Sentence examples for matrix equation arises from inspiring English sources

This matrix equation arises in some signal processing problems.

Second-order matrix equations arise in the description of real dynamical systems.

The conjugate gradient methods (CGMs) have been successfully applied to solve the complex matrix equations arising from discretization of boundary integral equations.

General parametric solution to a family of generalized Sylvester matrix equations arising in linear system theory is presented by using the so-called generalized Sylvester mapping which has some elegant properties.

In this paper, we want to analyze a special instance of a nonsymmetric algebraic matrix Riccati equation arising from transport theory.

This kind of equation arises in many fields of physics.

The purpose of this paper is to study the existence and uniqueness of a positive definite solution to the nonlinear matrix equation X = Q − A∗X −1A + B∗X −1B, which is a special stochastic rational Riccati equation arising in stochastic control theory.

The last, fourth, equation arose out from normalization condition (1).

An integral equation arising from potential theory is solved for the normal velocity.

The matrix equation X−M∗X−1M = Q arises in the analysis of stationary Gaussian reciprocal processes over a finite interval[5, 6].

This class of equations arises naturally in the study of population processes and chemical reaction kinetics.