Linear algebra, matrix theory and applications / edited by Stefano Spezia.

Includes bibliographical references and index.

Section 1: Matrices and Gaussian elimination -- 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. -- Section 2 Vector spaces, least squares regression and gram-schmidt process. -- Chapter 4 Dimensional lifting through the generalized gram-schmidt process -- Chapter 5 On the extension of 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 -- Section 4: Eigenvalues and eigenvectors -- Chapter 7 A new approach for computing the solution of sylvester matrix equation -- Chapter 9 Shift-invert diagonalization of large mandy-body localizing spin chains -- Section 5: Positive definite matrices and singular value decomposition -- Chapter 10 Ordering positive definite matrices -- Chapter 11 Split-and-combine singular value decomposition for large-scale matrix -- Section 6: Computations with matrices and linear programming -- Chapter 12 Fast matrix multiplication -- Section 7 The Jordan form and the principal matrix p TH root -- Chapter 13 Quasi-rational canonical forms of a matrix over a number field.