Sentence examples for matrix case problem from inspiring English sources

In this section, we give another example by solving the matrix case problem (5) for comparison with the MM method.

If K 1=K 2=1, this problem degenerates to the original ℓ 1 regularization problem (1) for the matrix case.

Exchange contact details in case problems arise.

For the worst-case problem, we show that the optimal measurement matrix is a Grassmannian line packing for most and a uniform tight frame for all sparse signals.

Acceptance of the matrix ({mathbf{X}} = k{mathbf{A}}) as optimal solution for proportionality case of a general matrix updating problem leads to establishing the fact that all matrices from homothetic family (k{mathbf{A}}) demonstrate an excellent structural similarity between each other.

In this section we prove analogs of (1.12), (1.11) for the case of matrix eigenvalue problems (1.1), (1.2).

Here the question arises: can we accept the initial matrix homothety as optimal solution for proportionality case of matrix-updating problem?

The main theorems (see Theorems 3.8, 3.9) proved in Section 3.3 generalize (1.12), (1.11) for the case of matrix eigenvalue problems (1.1), (1.2).

Its unconditionally perfect security relies on a discrete mathematics problem classified as DistNP-Complete under the average-case analysis, the so-called distributional matrix representability problem.

In case the dimensionality of the double-mutant fitness matrix W is moderate, the matrix approximation problem can be treated using iterative procedures, which solve the weighted least-squares optimization problem, in which binary weights can be employed to ignore the effects of missing entries [58].

In this case, how to restore the original data is among the practical difficulties faced when solving the matrix reconstruction problem.