M. S. Moslehian is a Professor of Mathematics at the Ferdowsi University of Mashhad, a member of the academy of sciences of Iran, and the President of Iran. Math. Soc. His research concerns operator theory and matrix analysis. He was a Senior Associate in ICTP (Italy) and a visiting professor at several universities around the world. He is the editor-in-chief of the journals "Banach J. Math. Anal.", "Ann. Funct. Anal.", and "Adv. Oper. Theory" being published by Birkhäuser/Springer.

• 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.

M. S. Moslehian is a Professor of Mathematics at the Ferdowsi University of Mashhad, a member of the academy of sciences of Iran, and the President of Iran. Math. Soc. His research concerns operator theory and matrix analysis. He was a Senior Associate in ICTP (Italy) and a visiting professor at several universities around the world. He is the editor-in-chief of the journals "Banach J. Math. Anal.", "Ann. Funct. Anal.", and "Adv. Oper. Theory" being published by Birkhäuser/Springer.

• 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.

M. S. Moslehian is a Professor of Mathematics at the Ferdowsi University of Mashhad, a member of the academy of sciences of Iran, and the President of Iran. Math. Soc. His research concerns operator theory and matrix analysis. He was a Senior Associate in ICTP (Italy) and a visiting professor at several universities around the world. He is the editor-in-chief of the journals "Banach J. Math. Anal.", "Ann. Funct. Anal.", and "Adv. Oper. Theory" being published by Birkhäuser/Springer.

• 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.