Sentence examples for number of a matrix from inspiring English sources

Since the condition number of a matrix increases as the column correlation increases, we next look at the correlation between the columns of.

At a distance of 500 mm, or 0·82 wavelengths, outside the measurement sections, there was a relatively large disagreement related to a high condition number of a matrix.

In case of an ill-conditioned channel (i.e., the condition number of a matrix is large), the BER performance of antenna grouping may not be better than that of beamforming because we cannot send N r streams through an ill-conditioned channel.

The condition number of a matrix is defined to be || H||·|| H-1|| where ||·|| is any matrix norm.

Therefore an efficient preconditioning is very important since the rate of convergence for most iterative linear solvers depends on the condition number of a preconditioned matrix.

In general, we denote the number of rows of a matrix by n and the number of columns by m.

There are several methods that allow to find good approximations of the condition number of a general square matrix.

An upper bound for the condition number of the problem of polynomial factorization is given in terms of the condition number of a certain Toeplitz matrix.

In the case of positive definite quadratic forms, Xu [22] focused on the performance to reduce the condition number of a positive definite matrix.

Using the generalized Schwarz inequality, we present some lower bounds for the Frobenius condition number of a positive definite matrix depending on its trace, determinant, and Frobenius norm.

Some of them merely take advantage of the compact representation of a set of numbers in a matrix.