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Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
Autore Böttcher Albrecht
Edizione [1st ed. 1999.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Descrizione fisica 1 online resource (XI, 259 p.)
Disciplina 514
Collana Universitext
Soggetto topico Topology
Matrix theory
Algebra
Mathematical analysis
Analysis (Mathematics)
Linear and Multilinear Algebras, Matrix Theory
Analysis
ISBN 1-4612-1426-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Infinite Matrices -- 1.1 Boundedness and Invertibility -- 1.2 Laurent Matrices -- 1.3 Toeplitz Matrices -- 1.4 Hankel Matrices -- 1.5 Wiener-Hopf Factorization -- 1.6 Continuous Symbols -- 1.7 Locally Sectorial Symbols -- 1.8 Discontinuous Symbols -- 2 Finite Section Method and Stability -- 2.1 Approximation Methods -- 2.2 Continuous Symbols -- 2.3 Asymptotic Inverses -- 2.4 The Gohberg-Feldman Approach -- 2.5 Algebraization of Stability -- 2.6 Local Principles -- 2.7 Localization of Stability -- 3 Norms of Inverses and Pseudospectra -- 3.1C*-Algebras -- 3.2 Continuous Symbols -- 3.3 Piecewise Continuous Symbols -- 3.4 Norm of the Resolvent -- 3.5 Limits of Pseudospectra -- 3.6 Pseudospectra of Infinite Toeplitz Matrices -- 4 Moore-Penrose Inverses and Singular Values -- 4.1 Singular Values of Matrices -- 4.2 The Lowest Singular Value -- 4.3 The Splitting Phenomenon -- 4.4 Upper Singular Values -- 4.5 Moler’s Phenomenon -- 4.6 Limiting Sets of Singular Values -- 4.7 The Moore-Penrose Inverse -- 4.8 Asymptotic Moore-Penrose Inversion -- 4.9 Moore-Penrose Sequences -- 4.10 Exact Moore-Penrose Sequences -- 4.11 Regularization and Kato Numbers -- 5 Determinants and Eigenvalues -- 5.1 The Strong Szegö Limit Theorem -- 5.2 Ising Model and Onsager Formula -- 5.3 Second-Order Trace Formulas -- 5.4 The First Szegö Limit Theorem -- 5.5 Hermitian Toeplitz Matrices -- 5.6 The Avram-Parter Theorem -- 5.7 The Algebraic Approach to Trace Formulas -- 5.8 Toeplitz Band Matrices -- 5.9 Rational Symbols -- 5.10 Continuous Symbols -- 5.11 Fisher-Hartwig Determinants -- 5.12 Piecewise Continuous Symbols -- 6 Block Toeplitz Matrices -- 6.1 Infinite Matrices -- 6.2 Finite Section Method and Stability -- 6.3 Norms of Inverses and Pseudospectra -- 6.4 Distribution of Singular Values -- 6.5 Asymptotic Moore-Penrose Inversion -- 6.6 Trace Formulas -- 6.7 The Szegö-Widom Limit Theorem -- 6.8 Rational Matrix Symbols -- 6.9 Multilevel Toeplitz Matrices -- 7 Banach Space Phenomena -- 7.1 Boundedness -- 7.2 Fredholmness and Invertibility -- 7.3 Continuous Symbols -- 7.4 Piecewise Continuous Symbols -- 7.5 Loss of Symmetry -- References -- Symbol Index.
Record Nr. UNINA-9910828902203321
Böttcher Albrecht  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston
Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston
Autore Johnston Nathaniel
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (XVI, 482 p. 324 illus., 286 illus. in color.)
Disciplina 512.5
Soggetto topico Algebra
Algebras, Linear
Matrix theory
Àlgebra lineal
Matrius (Matemàtica)
Soggetto genere / forma Llibres electrònics
ISBN 9783030528119
3-030-52811-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1: Vectors and Geometry -- Chapter 2: Linear systems and Subspaces -- Chapter 3: Unraveling Matrices -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercises Solutions.
Record Nr. UNINA-9910483064203321
Johnston Nathaniel  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston
Introduction to linear and matrix algebra [[electronic resource] /] / Nathaniel Johnston
Autore Johnston Nathaniel
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (XVI, 482 p. 324 illus., 286 illus. in color.)
Disciplina 512.5
Soggetto topico Algebra
Algebras, Linear
Matrix theory
Àlgebra lineal
Matrius (Matemàtica)
Soggetto genere / forma Llibres electrònics
ISBN 9783030528119
3-030-52811-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1: Vectors and Geometry -- Chapter 2: Linear systems and Subspaces -- Chapter 3: Unraveling Matrices -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercises Solutions.
