Add to ORKGWorking in a semi-constructive logical system that supports the extraction of concurrent programs, we extract a program inverting non-singular real valued matrices from a constructive proof based on Gaussian elimination. Concurrency is used for efficient pivoting, that is, for finding an entry that is apart from zero in a non-null vector of real numbers
This paper considers elimination methods to solve dense linear systems, in particular a variant of G...
AbstractGaussian elimination is among the most widely used tools in scientific computing. Gaussian e...
We propose several techniques as alternatives to partial pivoting to stabilize sparse Gaussian elimi...
This paper has been written as a contribution to the Dutch Parallel Reduction Machine Project. The ...
As the standard method for solving systems of linear equations, Gaussian elimination (GE) is one of ...
This paper presents an algorithm for the Gaussian elimination problem that reduces the length of the...
An abstract view of symmetric gaussian elimination is presented. Problems are viewed as an assembly ...
This paper provides an introduction to algorithms for fundamental linear algebra problems on various...
Consider the Gaussian elimination algorithm with the well-knownpartial pivoting strategy for improvi...
In Gaussian elimination it is often desirable to preserve existing zeros (sparsity). This is closely...
In Gaussian elimination it is often desirable to preserve existing zeros (sparsity). This is closely...
The model of bulk-synchronous parallel (BSP) computation is an emerging paradigm of general-purpose ...
AbstractIt is proved in the paper that if the transpose of a matrix A is diagonally dominant and non...
Consider the problem of determining the pivot sequence used by the Gaussian Elimination algorithm wi...
Gaussian Elimination with Partial Pivoting and Householder QRfactorization are two very popular meth...
This paper considers elimination methods to solve dense linear systems, in particular a variant of G...
AbstractGaussian elimination is among the most widely used tools in scientific computing. Gaussian e...
We propose several techniques as alternatives to partial pivoting to stabilize sparse Gaussian elimi...
This paper has been written as a contribution to the Dutch Parallel Reduction Machine Project. The ...
As the standard method for solving systems of linear equations, Gaussian elimination (GE) is one of ...
This paper presents an algorithm for the Gaussian elimination problem that reduces the length of the...
An abstract view of symmetric gaussian elimination is presented. Problems are viewed as an assembly ...
This paper provides an introduction to algorithms for fundamental linear algebra problems on various...
Consider the Gaussian elimination algorithm with the well-knownpartial pivoting strategy for improvi...
In Gaussian elimination it is often desirable to preserve existing zeros (sparsity). This is closely...
In Gaussian elimination it is often desirable to preserve existing zeros (sparsity). This is closely...
The model of bulk-synchronous parallel (BSP) computation is an emerging paradigm of general-purpose ...
AbstractIt is proved in the paper that if the transpose of a matrix A is diagonally dominant and non...
Consider the problem of determining the pivot sequence used by the Gaussian Elimination algorithm wi...
Gaussian Elimination with Partial Pivoting and Householder QRfactorization are two very popular meth...
This paper considers elimination methods to solve dense linear systems, in particular a variant of G...
AbstractGaussian elimination is among the most widely used tools in scientific computing. Gaussian e...
We propose several techniques as alternatives to partial pivoting to stabilize sparse Gaussian elimi...