ABS methods and ABSPACK for linear systems and optimization: A review
نویسندگان
چکیده
منابع مشابه
ABS methods and ABSPACK for linear systems and optimization: A review
ABS methods are a large class of methods, based upon the Egervary rank reducing algebraic process, rst introduced in 1984 by Aba y, Broyden and Spedicato for solving linear algebraic systems, and later extended to nonlinear algebraic equations, to optimization problems and other elds; software based upon ABS methods is now under development. Current ABS literature consists of about 400 papers. ...
متن کاملSe p 20 02 ABS Methods and ABSPACK for Linear Systems and Optimization , a Review
ABS methods are a large class of methods, based upon the Egervary rank reducing algebraic process, first introduced in 1984 by Abaffy, Broyden and Spedicato for solving linear algebraic systems, and later extended to nonlinear algebraic equations, to optimization problems and other fields; software based upon ABS methods is now under development. Current ABS literature consists of about 400 pap...
متن کاملAbs Algorithms for Linear Equations and Abspack
We present the main results obtained during a research on ABS methods in the framework of the project Analisi Numerica e Matematica Computazionale. 1. – The ABS algorithms. ABS algorithms were introduced by Abaffy, Broyden and Spedicato (1984), to solve linear equations first in the form of the basic ABS class, later generalized as the scaled ABS class and applied to linear least squares, nonli...
متن کاملABS methods for continuous and integer linear equations and optimization
ABS methods are a large class of algorithms for solving continuous and integer linear algebraic equations, and nonlinear continuous algebraic equations, with applications to optimization. Recent work by Chinese researchers led by Zunquan Xia has extended these methods also to stochastic, fuzzy and infinite systems, extensions not considered here. The work on ABS methods began almost thirty year...
متن کاملAbs Algorithms for Linear Systems and Optimization: a Review and a Bibliography
In this paper, we 1. The scaled ABS class. ABS methods have been introduced by Abaffy, Broyden and Spedicato (1984), in a paper where the solution of linear algebraic equations was considered via the so called ABS unscaled or basic class. That class was later generalized to the so called scaled ABS class and then applied also to the solution of linear least squares, nonlinear algebraic equation...
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ژورنال
عنوان ژورنال: Quarterly Journal of the Belgian, French and Italian Operations Research Societies
سال: 2003
ISSN: 1619-4500
DOI: 10.1007/s10288-002-0004-0