Sentence examples for matrices with real from inspiring English sources

The method handles local and nonlocal interactions and Hamiltonians that correspond to either Hermitian or to non-Hermitian matrices with real eigenvalues.

Let M n,R) be the set of n×n matrices with real coefficients and let the group G in the above definition be the natural semidirect product Rn⋊G(n), where n≥2 and G(n) is one of the following groups: either the general linear group GL n,R)="{A∈M n,R |det⁡(A)≠0}, or the special linear group SL n,R)="{A∈GL n,R |det⁡(A)="1}, or |SL n,R)|="{A∈GL n,R)||det⁡(A)|="1} or GL+(n,R)="{A∈GL n,R |det⁡(A)>0}.

Let us denote by Mn × nthe class of all n × n matrices with real elements.

A ( r ( t ) ) and B ( r ( t ) ) ∈ R n × n are matrices with real values in mode r ( t ).

The set of m × k matrices with real entries is denoted by R m × k, R + n ( R + + n ) denotes the nonnegative (positive) orthant in R n.

In what follows we discuss an example built on the global NPC space (of all dimensional positive definite matrices with real coefficients), when endowed with the trace metric, (4.1).

Usual methods for O-D estimation combine some a priori information, like historical O-D matrices, with real-time traffic measurements.

Scaling of the matrix with real world data confirms the widening of Earth's sustainability gap, due to our increasing ecological footprint.

where is a nonsingular matrix with real entries and.

Let be an invertible Hermite matrix with real eigenvalues.

Assume that there exists a real diagonalization matrix with real eigenvalues satisfying (2.14) and commuting with.