperback Subject Mathematics / Algebra / Linear ISBN/SKU 3540437983 Author Xingzhi Zhan Publisher Springer Verlag Publish Date October 2002 Price $34.95
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.
Contents
1. Inequalities in the Lowner Partial Order
1.1 The Lowner -Heinz inequality
1.2 Maps on Matrix Spaces
1.3 Inequalities for Matrix Powers
1.4 Block Matrix Techniques
2.Majorization and Eigenvalues
2.1 Majorizations
2.2 Eigenvalues of Hadamard Products
3. Singular Values
3.1 Matrix Young Inequalities
3.2 Singular Values of Hadamard Products
3.3 Differences of Positive Semi-definite Matrices
3.4 Matrix Cartesian Decompositions
3.5 Singular Values and Matrix Entries
4. Norm Inequalities
4.1 Operator Monotone Functions
4.2 Cartesian Decompositions Revisited
4.3 Arithmetic-Geometric Mean Inequalities
4.4 Inequalities of H ¨older and Minkowski Types
4.5 Permutations of Matrix Entries
4.6 The Numerical Radius
4.7 Norm Estimates of Banded Matrices
5.Solution of the van der Waerden Conjecture
Now the file is correct.
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makswell
Matrix Inequalities Format Paperback Subject Mathematics / Algebra / Linear ISBN/SKU 3540437983 Author Xingzhi Zhan Publisher Springer Verlag Publish Date October 2002 Price $34.95
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.
Contents
1. Inequalities in the Lowner Partial Order
1.1 The Lowner -Heinz inequality
1.2 Maps on Matrix Spaces
1.3 Inequalities for Matrix Powers
1.4 Block Matrix Techniques
2.Majorization and Eigenvalues
2.1 Majorizations
2.2 Eigenvalues of Hadamard Products
3. Singular Values
3.1 Matrix Young Inequalities
3.2 Singular Values of Hadamard Products
3.3 Differences of Positive Semi-definite Matrices
3.4 Matrix Cartesian Decompositions
3.5 Singular Values and Matrix Entries
4. Norm Inequalities
4.1 Operator Monotone Functions
4.2 Cartesian Decompositions Revisited
4.3 Arithmetic-Geometric Mean Inequalities
4.4 Inequalities of H ¨older and Minkowski Types
4.5 Permutations of Matrix Entries
4.6 The Numerical Radius
4.7 Norm Estimates of Banded Matrices
5.Solution of the van der Waerden Conjecture
Now the file is correct.
--
makswell