"Matrix Theory: Classics and Advances" ed. by Mykhaylo Andriychuk

This volume examines matrix theory and its application in solving a series of problems related to natural phenomena and applied science.

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.

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


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