Matrix and Operator Equations and Applications

This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systema...

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Bibliographic Details
Other Authors: Moslehian, Mohammad Sal (Editor)
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2023, 2023
Edition:1st ed. 2023
Series:Mathematics Online First Collections
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Part I Matrix Equations
  • ­Chapter 1. Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations
  • Chapter 2. Quaternion Two-Sided Matrix Equations with Specific Constraints
  • Chapter 3. Matrices over Quaternion Algebras
  • Chapter 4. Direct Methods of solving quaternion matrix equation based on STP
  • Chapter 5. Geometric Mean and Matrix Quadratic Equations
  • Chapter 6. Yang–Baxter-like Matrix Equation: A Road Less Taken
  • Chapter 7. Hermitian Polynomial Matrix Equations and Applications
  • Chapter 8. Inequalities for Matrix Exponentials and Their Extensions to Lie Groups
  • Chapter 9. Numerical Ranges of Operators and Matrices
  • Part II Operator Equations
  • Chapter 10. Stability and Controllability of Operator Differential Equations
  • Chapter 11. On Singular Integral Operators with Shifts
  • Chapter 12. Berezin number and norm inequalities for operators in Hilbert and semi-Hilbert spaces
  • Chapter 13. Norm Equalities for Derivations
  • Chapter 14. On Semicircular Elements Induced by Connected Finite Graphs
  • Chapter 15. Hilbert C*-module for analyzing structured data
  • Chapter 16. Iterative Processes and Integral Equations of the Second Kind
  • Chapter 17. The Daugavet equation: linear and non-linear recent results