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Advanced linear algebra with applications / / Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque
Advanced linear algebra with applications / / Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque
Autore Ashraf Mohammad <1959->
Pubbl/distr/stampa Singapore : , : Springer Nature Singapore Pte Ltd., , [2022]
Descrizione fisica 1 online resource (504 pages)
Disciplina 512.5
Soggetto topico Algebras, Linear
Àlgebra lineal
Soggetto genere / forma Llibres electrònics
ISBN 981-16-2166-7
981-16-2167-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996549467103316
Ashraf Mohammad <1959->  
Singapore : , : Springer Nature Singapore Pte Ltd., , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Advanced Linear Algebra with Applications / / by Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque
Advanced Linear Algebra with Applications / / by Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque
Autore Ashraf Mohammad <1959->
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022
Descrizione fisica 1 online resource (504 pages)
Disciplina 512.5
Collana Mathematics and Statistics Series
Soggetto topico Algebras, Linear
Linear Algebra
Àlgebra lineal
Soggetto genere / forma Llibres electrònics
ISBN 9789811621666
9811621667
9789811621673
9811621675
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Algebraic Structures -- Matrices and Systems of Linear Equations -- Vector Spaces -- Linear Transformations -- Dual Spaces -- Inner Product Spaces -- Canonical Forms of an Operator -- Bilinear and Quadratic Forms -- Sesquilinear and Hermitian Forms -- Applications of Linear Algebra to Numerical Methods -- Affine and Euclidean Spaces and the Applications of Linear Algebra to Geometry -- Ordinary differential equations and linear systems of ordinary differential equations. .
Record Nr. UNINA-9910743231903321
Ashraf Mohammad <1959->  
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Advanced linear and matrix algebra / / Nathaniel Johnston
Advanced linear and matrix algebra / / Nathaniel Johnston
Autore Johnston Nathaniel
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (XVI, 494 p. 123 illus., 108 illus. in color.)
Disciplina 512.5
Soggetto topico Algebras, Linear
Matrices
Àlgebra lineal
Matrius (Matemàtica)
Algebra
Soggetto genere / forma Llibres electrònics
ISBN 3-030-52815-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions.
Record Nr. UNISA-996466403803316
Johnston Nathaniel  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Advanced linear and matrix algebra / / Nathaniel Johnston
Advanced linear and matrix algebra / / Nathaniel Johnston
Autore Johnston Nathaniel
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (XVI, 494 p. 123 illus., 108 illus. in color.)
Disciplina 512.5
Soggetto topico Algebras, Linear
Matrices
Àlgebra lineal
Matrius (Matemàtica)
Algebra
Soggetto genere / forma Llibres electrònics
ISBN 3-030-52815-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions.
Record Nr. UNINA-9910483059803321
Johnston Nathaniel  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Application-inspired linear algebra / / Heather A. Moon, Thomas J. Asaki, Marie A. Snipes
Application-inspired linear algebra / / Heather A. Moon, Thomas J. Asaki, Marie A. Snipes
Autore Moon Heather A.
