Sentence examples for matrix if its from inspiring English sources

Here a matrix A is called a Metzler matrix if its off-diagonal entries are non-negative.

We say a summability matrix A is a weighted mean matrix if its entries satisfy: a n, k = λ k / Λ n, 1 ≤ k ≤ n ; Λ n = ∑ i = 1 n λ i, λ i ≥ 0, λ 1 > 0. (1.3).

We removed any reaction from the covariance matrix if its variance was less than 1/80 th the value of the largest variance in the matrix.

A matrix A is called an H-matrix if its comparison matrix (langle Arangle) is an M-matrix, and an (H_ -matrix if it is an H_ -matrixnd ifs ditgonal entriss ane positive; see [19].

A matrix (A=[a_{ij}]in R^{n,n}) is called a nonsingular M-matrix if its inverse is nonnegative and all its off-diagonal entries are nonpositive [3].

A matrix (M=[m_{ij}]inmathbb{R}^{ntimes n}) is called: (1) a P-matrix if all its principal minors are positive; (2) a strictly diagonally dominant (SDD) matrix if (|m_{ii}|>sum_{jneq i}^{n}|m_{ij}|) for all (i=1,2,ldots,n); (3) a nonsingular M-matrix if its inverse is nonnegative and all its off-diagonal entries are nonpositive [2].

A matrix (A=(a_{ij})_{ntimes n}) is an H-matrix if its comparison matrix (M(A)=(m_{ij})_{ntimes n}) is an M-matrix, where m_{ij}= left { textstylebegin{array}l@{quad}l} |a_{ii}|, & i=j, -|a_{ij}|, & ineq j. end{array}displaystyle right.

A matrix can have an inverse matrix only if its number of columns is equal to its number of rows.

More generally, if A is a k × k interval matrix and if its columns are denoted by the interval vectors A 1, A 2, …, A k, then E ( AZ ) = E ( ∑ j = 1 k A i Z j ) = ∑ j = 1 k E ( A i Z j ) = ∑ j = 1 k A i E ( Z j ) = A E ( Z ).

We say that A is a conservative matrix if it transforms a convergent sequence into a convergent one.

That's important because you go from 20 micromolar to 20 millimolar in the matrix, if it's a thousand-fold increase.