Handbook of Linear Algebra 2nd Edition by Leslie Hogben

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Handbook of Linear Algebra by Hogben

PDF Free Download | Handbook of Linear Algebra 2nd Edition by Leslie Hogben

Contents of Linear Algebra Handbook

  • Part I Linear Algebra
  • Linear Algebra
  • Vectors, Matrices, and Systems of Linear Equations
  • Linear Independence, Span, and Bases
  • Linear Transformations
  • Determinants and Eigenvalues
  • Inner Product Spaces, Orthogonal Projection, Least Squares, and Singular Value Decomposition
  • Canonical Forms
  • Other Canonical Forms
  • Unitary Similarity, Normal Matrices, and Spectral Theory
  • Hermitian and Positive Definite Matrices
  • Nonnegative and Stochastic Matrices
  • Partitioned Matrices
  • Topics in Linear Algebra
  • Schur Complements
  • Quadratic, Bilinear, and Sesquilinear Forms
  • Multilinear Algebra
  • Tensors and Hypermatrices
  • Matrix Equalities and Inequalities
  • Functions of Matrices
  • Matrix Polynomials
  • Matrix Equations
  • Invariant Subspaces
  • Matrix Perturbation Theory
  • Special Types of Matrices
  • Pseudospectra
  • Numerical Range
  • Matrix Stability and Inertia
  • Generalized Inverses of Matrices
  • Inverse Eigenvalue Problems
  • Totally Positive and Totally Nonnegative Matrices
  • Linear Preserver Problems
  • Matrices over Finite Fields
  • Matrices over Integral Domains
  • Similarity of Families of Matrices
  • Shmuel Friedland
  • Representations of Quivers and Mixed Graphs
  • Roger A Horn and Vladimir V Sergeichuk
  • Marianne Akian, Ravindra Bapat, and St´ephane Gaubert
  • Matrices Leaving a Cone Invariant
  • Bit Shun Tam and Hans Schneider
  • Spectral Sets
  • Part II Combinatorial Matrix Theory and Graphs
  • Combinatorial Matrix Theory
  • Matrices and Graphs
  • Digraphs and Matrices
  • Bipartite Graphs and Matrices
  • Sign Pattern Matrices
  • Topics in Combinatorial Matrix Theory
  • Permanents
  • D Optimal Matrices
  • Tournaments
  • Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs
  • Spectral Graph Theory
  • Steve Butler and Fan Chung
  • Algebraic Connectivity
  • Matrix Completion Problems
  • Part III Numerical Methods
  • Numerical Methods for Linear Systems
  • Vector and Matrix Norms, Error Analysis, Efficiency, and Stability
  • Matrix Factorizations and Direct Solution of Linear Systems
  • Sparse Matrix Methods
  • Iterative Solution Methods for Linear Systems
  • Numerical Methods for Eigenvalues
  • Symmetric Matrix Eigenvalue Techniques
  • Unsymmetric Matrix Eigenvalue Techniques
  • The Implicitly Restarted Arnoldi Method
  • Computation of the Singular Value Decomposition
  • Computing Eigenvalues and Singular Values to High Relative Accuracy
  • Nonlinear Eigenvalue Problems
  • Topics in Numerical Linear Algebra
  • Fast Matrix Multiplication
  • Fast Algorithms for Structured Matrix Computations
  • Structured Eigenvalue Problems — Structure Preserving Algorithms,
  • Structured Error Analysis
  • Large Scale Matrix Computations
  • Part IV Linear Algebra in Other Disciplines
  • Applications to Physical and Biological Sciences
  • Linear Algebra and Mathematical Physics
  • Linear Algebra in Biomolecular Modeling
  • Linear Algebra in Mathematical Population Biology and Epidemiology
  • Applications to Optimization
  • Linear Programming
  • Semidefinite Programming
  • Applications to Probability and Statistics
  • Random Vectors and Linear Statistical Models
  • Multivariate Statistical Analysis
  • Applications to Computer Science
  • Coding Theory
  • Joachim Rosenthal and Paul Weiner
  • Quantum Computation
  • Operator Quantum Error Correction
  • Information Retrieval and Web Search
  • Signal Processing
  • Applications to Analysis
  • Differential Equations and Stability
  • Dynamical Systems and Linear Algebra
  • Control Theory
  • Fourier Analysis
  • Applications to Geometry
  • Geometry
  • Some Applications of Matrices and Graphs in Euclidean Geometry
  • Applications to Algebra
  • Matrix Groups
  • Group Representations
  • Nonassociative Algebras
  • Part V Computational Software
  • Interactive Software for Linear Algebra
  • MATLAB
  • Linear Algebra in Maple
  • Mathematica
  • Sage
  • Packages of Subroutines for Linear Algebra
  • BLAS
  • LAPACK
  • Use of ARPACK and EIGS

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