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (538 pages)
Disciplina 512.5
Collana Springer Undergraduate Texts in Mathematics and Technology
Soggetto topico Algebras, Linear
Àlgebra lineal
Soggetto genere / forma Llibres electrònics
ISBN 3-030-86155-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Outline of Text -- Using This Text -- Exercises -- Computational Tools -- Ancillary Materials -- Acknowledgements -- Contents -- About the Authors -- Introduction To Applications -- 1.1 A Sample of Linear Algebra in Our World -- 1.1.1 Modeling Dynamical Processes -- 1.1.2 Signals and Data Analysis -- 1.1.3 Optimal Design and Decision-Making -- 1.2 Applications We Use to Build Linear Algebra Tools -- 1.2.1 CAT Scans -- 1.2.2 Diffusion Welding -- 1.2.3 Image Warping -- 1.3 Advice to Students -- 1.4 The Language of Linear Algebra -- 1.5 Rules of the Game -- 1.6 Software Tools -- 1.7 Exercises -- Vector Spaces -- 2.1 Exploration: Digital Images -- 2.1.1 Exercises -- 2.2 Systems of Equations -- 2.2.1 Systems of Equations -- 2.2.2 Techniques for Solving Systems of Linear Equations -- 2.2.3 Elementary Matrix -- 2.2.4 The Geometry of Systems of Equations -- 2.2.5 Exercises -- 2.3 Vector Spaces -- 2.3.1 Images and Image Arithmetic -- 2.3.2 Vectors and Vector Spaces -- 2.3.3 The Geometry of the Vector Space mathbbR3 -- 2.3.4 Properties of Vector Spaces -- 2.3.5 Exercises -- 2.4 Vector Space Examples -- 2.4.1 Diffusion Welding and Heat States -- 2.4.2 Function Spaces -- 2.4.3 Matrix Spaces -- 2.4.4 Solution Spaces -- 2.4.5 Other Vector Spaces -- 2.4.6 Is My Set a Vector Space? -- 2.4.7 Exercises -- 2.5 Subspaces -- 2.5.1 Subsets and Subspaces -- 2.5.2 Examples of Subspaces -- 2.5.3 Subspaces of mathbbRn -- 2.5.4 Building New Subspaces -- 2.5.5 Exercises -- Vector Space Arithmetic and Representations -- 3.1 Linear Combinations -- 3.1.1 Linear Combinations -- 3.1.2 Matrix Products -- 3.1.3 The Matrix Equation Ax=b -- 3.1.4 The Matrix Equation Ax=0 -- 3.1.5 The Principle of Superposition -- 3.1.6 Exercises -- 3.2 Span -- 3.2.1 The Span of a Set of Vectors -- 3.2.2 To Span a Set of Vectors -- 3.2.3 Span X is a Vector Space.
3.2.4 Exercises -- 3.3 Linear Dependence and Independence -- 3.3.1 Linear Dependence and Independence -- 3.3.2 Determining Linear (In)dependence -- 3.3.3 Summary of Linear Dependence -- 3.3.4 Exercises -- 3.4 Basis and Dimension -- 3.4.1 Efficient Heat State Descriptions -- 3.4.2 Basis -- 3.4.3 Constructing a Basis -- 3.4.4 Dimension -- 3.4.5 Properties of Bases -- 3.4.6 Exercises -- 3.5 Coordinate Spaces -- 3.5.1 Cataloging Heat States -- 3.5.2 Coordinates in mathbbRn -- 3.5.3 Example Coordinates of Abstract Vectors -- 3.5.4 Brain Scan Images and Coordinates -- 3.5.5 Exercises -- Linear Transformations -- 4.1 Explorations: Computing Radiographs and the Radiographic Transformation -- 4.1.1 Radiography on Slices -- 4.1.2 Radiographic Scenarios and Notation -- 4.1.3 A First Example -- 4.1.4 Radiographic Setup Example -- 4.1.5 Exercises -- 4.2 Transformations -- 4.2.1 Transformations are Functions -- 4.2.2 Linear Transformations -- 4.2.3 Properties of Linear Transformations -- 4.2.4 Exercises -- 4.3 Explorations: Heat Diffusion -- 4.3.1 Heat States as Vectors -- 4.3.2 Heat Evolution Equation -- 4.3.3 Exercises -- 4.3.4 Extending the Exploration: Application to Image Warping -- 4.4 Matrix Representations of Linear Transformations -- 4.4.1 Matrix Transformations between Euclidean Spaces -- 4.4.2 Matrix Transformations -- 4.4.3 Change of Basis Matrix -- 4.4.4 Exercises -- 4.5 The Determinants of a Matrix -- 4.5.1 Determinant Calculations and Algebraic Properties -- 4.6 Explorations: Re-Evaluating Our Tomographic Goal -- 4.6.1 Seeking Tomographic Transformations -- 4.6.2 Exercises -- 4.7 Properties of Linear Transformations -- 4.7.1 One-To-One Transformations -- 4.7.2 Properties of One-To-One Linear Transformations -- 4.7.3 Onto Linear Transformations -- 4.7.4 Properties of Onto Linear Transformations -- 4.7.5 Summary of Properties.
