New methods for linear inequalities

Yair Censor; Tommy Elfving

doi:10.1016/0024-3795(82)90149-5

New methods for linear inequalities

Yair Censor, Tommy Elfving

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The iterative method of Cimmino for solving linear equations is generalized to linear inequalities. We also present a Richardson-type iterative method for solving the inequality problem, which includes the generalized Cimmino scheme. Convergence proofs are provided.

Original language	English
Pages (from-to)	199-211
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	42
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(82)90149-5
State	Published - Feb 1982

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(82)90149-5

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title = "New methods for linear inequalities",

abstract = "The iterative method of Cimmino for solving linear equations is generalized to linear inequalities. We also present a Richardson-type iterative method for solving the inequality problem, which includes the generalized Cimmino scheme. Convergence proofs are provided.",

author = "Yair Censor and Tommy Elfving",

year = "1982",

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doi = "10.1016/0024-3795(82)90149-5",

language = "English",

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journal = "Linear Algebra and Its Applications",

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AU - Elfving, Tommy

PY - 1982/2

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AB - The iterative method of Cimmino for solving linear equations is generalized to linear inequalities. We also present a Richardson-type iterative method for solving the inequality problem, which includes the generalized Cimmino scheme. Convergence proofs are provided.

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

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New methods for linear inequalities

Abstract

ASJC Scopus subject areas

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