TY - BOOK AU - Spezia, Stefano, editor. TI - Linear algebra, matrix theory and applications / AV - EBOP QA 184.2 L56 2020 PY - 2020/// CY - Oakville, Ontario PB - Arcler Press KW - Matrices KW - Algebras, Linear N1 - Includes references and index; Chapter 1: Reduced Triangular Form of Polynomial 3-by-3 Matrices with One Characteristics Root and Its Invariants Chapter 2: Representation of the Matrix for Conversion between Triangular Bezier Patches and Rectangular Bezier Patches Chapter 3: gaussian Elimination-Based Novel Canonical Correlation Analysis Method for EEG Motion Artifact Removal Chapter 4: Dimensional Lifting Through the Generalized Gram-Schmidt Process Chapter 5: On the Extension Sarrus' Rule to n x n (n > 3) Matrices: Development of New Method for the Computation of the Determinant of 4x4 Matrix Chapter 6: Optimization of the Determinant of the Vandermonde Matrix and Related Matrices Chapter 7: On Finite Nilpotent Matrix Groups Over Integral Domains Chapter 8: A New Approach for Computing the Solution of Sylvester Matrix Equation Chapter 9: Shift-invert Diagonalization of Large Many-body Localizing Spin Chains Chapter 10: Ordering Positive Definite Matrices Chapter 11: Split-and-Combine Singular Value Decomposition for Large-Scale Matrix Chapter 12: Fast Matrix Multiplication Chapter 13: Quasi-Rational Canonical Forms of a Matrix Over a Number Field N2 - Linear Algebra, Matrix Theory and Applications gives insights into the various aspects related to the matrices including the concepts on vector spaces, least square regression, determinants, eigen values, eigen vectors, positive definite matrices, singular value decomposition and teaches the readers the methods of computation in matrices.This book also discusses about Reduced triangular form of polynomial, Gaussian Elimination-based correlation analysis, Shift-invert diagonalization of spin chains, Fast matrix multiplication, Finding the pth root of principal matrix and Quasi-rational canonical form of a matrix ER -