4.7.6 Bijections and Isomorphisms -- 4.7.7 Properties of Isomorphic Vector Spaces -- 4.7.8 Building and Recognizing Isomorphisms -- 4.7.9 Inverse Transformations -- 4.7.10 Left Inverse Transformations -- 4.7.11 Exercises -- Invertibility -- 5.1 Transformation Spaces -- 5.1.1 The Nullspace -- 5.1.2 Domain and Range Spaces -- 5.1.3 One-to-One and Onto Revisited -- 5.1.4 The Rank-Nullity Theorem -- 5.1.5 Exercises -- 5.2 Matrix Spaces and the Invertible Matrix Theorem -- 5.2.1 Matrix Spaces -- 5.2.2 The Invertible Matrix Theorem -- 5.2.3 Exercises -- 5.3 Exploration: Reconstruction Without an Inverse -- 5.3.1 Transpose of a Matrix -- 5.3.2 Invertible Transformation -- 5.3.3 Application to a Small Example -- 5.3.4 Application to Brain Reconstruction -- Diagonalization -- 6.1 Exploration: Heat State Evolution -- 6.2 Eigenspaces and Diagonalizable Transformations -- 6.2.1 Eigenvectors and Eigenvalues -- 6.2.2 Computing Eigenvalues and Finding Eigenvectors -- 6.2.3 Using Determinants to Find Eigenvalues -- 6.2.4 Eigenbases -- 6.2.5 Diagonalizable Transformations -- 6.2.6 Exercises -- 6.3 Explorations: Long-Term Behavior and Diffusion Welding Process Termination Criterion -- 6.3.1 Long-Term Behavior in Dynamical Systems -- 6.3.2 Using MATLAB/OCTAVE to Calculate Eigenvalues and Eigenvectors -- 6.3.3 Termination Criterion -- 6.3.4 Reconstruct Heat State at Removal -- 6.4 Markov Processes and Long-Term Behavior -- 6.4.1 Matrix Convergence -- 6.4.2 Long-Term Behavior -- 6.4.3 Markov Processes -- 6.4.4 Exercises -- Inner Product Spaces and Pseudo-Invertibility -- 7.1 Inner Products, Norms, and Coordinates -- 7.1.1 Inner Product -- 7.1.2 Vector Norm -- 7.1.3 Properties of Inner Product Spaces -- 7.1.4 Orthogonality -- 7.1.5 Inner Product and Coordinates -- 7.1.6 Exercises -- 7.2 Projections -- 7.2.1 Coordinate Projection -- 7.2.2 Orthogonal Projection.
