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Introduction to matrix analysis and applications / Fumio Hiai and Denes Petz.

By: Contributor(s): Material type: TextTextSeries: Texts and readings in mathematics ; 70Publication details: New Delhi : Hindustan Book Agency, c2014.Description: viii, 332 pISBN:
  • 9789380250601
Subject(s): DDC classification:
  • 512.9434 23 H623
Contents:
1. Fundamentals of operators and matrices -- 2. Mappings and algebras -- 3. Functional calculus and derivation -- 4. Matrix monotone functions and convexity -- 5. Matrix means and inequalities -- 6. Majorization and singular values -- 7. Some applications-- Bibliography-- Index.
Summary: This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.9434 H623 (Browse shelf(Opens below)) Available C26365
Total holds: 0

Includes bibliographical references and index.

1. Fundamentals of operators and matrices --
2. Mappings and algebras --
3. Functional calculus and derivation --
4. Matrix monotone functions and convexity --
5. Matrix means and inequalities --
6. Majorization and singular values --
7. Some applications--
Bibliography--
Index.

This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.

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