lard, Faster inversion and other black box matrix computations using efficient block

This study is focused on fabrication and characterization of mixed matrix poly ether sulfone based nanofiltration membrane by phase inversion method. The effect of different amounts of Ilmenite (FeTiO3) particles as inorganic filler additive in the casting solution on physic-chemical characteristics of membranes was studied. Scanning electron microscopy, surface analysis, water content, contact...

We study the intensity-dependent and nonresonant Jaynes-Cummings Hamil-tonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigenvalues, time evolution matrix and the population inversion matrix factor.

We compute the inverse of a specific infinite-dimensional matrix, thus unifying a number of previous matrix inversions. Our inversion theorem is applied to derive a number of summation formulas of hypergeometric type.

In this paper, we consider the generalized degenerate Bernoulli/Euler polynomial matrices and study some algebraic properties for them. particular, focus our attention on matrix-inversion formulae involving these matrices. Furthermore, provide analytic so-called Pascal matrix of first kind, factorizations Euler matrix.

We present a contrast source inversion (CSI) algorithm using a finite-difference (FD) approach as its backbone for reconstructing the unknown material properties of inhomogeneous objects embedded in a known inhomogeneous background medium. Unlike the CSI method using the integral equation (IE) approach, the FD-CSI method can readily employ an arbitrary inhomogeneous medium as its background. Th...

Gaussian processes are a limit extension of neural networks. Standard Gaussian process techniques use a squared exponential covariance function. Here, the use of truncated covariances is proposed. Such cov-ariances have compact support. Their use speeds up matrix inversion and increases precision. Furthermore they allow the use of speedy, memory eecient Toeplitz inversion for high dimensional g...

An inversion-free iterative algorithm is presented for solving nonlinear matrix equation with a stepsize parameter t. The existence of the maximal solution is discussed in detail, and the method for finding it is proposed. Finally, two numerical examples are reported that show the efficiency of the method. Keywords—Inversion-free method, Hermitian positive definite

We presented a separation based optimization algorithm which, rather than optimization the entire variables altogether, This would allow us to employ: 1) a class of nonlinear functions with three variables and 2) a convex quadratic multivariable polynomial, for minimization of reprojection error. Neglecting the inversion required to minimize the nonlinear functions, in this paper we demonstrate...