7.2.3 Gram-Schmidt Process -- 7.2.4 Exercises -- 7.3 Orthogonal Transformations -- 7.3.1 Orthogonal Matrices -- 7.3.2 Orthogonal Diagonalization -- 7.3.3 Completing the Invertible Matrix Theorem -- 7.3.4 Symmetric Diffusion Transformation -- 7.3.5 Exercises -- 7.4 Exploration: Pseudo-Inverting the Non-invertible -- 7.4.1 Maximal Isomorphism Theorem -- 7.4.2 Exploring the Nature of the Data Compression Transformation -- 7.4.3 Additional Exercises -- 7.5 Singular Value Decomposition -- 7.5.1 The Singular Value Decomposition -- 7.5.2 Computing the Pseudo-Inverse -- 7.5.3 Exercises -- 7.6 Explorations: Pseudo-Inverse Tomographic Reconstruction -- 7.6.1 The First Pseudo-Inverse Brain Reconstructions -- 7.6.2 Understanding the Effects of Noise. -- 7.6.3 A Better Pseudo-Inverse Reconstruction -- 7.6.4 Using Object-Prior Information -- 7.6.5 Additional Exercises -- Conclusions -- 8.1 Radiography and Tomography Example -- 8.2 Diffusion -- 8.3 Your Next Mathematical Steps -- 8.3.1 Modeling Dynamical Processes -- 8.3.2 Signals and Data Analysis -- 8.3.3 Optimal Design and Decision Making -- 8.4 How to move forward -- 8.5 Final Words -- A Transmission Radiography and Tomography: A Simplified Overview -- A.1 What is Radiography? -- A.2 The Incident X-ray Beam -- A.3 X-Ray Beam Attenuation -- A.4 Radiographic Energy Detection -- A.5 The Radiographic Transformation Operator -- A.6 Multiple Views and Axial Tomography -- A.7 Model Summary -- A.8 Model Assumptions -- A.9 Additional Resources -- B The Diffusion Equation -- C Proof Techniques -- C.1 Logic -- C.2 Proof structure -- C.3 Direct Proof -- C.4 Contrapositive -- C.5 Proof by Contradiction -- C.6 Disproofs and Counterexamples -- C.7 The Principle of Mathematical Induction -- C.8 Etiquette -- D Fields -- D.1 Exercises.
Record Nr. UNISA-996479369703316
Moon Heather A.  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Application-Inspired Linear Algebra / / by Heather A. Moon, Thomas J. Asaki, Marie A. Snipes
Application-Inspired Linear Algebra / / by Heather A. Moon, Thomas J. Asaki, Marie A. Snipes
Autore Moon Heather A.
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Descrizione fisica 1 online resource (538 pages)
Disciplina 512.5
Collana Springer Undergraduate Texts in Mathematics and Technology
Soggetto topico Algebras, Linear
Mathematics
Linear Algebra
Applications of Mathematics
Àlgebra lineal
Soggetto genere / forma Llibres electrònics
ISBN 3-030-86155-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Introduction -- 2 Vector Spaces -- 3 Vector Space Arithmetic and Representations -- 4 Linear Transformations -- 5 Invertibility -- 6 Diagonalization -- 7 Inner Product Spaces and Pseudo-Invertibility -- 8 Conclusions -- A Radiography and Tomography -- B The Diffusion Equation -- C Proof Techniques -- D Fields.
Record Nr. UNINA-9910574049803321
Moon Heather A.  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Applied Linear Algebra and Matrix Methods / / by Timothy G. Feeman
Applied Linear Algebra and Matrix Methods / / by Timothy G. Feeman
Autore Feeman Timothy G
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Springer Nature, 2023
Descrizione fisica 1 online resource (330 pages)
Disciplina 512.5
Collana Springer Undergraduate Texts in Mathematics and Technology
Soggetto topico Algebras, Linear
Linear Algebra
Àlgebra lineal
Soggetto genere / forma Llibres electrònics
ISBN 3-031-39562-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- 1. Vectors -- 2. Matrices -- 3. Matrix Contexts -- 4. Linear Systems -- 5. Least Squares and Matrix Geometry. 6. Orthogonal Systems -- 7. Eigenvalues -- 8. Markov Processes -- 9. Symmetric Matrices -- 10. Singular Value Decomposition -- 11. Function Spaces.-Bibliography.-Index.
