The problem of obtaining a minimum L 1e solution of an underdetermined system of consistent linear equations is reduced to a linear programming problem. A modified simplex algorithm is then described. In this algorithm no conditions are imposed on the coefficient matrix, minimum computer storage is required and no artificial variables are needed. The algorithm is a simple and fast one. Numerical results are given.Peer reviewed: YesNRC publication: Ye
Two new algorithms for solving the overdetermined system of linear inequalities Ca > 0 are presented...
This program calculates the strict Chebyshev solution of an overdetermined system of linear equation...
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In a previous paper by the author, an algorithm for calculating the L1 solution of an overdetermined...
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A simplex algorithm for the one-sided Chebyshev solution form above of overdetermined systems of lin...
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An $ O(mn^2)$ direct algorithm to compute a solution of a system of m linear equations Ax=b with n v...
An algorithm for computing the Chebyshev solution of a system of inconsistent linear equations is gi...
AbstractAn algorithm for computing solutions of overdetermined systems of linear equations in n real...
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its a...
The study deals with systems of linear algebraic equations and algorithms of their solution with a g...
A method for calculating the strict Chebyshev solution of overdetermined systems of linear equations...
A simplex algorithm for solving the minimum fuel problem for linear discrete control systems is desc...
Two new algorithms for solving the overdetermined system of linear inequalities Ca > 0 are presented...
This program calculates the strict Chebyshev solution of an overdetermined system of linear equation...
In this paper we consider application of linear programming in solving optimization problems with co...
In a previous paper by the author, an algorithm for calculating the L1 solution of an overdetermined...
Two algorithms are here presented. The first one is for obtaining a Chebyshev solution of an overdet...
A simplex algorithm for the one-sided Chebyshev solution form above of overdetermined systems of lin...
This paper explores the nature and application of minimal-support solutions of underdetermined syste...
AbstractWe present a condition on the matrix of an underdetermined linear system which guarantees th...
An $ O(mn^2)$ direct algorithm to compute a solution of a system of m linear equations Ax=b with n v...
An algorithm for computing the Chebyshev solution of a system of inconsistent linear equations is gi...
AbstractAn algorithm for computing solutions of overdetermined systems of linear equations in n real...
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its a...
The study deals with systems of linear algebraic equations and algorithms of their solution with a g...
A method for calculating the strict Chebyshev solution of overdetermined systems of linear equations...
A simplex algorithm for solving the minimum fuel problem for linear discrete control systems is desc...
Two new algorithms for solving the overdetermined system of linear inequalities Ca > 0 are presented...
This program calculates the strict Chebyshev solution of an overdetermined system of linear equation...
In this paper we consider application of linear programming in solving optimization problems with co...
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