Sentence examples for has an upper triangular from inspiring English sources

The Gröbner basis of the system has an upper triangular structure.

This canonical form has an upper triangular block structure where the diagonal blocks are formed by cyclic, nilpotent, and companion submatrices.

with M being a unit lower triangular matrix and with N having an upper triangular structure.

has an upper bound.

One example is the so-called reduced QR factorization (matrix decomposition), A= QR, with a matrix ({mathbf {Q}}in mathbb {R}^{ntimes m}) having orthonormal columns, and an upper triangular matrix ({mathbf {R}}in mathbb {R}^{mtimes m}) containing the coefficients of the basis transformation [1].

Also let V 1 = L'L, where L is an upper triangular matrix.

It has been known that a square matrix can be triangularized by iterative QR transformations[26 28], where Q is an orthogonal matrix and R is an upper triangular matrix.

On the one hand, the upper triangular nature of A t and B t simplify the number of computations considerably (the inverse of an upper triangular matrix is also upper triangular).

Furthermore, we design an upper triangular preconditioning algorithm for the linear finite element discrete system.

which generates an upper triangular matrix, and a unitary matrix so that (9).

The QRD generates an upper triangular matrix, and a unitary matrix according to (9).