ABS methods

Known as: ABS method 
ABS methods, where the acronym contains the initials of Jozsef Abaffy, Charles G. Broyden and Emilio Spedicato, have been developed since 1981 to… (More)
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Review
2010
Review
2010
ABS methods are a large class of algorithms for solving continuous and integer linear algebraic equations, and nonlinear… (More)
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Review
2007
Review
2007
This paper gives a survey of the theory and practice of nonlinear ABS methods including various types of generalizations and… (More)
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2006
2006
We show how to update the general solution of linear Diophantine systems obtained by the integer ABS method when the coefficient… (More)
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1996
1996
In this paper we present a class of ABS methods for solving the KT equations. We compare several methods in this class with the… (More)
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1995
1995
In this paper, we consider the application of the optimally stable ABS subclass to nonlinear underdetermined systems. By a… (More)
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1994
1994
In this paper, we present a new kind of ABS methods, called row update ABS methods, for solving systems of nonlinear equations… (More)
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1994
1994
ABS methods have been introduced by Abaffy, Broyden and Spedicato (1984) initially for solving general linear systems and have… (More)
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1992
1992
This paper studies the minimum norm correction methods for solving a linear system of equations which can be viewed as an… (More)
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1991
1991
In this paper, we establish a multi-step nonlinear ABS algorithm for solving systems of nonlinear equations. The new algorithm… (More)
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1987
1987
SummaryIn this paper we consider an extension to nonlinear algebraic systems of the class of algorithms recently proposed by… (More)
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