Sentence examples for minimum of a norm from inspiring English sources

We search, in the same well-identified set of metrics, the minimum of a norm of the approximation error.

Global minimum of convex nuclear norm minimization is obtained by soft thresholding on singular values, known as singular value thresholding (SVT) [36].

A similar approach was presented in [16] using the minimum of the L1-norm of the resulting mixing filter and in [17] using the minimum distance between the adjacent filter coefficients.

Note that the minimum norm of A n  is determined by 1 max v ∞ ( z ) = I { z }, so the minimum norm of A n is equal to the smoothness factor.

Setting the smoothness factor larger than 2λ max, where 2λ max = maxλ k, will result in a minimum norm of A n  of 2λ max.

A splitting TΛM = E ⊕ F is called a l-dominated splitting for a positive integer l if E and F are Df-invariant and ‖ D f l | E ( x ) ‖ / m ( D f l | F ( x ) ) ≤ 1 2, for all x ∈ Λ, where m(A) = inf{||Aυ||: ||υ|| = 1} denotes the minimum norm of a linear map A. Now we can state main results of this article.

It is shown how a best linear unbiased estimate (blue) in the additive variety-block setting can be interpreted as a network flow, that is, a function on edges that obeys the Kirkhhoff laws, of minimum square norm.

This paper shows how a problem of determining the minimum induced norm of the H∞ filter is formulated as a Hamiltonian differential eigenvalue problem.

Partial differential equations (PDEs) are discretized into an under-determined system of equations and a minimum Sobolev norm solution is shown to be efficient to compute and converge under very generic conditions.

Due to the uniqueness of a minimum-norm element, we obtain w ˆ = w ˜. □.

As per the international norms, a minimum of 100 m3 per capita per year is necessary to meet domestic requirements alone and 1000 m3 per capita per year for food self-sufficiency.