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Joel N Franklin Matrix Theory (Paperback) Dover Books on Mathema 1.4tics
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eBay item number:315073805375
Item specifics
- Condition
- Book Title
- Matrix Theory
- Publication Name
- Matrix Theory
- Title
- Matrix Theory
- Format
- Trade Paperback
- ISBN-10
- 0486411796
- EAN
- 9780486411798
- ISBN
- 9780486411798
- Publisher
- Dover Publications, Incorporated
- Genre
- Science Nature & Math
- Release Date
- 28/03/2003
- Release Year
- 2003
- Language
- English
- Country/Region of Manufacture
- US
- Item Height
- 0.7in
- Item Length
- 9in
- Item Width
- 5.5in
- Item Weight
- 13.1 Oz
- Series
- Dover Books on Mathematics Ser.
- Publication Year
- 2000
- Type
- Textbook
- Number of Pages
- 320 Pages
About this product
Product Information
Solid, mathematically rigorous introduction covers diagonalizations and triangularizations of Hermitian and non-Hermitian matrices, the matrix theorem of Jordan, variational principles and perturbation theory of matrices, matrix numerical analysis, in-depth analysis of linear computations, more. Only a background in elementary algebra and calculus is required. Problem-solving exercises. 1968 edition.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486411796
ISBN-13
9780486411798
eBay Product ID (ePID)
1829445
Product Key Features
Publication Name
Matrix Theory
Format
Trade Paperback
Language
English
Series
Dover Books on Mathematics Ser.
Publication Year
2000
Type
Textbook
Number of Pages
320 Pages
Dimensions
Item Length
9in
Item Height
0.7in
Item Width
5.5in
Item Weight
13.1 Oz
Additional Product Features
Lc Classification Number
Qa188.F66
Table of Content
1. Determinants 1.1 Introduction 1.2 The Definition of a Determinant 1.3 Properties of Determinants 1.4 Row and Column Expansions 1.5 Vectors and Matrices 1.6 The Inverse Matrix 1.7 The Determinant of a Matrix Product 1.8 The Derivative of a Determinant 2. The Theory of Linear Equations 2.1 Introduction 2.2 Linear Vector Spaces 2.3 Basis and Dimension 2.4 Solvability of Homogeneous Equations 2.5 Evaluation of Rank by Determinants 2.6 The General m x n Inhomogeneous System 2.7 Least-Squares Solution of Unsolvable Systems 3. Matrix Analysis of Differential Equations 3.1 Introduction 3.2 Systems of Linear Differential Equations 3.3 Reduction to the Homogeneous System 3.4 Solution by the Exponential Matrix 3.5 Solution by Eigenvalues and Eigenvectors 4. Eigenvalues, Eigenvectors, and Canonical Forms 4.1 Matrices with Distinct Eigenvalues 4.2 The Canonical Diagonal Form 4.3 The Trace and Other Invariants 4.4 Unitary Matrices 4.5 The Gram-Schmidt Orthogonalization Process 4.6 Principal Axes of Ellipsoids 4.7 Hermitian Matrices 4.8 Mass-spring Systems; Positive Definiteness; Simultaneous Diagonalization 4.9 Unitary Triangularization 4.10 Normal Matrices 5. The Jordan Canonical Form 5.1 Introduction 5.2 Principal Vectors 5.3 Proof of Jordan's Theorem 6. Variational Principles and Perturbation Theory 6.1 Introduction 6.2 The Rayleigh Principle 6.3 The Courant Minimax Theorem 6.4 The Inclusion Principle 6.5 A Determinant-criterion for Positive Definiteness 6.6 Determinants as Volumes; Hadamard's Inequality 6.7 Weyl's Inequalities 6.8 Gershgorin's Theorem 6.9 Vector Norms and the Related Matrix Norms 6.10 The Condition-Number of a Matrix 6.11 Positive and Irreducible Matrices 6.12 Perturbations of the Spectrum 6.13 Continuous Dependence of Eigenvalues on Matrices 7. Numerical Methods 7.1 Introduction 7.2 The Method of Elimination 7.3 Factorization by Triangular Matrices 7.4 Direct Solution of Large systems of Linear Equations 7.5 Reduction of Rounding Error 7.6 The Gauss-Seidel and Other Iterative Methods 7.7 Computation of Eigenvectors from Known Eigenvalues 7.8 Numerical Instability of the Jordan Canonical Form 7.9 The Method of Iteration for Dominant Eigenvalues 7.10 Reduction to Obtain the Smaller Eigenvalues 7.11 Eigenvalues and Eigenvectors of Tridiagonal and Hessenberg Matrices 7.12 The Method of Householder and Bauer 7.13 Numerical Identification of Stable Matrices 7.14 Accurate Unitary Reduction to Triangular Form 7.15 The QR Method for Computing Eigenvalues Index
Target Audience
College Audience
Topic
Matrices
Lccn
99-058316
Dewey Decimal
512/.896
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics
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