3 papers
math.OC2022
Solution of a NxN System of Linear algebraic Equations: 1 -- The Steepest Descent Method Revisited
Vilas Patwardhan
This is the first in a series of papers which deal with the development of novel methods for solving a system of linear algebraic equations with a time complexity lower than existi…
math.MG2022
Harmonic Center of an n-Simplex: Some Properties
Vilas Patwardhan
A simplex in n dimensions is defined by the usual (n+1) linear inequality constraints in n dimensions. Here we consider simplexes which are bounded sets. The harmonic center has be…
math.MG2020
Harmonic Center of a Closed Convex Polytope: Definition, Calculation and Some Properties
Vilas Patwardhan
A closed convex polytope in n dimensions defined by m linear inequality constraints is considered. If L is a straight line drawn in any direction from any feasible point P, then in…