We propose a class of quadratic optimization problems whose exact optimal objective values can be computed by their completely positive cone programming relaxations. The objective function can be any quadratic form. The constraints of each problem are described in terms of quadratic forms with no linear terms, and all constraints are homogeneous equalities, except one inhomogeneous equality whe...

This paper is based largely on personal observations of normal and stenosed mitral valves. Some aspects that are new and some that are not in keeping with present-day concepts will be discussed. The mitral valve is a unit that consists of a so-called fibrous "ring," of two unequal cusps, of two sets of papillary muscles, and of numerous chorde tendinee. When two triangular leaflets are attached...

Second-order cone programming (SOCP) is the problem of minimizing linear objective function over cross-section of second-order cones and an a ne space. Recently this problem gets more attention because of its various important applications including quadratically constrained convex quadratic programming. In this paper we deal with a primal-dual path-following algorithm for SOCP to show many of ...

n a recent paper [l], Van Blade1 discussed in detail the behavior I of fields j . ' and surface charges near singularities of metallic struc$res, such as a hollow circular cylinder, a circulai cone, a thin prolate spheroid, and a uniformly charged segment. At times, the reasoning in [I] leads to conclusions not as definitive as one might wish because of the various approximations introduced, su...

Characterizing the shape and evolution of pulsar radio emission beams is important for understanding the observed emission. The various attempts by earlier workers investigating beam shapes have resulted in widely different conclusions. Using a carefully selected subset of the recently published multifrequency polarimetry observations of 300 radio pulsars (Gould & Lyne, 1998), we attempt to mod...

PURPOSE The purpose of this study is to determine the topography of bleaching in rods, middle/long-wavelength (M/L) and short-wavelength (S) cones in the macaque retina by using a modified retinal densitometry technique. METHODS A modified commercial digital fundus camera system was used to measure continuously the intensity of the light reflectance during bleaching with band pass lights in t...