The teaching experience of the revised simplex method in matrix notation on the blackboard leads us to prepare a visualization alternative, useful for the constituting part of the education liturgy. According to our approach the educator does not spend anymore valuable time on boring calculations while the student understands complex mathematical concepts. Our courseware has unique features lik...

This paper introduces three novel techniques for updating the invertible representation of the basis matrix when solving practical sparse linear programming (LP) problems using a high performance implementation of the dual revised simplex method, being of particular value when suboptimization is used. Two are variants of the product form update and the other permits multiple Forrest-Tomlin upda...

The primary mission and purpose of the Board is to enforce public policy related to the safe and effective practice of nursing in the interest of public welfare. As a regulatory agency of state government, the Board of Nursing accomplishes this mission as authorized by Kentucky Revised Statutes (KRS) Chapter 314—The KENTUCKY NURSING LAWS and attendant administrative regulations. In accomplishin...

We present density functional theory calculations of the geometry, adsorption energy and electronic structure of thiophene adsorbed on Cu(111), Cu(110) and Cu(100) surfaces. Our calculations employ dispersion corrections and self-consistent van der Waals density functionals (vdW-DFs). In terms of speed and accuracy, we find that the dispersion-energy-corrected Revised Perdue-Burke-Enzerhof (RPB...

The revised simplex method is often the method of choice when solving large scale sparse linear programming problems, particularly when a family of closely-related problems is to be solved. Each iteration of the revised simplex method requires the solution of two linear systems and a matrix vector product. For a significant number of practical problems the result of one or more of these operati...

OBJECTIVES Negative affects like depression, anxiety and stress are frequently observed in patients with fibromyalgia (FMS). Understanding the association between FMS and negative affects is likely to help in deciding the choice of treatment. The aim of this study was to determine the correlation between the severity of FMS with the severity of depression, anxiety and stress. METHODS Sixty pa...

The determination of the factors influencing the effectiveness of algorithm visualization poses an interesting research question. In this paper, we present the results of a longitude empirical study regarding this question. The study was based on an evaluation of the Visual LinProg educational tool inside classrooms. Visual LinProg is a web-based educational tool, which solves linear programmin...

Linear Programming is a significant and well-studied optimization methodology. Simplex type algorithms have been widely used in Decision Support Systems. The computation of the basis inverse is a crucial step in simplex type algorithms. In this paper, we review and compare three basis update methods. We incorporate these methods on the exterior and the revised simplex algorithm in order to high...

In this paper, we describe a method to enhance the FTRAN and BTRAN operations in the revised simplex algorithm by using a reduced basis matrix defined by basic columns and nonbasic rows. This submatrix of the standard basis matrix is potentially much smaller, but may change its dimension dynamically from iteration to iteration. For the classical product form update (“eta update”), the idea has ...