Doubly stochastic matrix plays an essential role in several areas such as statistics and machine learning. In this paper we consider the optimal approximation of a square set doubly matrices. A structured BFGS method is proposed to solve dual primal problem. The resulting algorithm builds curvature information into diagonal components true Hessian, so that it takes only additional linear cost o...

(4) Mesh. These surfaces are less well known. They are saddle-shaped everywhere, thus their (integral) Gaussian curvature is negative, and their geometry is hyperbolic. They are confined between two planes, and can be described as porous lamellae. They can adopt constant mean curvature (ref. 1) , although the Gaussian curvature varies over the surface. Mesh surfaces are not minimal surfaces, si...

in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.

The \L{curve" is a plot (in ordinary or doubly{logarithmic scale) of the norm of (Tikhonov{) regularized solutions of an ill{posed problem versus the norm of the residuals. We show that the popular criterion of choosing the parameter corresponding to the point with maximal curvature of the L{curve does not yield a convergent regularization strategy to solve the ill{posed problem. Nevertheless, ...

We find a quartic example of a smooth embedded negatively curved surface in R homeomorphic to a doubly punctured torus. This constitutes an explicit solution to Hadamard’s problem on constructing complete surfaces with negative curvature and Euler characteristic in R. Further we show that our solution has the optimal degree of algebraic complexity via a topological classification for smooth cub...

We present preliminary results from Fermilab E791 on D 0 ? D 0 mixing and doubly Cabibbo-suppressed decays (DCSD) of the D 0 and D + mesons. The time dependence of the wrong-sign signal (D 0 ! K + ?) is used to establish separate limits on DCSD and mixing. From one third of our data we obtained r mix < 0:47%, r DCSD < 2:7% at the 90% conndence level.

‎let $m^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de sitter space or an anti-de‎ ‎sitter space‎, ‎$s$ and $k$ be the squared norm of the second‎ ‎fundamental form and gauss-kronecker curvature of $m^n$‎. ‎if $s$ or‎ ‎$k$ is constant‎, ‎nonzero and $m^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

Three-dimensional transient deformations of clamped flat and doubly curved polycarbonate (PC) panels impacted by a rigid smooth hemispherical-nosed circular cylinder have been numerically studied by the finite-element (FE) method to delineate effects of the panel radius of curvature to its thickness ratio on their penetration resistance. The PC is modeled as thermoelastoviscoplastic with the ef...