Record Nr. UNISA-996466404103316
Johnston Nathaniel  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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An introduction to linear ordinary differential equations using the impulsive response method and factorization [[electronic resource] /] / by Roberto Camporesi
An introduction to linear ordinary differential equations using the impulsive response method and factorization [[electronic resource] /] / by Roberto Camporesi
Autore Camporesi Roberto
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (VII, 120 p. 1 illus.)
Disciplina 512.56
Collana PoliTO Springer Series
Soggetto topico Differential equations
Calculus of variations
Matrix theory
Algebra
Ordinary Differential Equations
Calculus of Variations and Optimal Control; Optimization
Linear and Multilinear Algebras, Matrix Theory
ISBN 3-319-49667-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Introduction -- 2 The case of constant coefficients -- 3 The case of variable coefficients. - 4 Conclusions.
Record Nr. UNINA-9910155385303321
Camporesi Roberto  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to Mathematical Analysis [[electronic resource] /] / by Igor Kriz, Aleš Pultr
Introduction to Mathematical Analysis [[electronic resource] /] / by Igor Kriz, Aleš Pultr
Autore Kriz Igor
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2013
Descrizione fisica 1 online resource (517 p.)
Disciplina 515
Soggetto topico Functions of real variables
Matrix theory
Algebra
Measure theory
Functions of complex variables
Differential equations
Sequences (Mathematics)
Real Functions
Linear and Multilinear Algebras, Matrix Theory
Measure and Integration
Functions of a Complex Variable
Ordinary Differential Equations
Sequences, Series, Summability
ISBN 3-0348-0636-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Introduction -- Part 1. A Rigorous Approach to Advanced Calculus -- 1. Preliminaries -- 2. Metric and Topological Spaces I -- 3. Multivariable Differential Calculus -- 4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral -- 5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration -- 6. Systems of Ordinary Differential Equations -- 7. System of Linear Differential Equations -- 8. Line Integrals and Green's Theorem -- Part 2. Analysis and Geometry -- 9. An Introduction to Complex Analysis -- 10. Metric and Topological Spaces II -- 11. Multilinear Algebra -- 12. Smooth Manifolds, Differential Forms and Stokes' Theorem -- 13. Calculus of Variations and the Geodesic Equation -- 14. Tensor Calculus and Riemannian Geometry -- 15. Hilbert Spaces I: Definitions and Basic Properties -- 16. Hilbert Spaces II: Examples and Applications -- Appendix A. Linear Algebra I: Vector Spaces -- Appendix B. Linear Algebra II: More about Matrices -- Bibliography -- Index of Symbols -- Index.  .
Record Nr. UNINA-9910768190003321
Kriz Igor  
Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to Matrix Analysis and Applications [[electronic resource] /] / by Fumio Hiai, Dénes Petz
Introduction to Matrix Analysis and Applications [[electronic resource] /] / by Fumio Hiai, Dénes Petz
Autore Hiai Fumio
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (337 p.)
Disciplina 512.9434
Collana Universitext
Soggetto topico Matrix theory
Algebra
Linear and Multilinear Algebras, Matrix Theory
ISBN 3-319-04150-9
Classificazione 510
SK 220
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Fundamentals of operators and matrices -- Mappings and algebras -- Functional calculus and derivation -- Matrix monotone functions and convexity -- Matrix means and inequalities -- Majorization and singular values -- Some applications.
Record Nr. UNINA-9910300143003321
Hiai Fumio  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
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An Introduction to Tensors and Group Theory for Physicists [[electronic resource] /] / by Nadir Jeevanjee
An Introduction to Tensors and Group Theory for Physicists [[electronic resource] /] / by Nadir Jeevanjee
Autore Jeevanjee Nadir
Edizione [2nd ed. 2015.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015
Descrizione fisica 1 online resource (XVI, 305 p. 23 illus.)
Disciplina 515.63
Soggetto topico Mathematical physics
Physics
Matrix theory
Algebra
Applied mathematics
Engineering mathematics
Quantum physics
Mathematical Physics
Mathematical Methods in Physics
Linear and Multilinear Algebras, Matrix Theory
Applications of Mathematics
Quantum Physics
ISBN 3-319-14794-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I Linear Algebra and Tensors -- A Quick Introduction to Tensors.- Vector Spaces -- Tensors -- Part II Group Theory -- Groups, Lie Groups, and Lie Algebras.- Basic Representation Theory -- The Winger-Echart Theorem and Other Applications -- Appendix Complexifications of Real Lie Algebras and the Tensor Product Decomposition of sl(2,C)R.- References -- Index.
