Sentence examples for matrix functions and from inspiring English sources

Primary matrix functions and spectral functions are two classes of orthogonally invariant functions on a symmetric matrix argument.

The Wiener Hopf factorization of 2×2 matrix functions and its close relation to scalar Riemann Hilbert problems on Riemann surfaces is investigated.

The results obtained extend analogous results of the authors for rational matrix functions and for functions that are analytic on the real line and at infinity.

Several robust stabilities of time-varying systems with parametric uncertainties, such as general robust stability, robustly asymptotical stability and exponential stability, are studied using uniformly positive definite matrix functions and the Lyapunov method.

In this paper, it is proposed to modify EPI methods by using Krylov subspace spectral (KSS) methods, instead of standard Krylov projection methods, to compute products of matrix functions and vectors.

As applications of the Hermite property of these algebras, we study factorizations of Wiener Hopf type of rectangular matrix functions and the Toeplitz corona problem in the context of almost periodic functions of several variables.

If we have the vector-function, then we consider the matrix function and its functional determinant (2.2).

where is an approximate fundamental matrix function and is an error vector function.

Now we assume that in (1) and (2) (A t)) is a local-almost automorphic matrix function and (f(t)) is a local-almost automorphic vector function.

Let (Q cdot):[t_{0},theta]rightarrowmathbb{R}^{mtimes m}) be a continuous matrix function and (Q s)) be a positive definite (mtimes m) matrix for every (sin [t_{0},theta ]).

We observed alteration in biological functions related to extracellular matrix function and organization, cellular adhesion, muscle growth, lipid metabolism and proteolysis.