The Conjugate Gradient Method is a numerical optimization technique that finds the optimal solution by focusing on coefficient conjugate. This paper presents new coefficients conjugate gradient method for removing impulse noise from images, which based quadratic function and proven to be globally convergent. Results show it an effective image restoration.

The n-tuple of Laplacian characteristic values of a graph is majorized by the conjugate sequence of its degrees. Using that result we find a collection of general inequalities for a number of Laplacian indices expressed in terms of the conjugate degrees, and then with a maximality argument, we find tight general bounds expressed in terms of the size of the vertex set n and the average degree dG...

A tripyrrole peptide-Hoechst conjugate (FPH-1) has been designed which recognizes nine dA/dT base pair A/T rich dsDNA sequences at subnanomolar concentrations and complexes its targets at near diffusion controlled rates to form a fluorescent product. Spectrofluorometric titrations show the stoichiometry of the complex to be (FPH-1)(2):dsDNA. Spectrofluorometric titrations were also employed to ...

In [1] (Hybrid Conjugate Gradient Algorithm for Unconstrained Optimization J. Optimization. Theory Appl. 141 (2009) 249 - 264), an efficient hybrid conjugate gradient algorithm, the CCOMB algorithm is proposed for solving unconstrained optimization problems. However, the proof of Theorem 2.1 in [1] is incorrect due to an erroneous inequality which used to indicate the descent property for the s...

Nonlinear conjugate gradient method is well known in solving large-scale unconstrained optimization problems due to it’s low storage requirement and simple to implement. Research activities on it’s application to handle higher dimensional systems of nonlinear equations are just beginning. This paper presents a Threeterm Conjugate Gradient algorithm for solving Large-Scale systems of nonlinear e...