**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