Sentence examples for minimum norm for from inspiring English sources

Find the least square solutions with the minimum norm for the following class of operator equation: Bx = b.

In this paper, we derive the explicit expressions of least-squares Hermitian solution with the minimum norm for the complex matrix equations ((AXB,CXD =(E,F)).

Individually, those small sources were not harmful, but the accumulation of their pollution exceeded the regulative minimum norms for environmental quality.

If we put h ( x ) = 1 2 ∥ x ∥ 2 in Theorem 4.3, then V = I, and we have the following minimum norm of common solutions for (MSSMVIP-1) and Fix ( T ).

In this work, we study minimum norm solutions for n=1 and n=2, namely L 1 and L 2 norms.

We also discuss minimum norm solutions for approximating feature vectors from biohashes and present L 2 and L 1 norm minimization for this problem.

For our special case, our results can be reduced to the following problems: the unique minimal norm solution of the multiply sets split monotonic variational inclusion problems; the minimum norm solutions for the multiple sets split system of mixed type equilibria problem; the minimum norm solution of the system of mixed type equilibria problem.

For the special case of our results, our results can be reduced to the following problems: the unique minimal norm solution of the multiply sets split monotonic variational inclusion problems; the minimum norm solutions for the multiple sets split system of mixed type equilibrium problem; the minimum norm solution of the system of the mixed type equilibria problem.

Figure 13 Preliminary experiment: (a) Optimal minimum norm matrix inverse for A -scan processing; (b) 3D-LS solution for A -scan processing.

(a) 3D-LS solution; (b) optimal minimum norm matrix inverse for A-scan processing.

It has a good convergence characteristic and converges to the minimum norm solution, even for the singular problem [13].