Record Nr. UNINA-9910766887703321
Feeman Timothy G  
Springer Nature, 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Applied Linear Algebra, Probability and Statistics : A Volume in Honour of C. R. Rao and Arbind K. Lal / / edited by Ravindra B. Bapat, Manjunatha Prasad Karantha, Stephen J. Kirkland, Samir Kumar Neogy, Sukanta Pati, Simo Puntanen
Applied Linear Algebra, Probability and Statistics : A Volume in Honour of C. R. Rao and Arbind K. Lal / / edited by Ravindra B. Bapat, Manjunatha Prasad Karantha, Stephen J. Kirkland, Samir Kumar Neogy, Sukanta Pati, Simo Puntanen
Autore Bapat R. B
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (540 pages)
Disciplina 512.5
Altri autori (Persone) KaranthaManjunatha Prasad
KirklandStephen J
NeogySamir Kumar
PatiSukanta
PuntanenSimo
Collana Indian Statistical Institute Series
Soggetto topico Algebras, Linear
Probabilities
Statistics
Graph theory
Stochastic processes
Game theory
Linear Algebra
Probability Theory
Statistical Theory and Methods
Graph Theory
Stochastic Processes
Game Theory
Àlgebra lineal
Probabilitats
Estadística
Soggetto genere / forma Llibres electrònics
ISBN 9789819923106
9819923107
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1. On Some Matrix Versions of Covariance, Harmonic Mean and other Inequalities: An Overview -- Chapter 2. The Impact of Professor C. R. Rao's Research used in solving problems in Applied Probability -- Chapter 3. Upper ounds for the Euclidean distances between the BLUEs under the partitioned linear fixed model and the corresponding mixed model -- Chapter 4. Nucleolus Computation for some Structured TU Games via Graph Theory and Linear Algebra -- Chapter 5. From Linear System of Equations to Artificial Intelligence - The evolution Journey of Computer Tomographic Image Reconstruction Algorithms -- Chapter 6. Shapley Value and other Axiomatic Extensions to Shapley Value -- Chapter 7. An Accelerated Block Randomized Kaczmarz Methos -- Chapter 8. Nullity of Graphs - A Survey and Some New Results -- Chapter 9. Some Observations on Algebraic Connectivity of Graphs -- Chapter 10. Orthogonality for iadjoints f Operators -- Chapter 11. Permissible covariance structures for simultaneous retention of BLUEs in small and big linear models -- Chapter 12. On some Special Matrices and its Applications in Linear Complementarity Problem -- Chapter 3. On Nearest Matrix with Partially Specified Eigen Structure -- Chapter 14. Equality of BLUEs for Full, Small, and Intermediate Linear Models under Covariance Change, with links to Data Confidentiality and Encryption.-Chapter 15. Statistical Inference for Middle Censored Data with Applications. etc.
Record Nr. UNINA-9910736008903321
Bapat R. B  
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Bilinear Maps and Tensor Products in Operator Theory / / by Carlos S. Kubrusly
Bilinear Maps and Tensor Products in Operator Theory / / by Carlos S. Kubrusly
Autore Kubrusly Carlos S
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (263 pages)
Disciplina 515.724
Collana Universitext
Soggetto topico Functional analysis
Operator theory
Functional Analysis
Operator Theory
Teoria d'operadors
Productes tensorials
Àlgebra lineal
Soggetto genere / forma Llibres electrònics
ISBN 3-031-34093-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- 1. Linear-Space Results -- 2. Bilinear Maps: Algebraic Aspects -- 3. Algebraic Tensor Product -- 4. Interpretations -- 5. Normed-Space Results -- 6. Bounded Bilinear Maps -- 7. Norms on Tensor Products -- 8. Operator Norms -- 9. Tensor Product Operators -- References -- List of Symbols -- Index.
Record Nr. UNINA-9910763598603321
Kubrusly Carlos S  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Calculus and Linear Algebra : Fundamentals and Applications / / by Aldo G. S. Ventre
Calculus and Linear Algebra : Fundamentals and Applications / / by Aldo G. S. Ventre
Autore Ventre Aldo G. S.
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (530 pages)
Disciplina 512.5
515
Soggetto topico Engineering mathematics
Algebras, Linear
Mathematics
Engineering Mathematics
Linear Algebra
Applications of Mathematics
Càlcul
Àlgebra lineal
Soggetto genere / forma Llibres electrònics
ISBN 9783031205491
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Language Sets -- Numbers and propositions -- Relations -- Euclidean geometry -- Functions -- The real line -- Real-valued functions of a real variable. The line.
Record Nr. UNINA-9910659487403321
Ventre Aldo G. S.  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
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