Matrix mathematics : theory, facts, and formulas
Linear systems Matrices Mathematics Number theory e-böcker
Princeton University Press
2009
2nd ed.
EISBN 9781400833344
Preliminaries.
Basic matrix properties.
Matrix classes and transformations.
Polynomial matrices and rational transfer functions.
Matrix decompositions.
Generalized inverses.
Kronecker and Schur algebra.
Positive-semidefinite matrices.
Norms.
Functions of matrices and their derivatives.
The matrix exponential and stability theory.
Linear systems and control theory.
Each chapter in this book describes relevant background theory followed by specialized results Hundreds of identitites, inequalities, and matrix facts are stated clearly with cross references, citations to the literature, and illuminating remarks.
Basic matrix properties.
Matrix classes and transformations.
Polynomial matrices and rational transfer functions.
Matrix decompositions.
Generalized inverses.
Kronecker and Schur algebra.
Positive-semidefinite matrices.
Norms.
Functions of matrices and their derivatives.
The matrix exponential and stability theory.
Linear systems and control theory.
Each chapter in this book describes relevant background theory followed by specialized results Hundreds of identitites, inequalities, and matrix facts are stated clearly with cross references, citations to the literature, and illuminating remarks.
