A01=Kazuo Murota
A01=Masaaki Sugihara
Anti-Symmetric Matrix
Associative Law
Author_Kazuo Murota
Author_Masaaki Sugihara
Banach Space
Band Width
Binet-Cauchy Expansion
Bisection Method
Block-Triangular Matrix
Calculus of Variation
Category=PBF
Cauchy-Binet Expansion
Cauchy-Schwarz Inequality
Covariance Matrix
Diagonal Matrix
Dimension
Dual Space
Eigenmode
Eigenspace
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Frobenius Norm
Gershgorin Theorem
Gram Matrix
Gram-Schmidt Orthogonalization
Hankel Matrix
Hermitian Matrix
Hilbert Space
Jordan Matrix
Kronecker Product
Laplace Equation
Laplacian Matrix
Linearly Dependent
Linearly Independent
Markov Chain
Method of Least Squares
Moore-Penrose Generalized Inverse
Nonsingular Matrix
Norm
Normal Equation
Permutation
Pivot
Positive Definite
Quadratic Form
Rank
Rayleigh Quotient
Schur Complement
Sherman-Morrison Formula
Singular Value
Singular Value Decomposition
Space
Sparse Matrix
Sparsity
Triangular Matrix
Tridiagonal Matrix
Unitary Matrix
Vandermonde Matrix
Vector Space
Product details
- ISBN 9789811257971
- Publication Date: 11 Aug 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course.The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.In particular, the following four aspects are emphasized.
