Rolando D. Somma of Google Quantum AI and colleagues have devised a quantum algorithm that efficiently solves the Sylvester equation, a fundamental linear matrix equation used in fields from control ...

To be able to solve linear simultaneous equations by finding the inverse of a matrix. To appreciate that the determinant can be used to determine the existence (or not) of a unique solution for a ...

Polynomial matrices, whose entries are univariate or multivariate polynomials, furnish a powerful algebraic framework for the analysis and control of linear systems. By extending classical matrix ...

Abstract: Coupled matrix equations (CMEs) is a powerful mathematical tool in engineering. Most existing algorithms for solving CMEs rely on digital iterative implementations, which require a ...

First order scalar differential equations including basic solution techniques and numerical methods. Second order linear, constant coefficient differential equations, including both the homogeneous ...