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Combined with Algorithm 1, the Lagrangian multipliers can be updated.

By estimating this parameter locally, the multipliers can be implicitly updated.

The proposed multipliers can be used as the kernel architecture for the operations of exponentiation, inversion, and division.

Terms not depending on R and leading scalar multipliers can be excluded because they won't affect the minimization function.

It turns out that all Schur multipliers can be obtained in this way (see Theorem 1.1.1 below).

Each one of the adders, subtractors, and multipliers can be converted into equivalent number of Add(1,1).

In our previous studies, we have shown that silicon photo-multipliers can be used as single photon detectors in a RICH counter (Korpar et al., 2009, 2010 [1,2]).

An accumulator of p, instead of a multiplier, can be employed to determine pv as the governing scanning operation accesses addresses in a specific order, and the parameter c is obtained by a modulo-p counter instead of a divider.

The general Lagrange multipliers, therefore, can be identified λ ̲ = − 1, λ ¯ = − 1. (13).

In order to solve optimization problems with equality constraints, the Lagrange multipliers method can be applied.

The iteration functions, which is local fractional continuous, is obtained easily within the fractal Lagrange multipliers, which can be optimally determined by the local fractional variational theory [32].