AbstractA modification of the revised simplex algorithm is considered where every step involves O(m2) arithmetical operations. The error analysis and the bit-complexity estimates presented show very strong stability of the modified algorithm. The same modification can be included into some other linear algebra algorithms
Linear programming is perhaps the most useful tool in optimization, much of it's success owed to the...
Several variations of index selection rules for simplex-type algorithms for linear programming, like...
The simplex method, created by George Dantzig, optimally solves a linear program by pivoting. Dantzi...
AbstractA modification of the revised simplex algorithm is considered where every step involves O(m2...
AbstractThis paper deals with the rounding-error analysis of the simplex method for solving linear-p...
The thesis begins by giving background in linear programming and Simplex methods. Topics covered inc...
The simplex method is one way of solving a linear programming problem (LP-problem). The simplex meth...
The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the m...
AbstractStandard implementations of the Simplex method have been shown to be subject to computationa...
Includes bibliographical references (leaf 6).We give simple examples of linear programs which use ma...
In my thesis I tried to describe the problems of choice of a pivot in the simplex method. The first ...
Based on the pivot selection rule [Anstreicher, K.M. and Terlaky, T., 1994, A monotonic build-up sim...
AbstractWe extend a result of Klee and Minty by showing that the Simplex Algorithm with the pivot ru...
We propose to classify the power of algorithms by the complexity of the problems that they can be us...
Many algorithms of solving linear programs are based on the revised simplex method. The product form...
Linear programming is perhaps the most useful tool in optimization, much of it's success owed to the...
Several variations of index selection rules for simplex-type algorithms for linear programming, like...
The simplex method, created by George Dantzig, optimally solves a linear program by pivoting. Dantzi...
AbstractA modification of the revised simplex algorithm is considered where every step involves O(m2...
AbstractThis paper deals with the rounding-error analysis of the simplex method for solving linear-p...
The thesis begins by giving background in linear programming and Simplex methods. Topics covered inc...
The simplex method is one way of solving a linear programming problem (LP-problem). The simplex meth...
The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the m...
AbstractStandard implementations of the Simplex method have been shown to be subject to computationa...
Includes bibliographical references (leaf 6).We give simple examples of linear programs which use ma...
In my thesis I tried to describe the problems of choice of a pivot in the simplex method. The first ...
Based on the pivot selection rule [Anstreicher, K.M. and Terlaky, T., 1994, A monotonic build-up sim...
AbstractWe extend a result of Klee and Minty by showing that the Simplex Algorithm with the pivot ru...
We propose to classify the power of algorithms by the complexity of the problems that they can be us...
Many algorithms of solving linear programs are based on the revised simplex method. The product form...
Linear programming is perhaps the most useful tool in optimization, much of it's success owed to the...
Several variations of index selection rules for simplex-type algorithms for linear programming, like...
The simplex method, created by George Dantzig, optimally solves a linear program by pivoting. Dantzi...