Cavite State University - CCAT Campus - Library

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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

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.

EBOP00008 1

In English text.