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In this paper , we propose a modified Polak – Ribì ere – Polyak (PRP) conjugate gradient method. An attractive property of the proposed method is that the direction generated by the method is always a descent direction for the objective function. This property is independent of the line search used. Moreover , if exact line search is used , the method(More)
This paper studies convergence properties of regularized Newton methods for minimizing a convex function whose Hessian matrix may be singular everywhere. We show that if the objective function is LC 2 , then the methods possess local quadratic convergence under a local error bound condition without the requirement of isolated nonsingular solutions. By using(More)
Recently, Li et al. (Comput. Optim. Appl. 26:131–147, 2004) proposed a regularized Newton method for convex minimization problems. The method retains local quadratic convergence property without requirement of the singularity of the Hessian. In this paper, we develop a truncated regularized Newton method and show its global convergence. We also establish a(More)
This paper is concerned with the open problem whether BFGS method with inexact line search converges globally when applied to nonconvex uncon-strained optimization problems. We propose a cautious BFGS update and prove that the method with either Wolfe-type or Armijo-type line search converges globally if the function to be minimized has Lipschitz continuous(More)
BACKGROUND & OBJECTIVE At present there is no serological parameter with high sensitivity and specificity to diagnose colorectal cancer. This study aimed at establishing a serum protein fingerprinting technique coupled with a pattern-matching algorithm to distinguish colorectal cancer from benign colorectal diseases and healthy people. METHODS Preliminary(More)
We isolated and characterized the Xenopus translocon-associated protein XTRAP-gamma, one of four subunits of the translocon-associated protein complex. TRAP has been proposed to aid the translocation of nascent polypeptides into the lumen of the endoplasmic reticulum, but this has not been demonstrated until now. XTRAP-gamma was specifically expressed in(More)
A sensitive fluorimetric method for the determination of nitrogen oxides (NO(x): NO+NO(2)) in air is described. Nitrogen dioxide (nitrogen monoxide was previously converted to nitrogen dioxide in oxide tubes) was aspirated through a fritted glass bubble at a flow rate of 500 ml min(-1) for 120 min and fixed as nitrite, using 0.1 N NaOH as a trapping(More)
Since 1965, there has been significant progress in the theoretical study on quasi-Newton methods for solving nonlinear equations, especially in the local convergence analysis. However, the study on global convergence of quasi-Newton methods is relatively fewer, especially for the BFGS method. To ensure global convergence, some merit function such as the(More)