Matrix theory : : classics and advances / / edited by Mykhaylo Andriychuk.

• TeilnehmendeR: Andriychuk, Mykhaylo,
• Place / Publishing House: London : : IntechOpen,, [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Physical Description: 1 online resource (272 pages) :; illustrations

Matrix Theory - Classics and Advances 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.

Table of Contents

1. Linear K-Power Preservers and Trace of Power-Product Preservers 47 -- 2. Pencils of Semi-Infinite Matrices and Orthogonal Polynomials 98 -- 3. Matrix as an Alternative Solution for Evaluating Sentence Reordering Tasks 42 -- 4. Weighted Least Squares Perturbation Theory 59 -- 5. A Study on Approximation of a Conjugate Function Using Cesàro-Matrix Product Operator 15 -- 6. Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses 77 -- 7. The COVID-19 DNA-RNA Genetic Code Analysis Using Double Stochastic and Block Circulant Jacket Matrix 45 -- 8. Joint EigenValue Decomposition for Quantum Information Theory and Processing 64 -- 9. Transformation Groups of the Doubly-Fed Induction Machine 57 -- 10. A New Approach to Solve Non-Fourier Heat Equation via Empirical Methods Combined with the Integral Transform Technique in Finite Domains -- By Cristian N. Mihăilescu, Mihai Oane, Natalia Mihăilescu, Carmen Ristoscu, Muhammad Arif Mahmood and Ion N. Mihăilescu 48 -- 11. Advanced Methods for Solving Nonlinear Eigenvalue Problems of Generalized Phase Optimization 42 -- 12. Using Matrix Differential Equations for Solving Systems of Linear Algebraic Equations 57.