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001472255 001__ 1472255
001472255 003__ OCoLC
001472255 005__ 20230908003403.0
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001472255 008__ 230803s2023\\\\sz\a\\\\o\\\\\000\0\eng\d
001472255 019__ $$a1392044114
001472255 020__ $$a9783031253867$$q(electronic bk.)
001472255 020__ $$a3031253868$$q(electronic bk.)
001472255 020__ $$z9783031253850$$q(print)
001472255 020__ $$z303125385X
001472255 0247_ $$a10.1007/978-3-031-25386-7$$2doi
001472255 035__ $$aSP(OCoLC)1392090468
001472255 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP
001472255 049__ $$aISEA
001472255 050_4 $$aQA188
001472255 08204 $$a512.9/434$$223/eng/20230803
001472255 24500 $$aMatrix and operator equations and applications /$$cMohammad Sal Moslehian, editor.
001472255 264_1 $$aCham, Switzerland :$$bSpringer,$$c2023.
001472255 300__ $$a1 online resource (x, 765 pages) :$$billustrations.
001472255 336__ $$atext$$btxt$$2rdacontent
001472255 337__ $$acomputer$$bc$$2rdamedia
001472255 338__ $$aonline resource$$bcr$$2rdacarrier
001472255 4901_ $$aMathematics online first collections,$$x2730-6348
001472255 5050_ $$aPreface -- Part I Matrix Equations -- ­Chapter 1. Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations -- Chapter 2. Quaternion Two-Sided Matrix Equations with Specific Constraints -- Chapter 3. Matrices over Quaternion Algebras -- Chapter 4. Direct Methods of solving quaternion matrix equation based on STP -- Chapter 5. Geometric Mean and Matrix Quadratic Equations -- Chapter 6. Yang-Baxter-like Matrix Equation: A Road Less Taken -- Chapter 7. Hermitian Polynomial Matrix Equations and Applications -- Chapter 8. Inequalities for Matrix Exponentials and Their Extensions to Lie Groups -- Chapter 9. Numerical Ranges of Operators and Matrices -- Part II Operator Equations -- Chapter 10. Stability and Controllability of Operator Differential Equations -- Chapter 11. On Singular Integral Operators with Shifts -- Chapter 12. Berezin number and norm inequalities for operators in Hilbert and semi-Hilbert spaces -- Chapter 13. Norm Equalities for Derivations -- Chapter 14. On Semicircular Elements Induced by Connected Finite Graphs -- Chapter 15. Hilbert C*-module for analyzing structured data -- Chapter 16. Iterative Processes and Integral Equations of the Second Kind -- Chapter 17. The Daugavet equation: linear and non-linear recent results.
001472255 506__ $$aAccess limited to authorized users.
001472255 520__ $$aThis 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 systematic and self-contained fashion. Some powerful methods have been used to investigate some significant equations in functional analysis, operator theory, matrix analysis, and numerous subjects in the last decades. The book is divided into two parts: (I) Matrix Equations and (II) Operator Equations. In the first part, the state-of-the-art of systems of matrix equations is given and generalized inverses are used to find their solutions. The semi-tensor product of matrices is used to solve quaternion matrix equations. The contents of some chapters are related to the relationship between matrix inequalities, matrix means, numerical range, and matrix equations. In addition, quaternion algebras and their applications are employed in solving some famous matrix equations like Sylvester, Stein, and Lyapunov equations. A chapter devoted to studying Hermitian polynomial matrix equations, which frequently arise from linear-quadratic control problems. Moreover, some classical and recently discovered inequalities for matrix exponentials are reviewed. In the second part, the latest developments in solving several equations appearing in modern operator theory are demonstrated. These are of interest to a wide audience of pure and applied mathematicians. For example, the Daugavet equation in the linear and nonlinear setting, iterative processes and Volterra-Fredholm integral equations, semicircular elements induced by connected finite graphs, free probability, singular integral operators with shifts, and operator differential equations closely related to the properties of the coefficient operators in some equations are discussed. The chapters give a comprehensive account of their subjects. The exhibited chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.
001472255 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 31, 2023).
001472255 650_0 $$aMatrices.
001472255 650_0 $$aOperator equations.
001472255 655_0 $$aElectronic books.
001472255 7001_ $$aMoslehian, Mohammad Sal,$$eeditor.$$0(orcid)0000-0001-7905-528X$$1https://orcid.org/0000-0001-7905-528X
001472255 77608 $$iPrint version: $$z303125385X$$z9783031253850$$w(OCoLC)1358748265
001472255 830_0 $$aMathematics online first collections,$$x2730-6348
001472255 852__ $$bebk
001472255 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-25386-7$$zOnline Access$$91397441.1
001472255 909CO $$ooai:library.usi.edu:1472255$$pGLOBAL_SET
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001472255 983__ $$aOnline
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