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This book examines matrix theory and its application in solving a series of problems related to natural phenomena and applied science. It consists of eleven chapters divided into two sections. Section 1, “Theory and Progress”, discusses the classical problems of matrix theory and its contribution to different fields of pure mathematics. Section 2, “Applications”, contains the research related to the application of matrix theory in applied science.
Linear K-Power Preservers and Trace of Power-Product Preservers
Pencils of Semi-Infinite Matrices and Orthogonal Polynomials
Matrix as an Alternative Solution for Evaluating Sentence Reordering Tasks
Weighted Least Squares Perturbation Theory
A Study on Approximation of a Conjugate Function Using Cesàro-Matrix Product Operator
Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses
The COVID-19 DNA-RNA Genetic Code Analysis Using Double Stochastic and Block Circulant Jacket Matrix
Joint EigenValue Decomposition for Quantum Information Theory and Processing
Transformation Groups of the Doubly-Fed Induction Machine
A New Approach to Solve Non-Fourier Heat Equation via Empirical Methods Combined with the Integral Transform Technique in Finite Domains
Advanced Methods for Solving Nonlinear Eigenvalue Problems of Generalized Phase Optimization
Using Matrix Differential Equations for Solving Systems of Linear Algebraic Equations