Consider the linear system of equations of the form Ax = b where the coefficient matrix A ∈ Rn×n is nonsingular, large, sparse and nonsymmetric and also x, b ∈ R. We refer to this system as the original system. An explicit preconditioner M for this system is an approximation of matrix A−1. In [1], Lou presented the Backward Factored INVerse or BFINV algorithm which computes the inverse factoriz...

Sonja Perren, Jacobs Center for Productive Youth Development, University of Zürich, Switzerland Lucie Corcoran, School of Education, Trinity College Dublin, Ireland Helen Cowie, Faculty of Health and Medical Sciences, University of Surrey, United Kingdom Francine Dehue, Department of Psychology, Open University of the Netherlands, Heerlen, the Netherlands D’Jamila Garcia, Instituto Universitári...

The textit{QIF}  (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ}  factorization. The  WZ factorization can be faster than the textit{LU} factorization  because,  it performs the simultaneous evaluation of two columns or two rows. Here, we present a  method for computing the real and integer textit{WZ} and  textit{ZW} factoriz...

BACKGROUND AND AIMS To investigate the prevalence and pattern of PC and BCP mutations and their clinical significance in patients with genotype D chronic hepatitis B infection in the Fars province of southern Iran. MATERIALS AND METHODS From January 2007 to March 2008, we evaluated 44 patients with chronic hepatitis B infection who were referred to our hepatology clinics affiliated with the S...

The dog had a history of abdominal pain and vomiting of five days duration. An umbilical hernia had been surgically repaired years earlier. The dog was depressed, lethargic, and had painful palpations of the cranial abdomen. Body temperature (39"C), heart rate (1 10 bpm) and respiratory rate (44 breathdmin.) were normal. Heart sounds were clearly audible on the right side and muffled on the lef...

In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structur...

Practical decision situations are becoming increasingly complicated. It is common for a person to select or rank alternatives with respect to multiple attributes, and the TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) method, which is one of the first multiple attribute decision making (MADM) methods based on prospect theory, has received more attention d...

A logical foundation for the intersection and union types assignment system (IUT) is proposed. We present Intersection-Union Logic (IUL) as an extension of Intersection Logic (IL) by adding rules for union and we examine some properties of this system and its relation with intuitionistic minimal logic.

classes of‎ ‎abaffy-broyden-spedicato (abs) methods have been introduced for‎ ‎solving linear systems of equations‎. ‎the algorithms are powerful methods for developing matrix‎ ‎factorizations and many fundamental numerical linear algebra processes‎. ‎here‎, ‎we show how to apply the abs algorithms to devise algorithms to compute the wz and zw‎ ‎factorizations of a nonsingular matrix as well as...

classes of‎ ‎abaffy-broyden-spedicato (abs) methods have been introduced for‎ ‎solving linear systems of equations‎. ‎the algorithms are powerful methods for developing matrix‎ ‎factorizations and many fundamental numerical linear algebra processes‎. ‎here‎, ‎we show how to apply the abs algorithms to devise algorithms to compute the wz and zw‎ ‎factorizations of a nonsingular matrix as well as...