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Metzler matrix - translation to russian

MATRIX IN WHICH THE OFF-DIAGONAL VALUES ARE NONNEGATIVE

Quasipositive matrix

Metzler matrix

матрица Метцлера

submatrix

$An undirected graph with adjacency matrix: <math display="block">\begin{bmatrix} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}.</math>$
$Two different Markov chains. The chart depicts the number of particles (of a total of 1000) in state "2". Both limiting values can be determined from the transition matrices, which are given by <math> \begin{bmatrix} 0.7 & 0\\ 0.3 & 1 \end{bmatrix}</math> (red) and <math> \begin{bmatrix} 0.7 & 0.2\\ 0.3 & 0.8 \end{bmatrix}</math> (black).$

RECTANGULAR ARRAY OF NUMBERS, SYMBOLS, OR EXPRESSIONS, ARRANGED IN ROWS AND COLUMNS

Matrix (Mathematics); Matrix (math); Submatrix; Matrix theory; Matrix (maths); Submatrices; Matrix Theory and Linear Algebra; Infinite matrix; Square (matrix); Matrix operation; Square submatrix; Matrix(mathematics); Real matrix; Matrix math; Matrix index; Equal matrix; Matrix equation; Matrix (computer science); Matrix notation; Empty matrix; Real matrices; Principal submatrix; Array (mathematics); Matrix power; Complex matrix; Complex matrices; Applications of matrices; Rectangular matrix; Uniform matrix

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Смотрите также

essential submatrix; nonsingular submatrix; principal submatrix; square submatrix

principal submatrix

$An undirected graph with adjacency matrix: <math display="block">\begin{bmatrix} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}.</math>$
$Two different Markov chains. The chart depicts the number of particles (of a total of 1000) in state "2". Both limiting values can be determined from the transition matrices, which are given by <math> \begin{bmatrix} 0.7 & 0\\ 0.3 & 1 \end{bmatrix}</math> (red) and <math> \begin{bmatrix} 0.7 & 0.2\\ 0.3 & 0.8 \end{bmatrix}</math> (black).$

RECTANGULAR ARRAY OF NUMBERS, SYMBOLS, OR EXPRESSIONS, ARRANGED IN ROWS AND COLUMNS

Matrix (Mathematics); Matrix (math); Submatrix; Matrix theory; Matrix (maths); Submatrices; Matrix Theory and Linear Algebra; Infinite matrix; Square (matrix); Matrix operation; Square submatrix; Matrix(mathematics); Real matrix; Matrix math; Matrix index; Equal matrix; Matrix equation; Matrix (computer science); Matrix notation; Empty matrix; Real matrices; Principal submatrix; Array (mathematics); Matrix power; Complex matrix; Complex matrices; Applications of matrices; Rectangular matrix; Uniform matrix

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Definition

MATRIX MATH

<language> An early system on the UNIVAC I or II. [Listed in CACM 2(5):1959-05-16]. (1997-02-27)

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Wikipedia

Metzler matrix

In mathematics, a Metzler matrix is a matrix in which all the off-diagonal components are nonnegative (equal to or greater than zero):

\forall _{i\neq j}\,x_{ij}\geq 0.

It is named after the American economist Lloyd Metzler.

Metzler matrices appear in stability analysis of time delayed differential equations and positive linear dynamical systems. Their properties can be derived by applying the properties of nonnegative matrices to matrices of the form M + aI, where M is a Metzler matrix.

https://en.wikipedia.org/wiki/Metzler matrix

What is the Russian for Metzler matrix? Translation of &#39Metzler matrix&#39 to Russian