Sentence examples for matrix function is from inspiring English sources

A matrix function is said to be continuous, nondecreasing, integrable, etc., if each of its components is.

Here, we assume that we have control inputs so that the input matrix function is given by (4.3).

Assume there exists a matrix function such that the matrix function is invertible, and the following exponential function on a time scale is bounded: (2.3).

where and is the numerical radius (or 2-matrix measure with respect to the spectral -norm) of and the fundamental matrix function is upper-bounded as follows for any and some real constants and, for all.

For the time integration of edge finite element discretizations of the three-dimensional Maxwell equations, we consider the Gautschi cosine scheme where the action of the matrix function is approximated by a Krylov subspace method.

where ω > 0 and P ( t ) is an ω-periodic symmetric matrix function, were obtained.

The operations of the matrix function are first shown as follows.

The author provides necessary and sufficient conditions for a meromorphic matrix function being a Weyl matrix of the non-self-adjoint matrix Sturm-Liouville operator.

We will assume that the following conditions hold: (a1 For all, the elements, of the matrix function are measurable in the square, the elements, of the vector function are measurable in the interval, (2.2). (a2) is a measurable scalar function satisfying,.

The following standard matrix function are defined as follows: T denotes the non-Hermitian transpose; H denotes the Hermitian transpose; tr denotes the trace of a square matrix; det and | · | denote the determinant of a square matrix; ||A|| denotes the norm of the matrix A; E denotes the expectation operator and denotes the Hadamard operation (element wise multiplication) between the two matrices.

Some physiological processes, such as apoptosis and extracellular matrix function, were over-represented in several modules.