TY  - BOOK
AU  - Murota,Kazuo
AU  - Sugihara,Masaaki
TI  - Linear algebra II: Advanced topics for applications
T2  - UTokyo Engineering Course/Basic Mathematics
SN  - 9798886130553 (pbk)
AV  - TA347.L5 M8713 2022
U1  - 512.5 M94L 23/eng/20220914
PY  - 2024///
CY  - Singapore
PB  - World Scientific Publishing
KW  - Algebras, Linear
KW  - Textbooks
N1  - "These volumes were originally written in Japanese and published from Maruzen Publishing in 2013 and 2015. The present English version is their almost faithful translations by the authors"-- preface; Includes bibliographical references and index; [Volume] 2. Advanced topics for applications
N2  - "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. How matrices arise (discretization of differential equations, description of system structures, description of transition probability) What kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices) What characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness) How we can compute (expansion formulas of determinants, elementary transformation, estimates of eigenvalues)"--
ER  -