Record Nr. UNINA-9910299774703321
Jeevanjee Nadir  
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Inverse Problems and Applications [[electronic resource] /] / edited by Larisa Beilina
Inverse Problems and Applications [[electronic resource] /] / edited by Larisa Beilina
Edizione [1st ed. 2015.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (169 p.)
Disciplina 515.357
Collana Springer Proceedings in Mathematics & Statistics
Soggetto topico Matrix theory
Algebra
Operator theory
Numerical analysis
Linear and Multilinear Algebras, Matrix Theory
Operator Theory
Numerical Analysis
ISBN 3-319-12499-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto M.Yu. Kokurin and A. Bakushinsky, Interactively regularized Gauss-Newton methods under random noise -- L. Beilina, N.T. Thanh, M.V. Klibanov, and J.B. Malmberg, Methods of quantitative reconstruction of shapes and refractive indices from experimental data -- J.B. Malmberg, A posteriori error estimate in the Lagrangian setting for an inverse problem based on a new formulation of Maxwell's system -- E. Karchevskii, A. Spiridonov, and L. Beilina, Determination of permittivity from propagation constant measurements in optical fibers -- L. Angermann, Yu.V. Shestopalov, and V.V. Yatsyk, Eigenmodes of linearised problems of scattering and generation of oscillations on cubically polarisable layers -- S. Soltani, R. Andersson, and B. Andersson, Time resolution in transient kinetics -- L. Beilina and A. Eriksson, Reconstruction of dielectric constants in a cylindrical waveguide -- L. Beilina and I. Gainova, Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy -- L. Beilina and E. Karchevskii, The layer-stripping algorithm for reconstruction of dielectrics in an optical fiber -- L. Beilina, M. Cristofol, and K. Niinimaki, Simultaneous reconstruction of Maxwell's coefficients from backscattering data.
Record Nr. UNINA-9910299773203321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Iterative Solution of Large Sparse Systems of Equations [[electronic resource] /] / by Wolfgang Hackbusch
Iterative Solution of Large Sparse Systems of Equations [[electronic resource] /] / by Wolfgang Hackbusch
Autore Hackbusch Wolfgang
Edizione [2nd ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (XXIII, 509 p. 26 illus., 11 illus. in color.)
Disciplina 518.26
Collana Applied Mathematical Sciences
Soggetto topico Numerical analysis
Matrix theory
Algebra
Partial differential equations
Numerical Analysis
Linear and Multilinear Algebras, Matrix Theory
Partial Differential Equations
ISBN 3-319-28483-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I: Linear Iterations -- Introduction -- Iterative Methods -- Classical Linear Iterations in the Positive Definite Case -- Analysis of Classical Iterations Under Special Structural Conditions -- Algebra of Linear Iterations -- Analysis of Positive Definite Iterations -- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods -- Semi-Iterative Methods -- Gradient Methods -- Conjugate Gradient Methods and Generalizations -- Part III: Special Iterations -- Multigrid Iterations -- Domain Decomposition and Subspace Methods -- H-LU Iteration -- Tensor-based Methods -- Appendices.
Record Nr. UNINA-9910254096203321
Hackbusch Wolfgang  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
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L1-Norm and L∞-Norm estimation [[electronic resource] ] : an introduction to the least absolute residuals, the minimax absolute residual and related fitting procedures / / by Richard Farebrother
L1-Norm and L∞-Norm estimation [[electronic resource] ] : an introduction to the least absolute residuals, the minimax absolute residual and related fitting procedures / / by Richard Farebrother
Autore Farebrother Richard
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (58 p.)
Disciplina 519.5
519.5/44
Collana SpringerBriefs in Statistics
Soggetto topico Statistics 
Matrix theory
Algebra
Geometry
Mathematics
History
Mechanics
Statistical Theory and Methods
Linear and Multilinear Algebras, Matrix Theory
History of Mathematical Sciences
Classical Mechanics
ISBN 3-642-36300-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Point Fitting Problems in One- and Two-dimensions -- The Hyperplane Fitting Problem in Two or More Dimensions -- Linear Programming Computations -- Statistical Theory -- The Least Median of Squared Residuals Procedure -- Mechanical Representations -- References -- Index of Names.  .
Record Nr. UNINA-9910437861403321
Farebrother Richard  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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