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Applications of Linear Programming to Numerical Analysis

Data up to Jan 2025

Published1968
Citations74
References56

Total Citations Per Year

Abstract

References (56)

Linear Programming and Extensions

1963 • 5,853 citations

Linear Programming and Extensions

1963 • 2,647 citations

The Numerical Treatment of Differential Equations

1960 • 1,507 citations

Information Processing

1960 • 958 citations

Management Models and Industrial Applications of Linear Programming

1962 • 616 citations

An Improved Algorithm for Discrete $l_1 $ Linear Approximation

1973 • 599 citations

Approximation of functions

2006 • 553 citations

Recent Advances in Mathematical Programming

1964 • 412 citations

Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides

1964 • 390 citations

Functional Analysis and Numerical Mathematics

1968 • 367 citations

Functional Analysis and Numerical Mathematics

1966 • 316 citations

Linear Programming Techniques for Regression Analysis

1959 • 303 citations

Note on Jordan elimination, linear programming and Tchebycheff approximation

1960 • 159 citations

System engineering handbook

1965 • 141 citations

Algorithms for bestL 1 andL ∞ linear approximations on a discrete set

1966 • 134 citations

On the Solution Set of a Linear System with Inaccurate Coefficients

1965 • 119 citations

The Cauchy Problem for the Heat Equation

1967 • 87 citations

Optimierungsaufgaben

1966 • 79 citations

An Algorithm for Scaling Matrices

1962 • 78 citations

An Application of Linear Programming to Curve Fitting

1958 • 63 citations

A construction of nonnegative approximate quadratures

1967 • 60 citations

A Note on Curve Fitting with Minimum Deviations by Linear Programming

1961 • 59 citations

Advances in Orthonormalizing Computation

1961 • 51 citations

Numerical Analysis: An Introduction

1968 • 50 citations

On the Best Linear Chebyshev Approximation

1967 • 50 citations

A finite algorithm for the solution of consistent linear equations and inequalities and for the Tchebycheff approximation of inconsistent linear equations

1958 • 48 citations

Three circle theorems in partial differential equations and applications to improperly posed problems

1964 • 47 citations

Some Problems in Numerical Analytic Continuation

1965 • 39 citations

A Survey of Methods for Rational Approximation, with Particular Reference to a New Method Based on a Forumla of Darboux

1963 • 34 citations

Formulation of Linear Programs in Analysis. I: Approximation Theory

1968 • 28 citations

A Multiple Purpose Orthonormalizing Code and its Uses

1954 • 27 citations

Chebyshev approximations of a function and its derivatives

1964 • 26 citations

Convergence acceleration from the point of view of linear programming

1965 • 25 citations

Admissible Solutions of Linear Systems with Not Sharply Defined Coefficients

1965 • 24 citations

Algorithms for Chebyshev Approximations Using the Ratio of Linear Forms

1960 • 23 citations

Methods—Old and New—for Solving the Tchebycheff Approximation Problem

1964 • 23 citations

Non-Linear Regression with Minimal Assumptions

1962 • 23 citations

The Numerical Solution of Some Biharmonic Problems by Mathematical Programming Techniques

1966 • 20 citations

The Numerical Solution of the Dirichlet Problem for Laplace’s Equation by Linear Programming

1964 • 19 citations

Error Estimates for Some Unstable Continuation Problems

1964 • 17 citations

Numerical solution of the first biharmonic problem by linear programming

1963 • 16 citations

A Note on Numerical Procedures for Approximation by Spline Functions

1966 • 15 citations

Das Austauschverfahren der linearen Tschebyscheff‐Approximation bei nicht erfüllter Haarscher Bedingung

1961 • 15 citations

Some notes on computer research in Eastern Europe

1959 • 14 citations

Numerical Experiments on the Solution of Some Biharmonic Problems by Mathematical Programming Techniques

1967 • 9 citations

A NOTE ON RATIONAL FUNCTION APPROXIMATION

1959 • 8 citations

Chebyshev solution of large linear systems

1967 • 7 citations

Numerical Efficiency Profile Functions 1)

1962 • 5 citations

Linear Programming and Approximation Problems

1961 • 4 citations

Mathematical Programming

1962 • 4 citations

Backward continuation in time by numerical means of the solution of the heat equation in a rectangle

1960 • 3 citations

Linear program approach to linear differential problems

1964 • 2 citations

Some Computational Aspects of the Uniform Approximation of a Function and Its Derivative

1965 • 2 citations

Beziehungen zwischen Defektabschätzungen und, Linear programming' bei linearen Gleichungssystemen

1960 • 1 citations

Methods for the solution of partial differential equations on digital computers.

1959 • 1 citations

Simultaneous Equations and Linear Programming

1960 • 1 citations

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