Linear Algebra Ii: Advanced Topics For Applications
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A01=Kazuo Murota
A01=Masaaki Sugihara
Author_Kazuo Murota
Author_Masaaki Sugihara
Basic Solution
Binary Relation
Binomial Coefficient
Bipartite Graph
Birkhoff's Theorem
Block-Triangular Matrix
Category=PBF
Character Table
Class Function
Conjugacy Class
Convex Hull
Covariance
Determinantal Divisor
Doubly Stochastic Matrix
Duality
Dulmage-Mendelsohn Decomposition
Elementary Divisor
Elementary Matrix
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence Relation
Euclidean Algorithm
Euclidean Domain
Farkas' Lemma
Fourier-Motzkin Elimination Method
Greatest Common Divisor
Group Representation
Hall's Theorem
Hermite Normal Form
Hoffman-Kruskal Theorem
Index of Primitivity
Input-Output Analysis
Integer Lattice
Integer Matrix
Integer Program
Invariant Polynomial
Invariant Subspace
Jacobian Matrix
Kronecker Canonical Form
Laplace Transform
Leading Principal Minor
Leontief
Linear Algebra
M-matrix
Markov Chain
Maschke's Theorem
Matrix
Matrix Pencil
Maximum Matching
Moore-Penrose Generalized Inverse
Newton's Method
Nonnegative Matrix
Nonnegative Vector
Normal Equation
Normal Form
Optimization Problem
Orthogonal Representation
Orthogonality
Partial Order
Permutation Matrix
Perron-Frobenius Theorem
Pivotal Transform
Polar Decomposition
Polyhedral Convex Cone
Polynomial Matrix
Positive Matrix
Potential System
Primal Problem
Principal Minor
Principal Submatrix
Probability Vector
Quotient Set
Random Walk
Regular Pencil
Schur's Lemma
Smith Normal Form
Spectral Radius
State-Space Equation
Stationary Distribution
Stochastic Matrix
Subdeterminant
Submatrix
System of Inequalities
Theorem of the Alternative
Totally Unimodular Matrix
Transfer Function
Unimodular Matrix
Vector
Product details
- ISBN 9789811257056
- Publication Date: 02 Sep 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This is the second volume of the two-volume book on linear algebra in the University of Tokyo (UTokyo) Engineering Course.The objective of this second volume is to branch out from the standard mathematical results presented in the first volume to illustrate useful specific topics pertaining to engineering applications. While linear algebra is primarily concerned with systems of equations and eigenvalue problems for matrices and vectors with real or complex entries, this volumes covers other topics such as matrices and graphs, nonnegative matrices, systems of linear inequalities, integer matrices, polynomial matrices, generalized inverses, and group representation theory.The chapters are, for the most part, independent of each other, and can be read in any order according to the reader's interest. The main objective of this book is to present the mathematical aspects of linear algebraic methods for engineering that will potentially be effective in various application areas.
