Sentence examples for matrices with positive from inspiring English sources

Throughout this paper we denote by the set of all matrices with positive elements, by the zero matrix, and by the identity matrix.

We denote by M m m ( R + ) the set of all m × m matrices with positive elements and by I the identity m × m matrix.

We generalize the Nevanlinna representation theorems and Löwner's theorem on matrix monotone functions to the free Pick class, the collection of functions that map tuples of matrices with positive imaginary part into the matrices with positive imaginary part which obey the free functional calculus.

We denote by (M_{mm} (mathbb{R}_ ) ) the set of all (mtimes m) matrices with positive elements, by I the identity (mtimes m) matrix and by (O_{m}) the null (mtimes m) matrix.

Obviously (x_{i}neq+infty), then X is a diagonal matrix with positive diagonal entries.

According to Definition 1.3, (underline{Phi}) is a H-matrix with positive diagonal elements, it is to say (underline{Phi}>0).

As (varepsilonneq+infty), so (x_{i}neq+infty), which implies that X is a diagonal matrix with positive entries.

where Γ is a diagonal matrix with positive diagonal elements and φ is in (Gamma _{0}(mathbb {R}^{m+1})).

Another class is constituted by materials consisting of a matrix with positive Poisson's ratio with embedded microstructural elements producing macroscopic negative Poisson's ratio.

The matrix (A = operatorname {diag}(a_{1}, a_{2}, dots,a_{n})) is a diagonal matrix with positive entries (a_{i} > 0).

The NMF, [21], where a matrix with positive values is decomposed into positive basis functions, has been applied for classification of TF spectrum of audio signals [22, 23].