This paper addresses the positive semi-deffnite procrustes problem (PSDP). The PSDP corresponds to a least squares over set of symmetric and matrices. These kinds problems appear in many applications such as structure analysis, signal processing, among others. A non-monotone spectral projected gradient algorithm is proposed obtain numerical solution for PSDP. employs Zhang Hager's technique com...

a class of new methods based on a septic non-polynomial spline function for the numerical solution one-dimensional bratu's problem are presented. the local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. the inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. associated bound...