Sentence examples for matrix with nonzero from inspiring English sources

Let A be a nonsingular matrix with nonzero diagonal entries.

Each matrix is a lower triangular matrix with nonzero entries (11).

The discrete generalized Cesàro matrix (A_{t}= ( a_{nk} ) ) is the triangular matrix with nonzero entries (a_{nk}=t^{n-k}/ ( n+1 )), where (tin [ 0,1 ] ).

The coefficient matrix of the linear equations is a lower triangle matrix with nonzero diagonal entry ( m − n ) c. Thus the linear equations have a unique solution.

end{aligned} Since M is a lower triangular matrix with nonzero diagonal elements, it is nonsingular and hence (M^{-1}) exists.

In this research, the known Fourier filter coefficients have been transformed into Walsh domain, thereby the 1 × N Fourier filter coefficients were converted into an N × N sparse matrix with nonzero elements in a special pattern.

Implementing multithreaded (A^text{T}X) is much easier, since (A^text{T}) can be viewed as a matrix with nonzeros stored row-by-row, and we can divide the rows of (A^text{T}) into several chunks and compute the product of each row chunk with X on one thread.

where Π a, Π b are permutation matrices and Δ a, Δ b are diagonal scaling matrices with nonzero elements.

It means that any other alternative decomposition of X, denoted as X = A ̄ B T ̄ in which A ̄ ∈ ℂ I × F has Vandermonde strucure and B ̄ ∈ ℂ J × F is full column rank, is related to A and B via A ̄ = A π A Δ A, B ̄ = B π B Δ B, whereπ A π B are permutation matrices andΔ A Δ B are diagonal scaling matrices with nonzero elements.

To create the founder, we generate a N × N matrix Q, with nonzero elements assigned at random with probability c i (the initial connectivity, or fraction of nonzero elements in the matrix W).

A matrix with a nonzero nonnegative vector in its null space is called central.