Efficient computation of matrix elements of generic Slater determinants

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Development of a Generic Risk Matrix to Manage Project Risks

A generic risk matrix is presented for use identifying and assessing project risks quickly and cost effectively. It assists project managers with few resources to perform project risk analysis. The generic risk matrix (GRM) contains a broad set of risks that are categorized and ranked according to their potential impact and probability of occurrence. The matrix assists PMs in quickly identifyin...

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Effective computation of matrix elements between polynomial basis functions

Two methods of evaluating matrix elements of a function in a polynomial basis are considered: the expansion method, where the function is expanded in the basis and the integrals are evaluated analytically, and the numerical method, where the integration is performed directly using numerical quadrature. A reduced grid is proposed for the latter which makes use of the symmetry of the basis. Compa...

Automated computation of spin- and colour-correlated Born matrix elements

I report on an implementation of an algorithm for the automated numerical calculation of spinand colour-correlated Born matrix elements in QCD. These spinand colour-correlated matrix elements are needed for NLO calculations in combination with the subtraction method. Both massless and massive quarks are considered. There are no restrictions on the number of external particles. As a trivial sub-...