We establishe the polynomial convergence of a new class of pathfollowing methods for linear complementarity problems (LCP). Namely, we show that the predictor-corrector methods based on the L2 norm neighborhood. Mathematics Subject Classification: 90C33, 65G20, 65G50

In this paper, a new predictor-corrector method is proposed for solving sufficient linear complementarity problems (LCP) with an infeasible starting point. The method generates a sequence of iterates in a wide and symmetric neighborhood of the infeasible central path of the LCP. If the starting point is feasible or close to being feasible, then an ε-approximate solution is obtained in at most O...

Diagonal updating scheme is among the cheapest Newton-like methods for solving system of nonlinear equations. Nevertheless, the method has some shortcomings. In this paper, we proposed an improved matrix-free secant updating scheme via line search strategies, by using the steps of backtracking in the Armijo-type line search as a step length predictor and Wolfe-Like condition as corrector. Our a...

This note points out an error in the local quadratic convergence proof of the predictorcorrector interior-point algorithm for solving the semidefinite linear complementarity problem based on the Alizadeh–Haeberly–Overton search direction presented in [M. Kojima, M. Shida, and S. Shindoh, SIAM J. Optim., 9 (1999), pp. 444–465]. Their algorithm is slightly modified and the local quadratic converg...

This paper proposes a globally convergent predictor-corrector infeasible-interiorpoint algorithm for the monotone semide nite linear complementarity problem using the AlizadehHaeberly-Overton search direction, and shows its quadratic local convergence under the strict complementarity condition.

The Seventh-day Adventist Church in India has been commissioned by God to be a witness the 1.3 billion people of whom 80% are from Hindu background. After hundred years, Southern Asian Division membership 1.5 million people. There many reasons celebrate success India, particularly school system and health care provided institutions. However, organization that is responsible for leading South As...

In this paper, we discuss the development of an Interior Point Method (IPM) solver for Second Order Cone Programming optimization problems that is capable of producing customized ANSI-C code for embedded, real-time applications. The customized code is generated for a given problem structure and makes use of no dynamic memory allocation, minimizes branching, wastes no mathematical or logical com...

OF THE DISSERTATION Exploring Entity Resolution for Multimedia Person Identification By Liyan Zhang Doctor of Philosophy in Computer Science University of California, Irvine, 2014 Professor Sharad Mehrotra, Chair The explosion of massive media data induced by the proliferation of digital cameras, mobile devices as well as the emergence of online media websites, has led us into the era of big da...

Gene expression is mediated through interaction between cis regulatory elements and its cognate transcription factors. Cis regulatory elements are defined as non-coding DNA sequences that provide the binding sites for transcription factors and are clustered in the upstream region of genes. ACGT cis regulatory element is one of the important cis regulatory elements found to be involved in divers...

3 Jacob, T. MI., E. Ohtsuka, M. W. Moon, S. A. Narang, and H. G. Khorana, Federation Proc., 23, 531 (1964). 4Jacob, T. M., and H. G. Khorana, Abstr. Sixth Internat. Congr. Biochem., 1, 62 (1964). 5 Most of the abbreviations are as in current use in J. Biol. Chem.: d-(TTC)3 is abbreviation for the nonanucleotide d-TpTpCpTpTpCpTpTpC, bearing no phosphomonoester end group, and similarly, d-(TTC)2 ...