Add to ORKGAbstract. We prove that standard Gaussian random multipliers are ex-pected to stabilize numerically both Gaussian elimination with no pivot-ing and block Gaussian elimination. Our tests show similar results where we applied circulant random multipliers instead of Gaussian ones
In Part I of this work, we began a discussion of the numeric consequences of hyperplane orientation ...
Randomization of matrix computations has become a hot research area in the big data era. Sampling wi...
Abstract Let A be any matrix and let A be a slight random perturbation of A. We prove that it is unl...
We prove that standard Gaussian random multipliers are expected to stabilize numerically both Gaussi...
We study two applications of standard Gaussian random multipliers. At first we prove that with a pro...
We study two applications of standard Gaussian random multipliers. At first we prove that with a pro...
It is known that pivoting-free Gaussian elimination is numerically unsafe but can run signifi-cantly...
A random matrix is likely to be well conditioned, and motivated by this well known property we emplo...
It has been recently shown that large growth factors might occur in Gaussian Elimination with Partia...
AbstractWe consider Gaussian elimination without pivoting applied to complex Gaussian matrices X∈Cn×...
AbstractGaussian elimination is among the most widely used tools in scientific computing. Gaussian e...
It is known that without pivoting Gaussian elimination can run significantly faster, partic-ularly f...
We propose several techniques as alternatives to partial pivoting to stabilize sparse Gaussian elimi...
As the standard method for solving systems of linear equations, Gaussian elimination (GE) is one of ...
This paper considers elimination methods to solve dense linear systems, in particular a variant of G...
In Part I of this work, we began a discussion of the numeric consequences of hyperplane orientation ...
Randomization of matrix computations has become a hot research area in the big data era. Sampling wi...
Abstract Let A be any matrix and let A be a slight random perturbation of A. We prove that it is unl...
We prove that standard Gaussian random multipliers are expected to stabilize numerically both Gaussi...
We study two applications of standard Gaussian random multipliers. At first we prove that with a pro...
We study two applications of standard Gaussian random multipliers. At first we prove that with a pro...
It is known that pivoting-free Gaussian elimination is numerically unsafe but can run signifi-cantly...
A random matrix is likely to be well conditioned, and motivated by this well known property we emplo...
It has been recently shown that large growth factors might occur in Gaussian Elimination with Partia...
AbstractWe consider Gaussian elimination without pivoting applied to complex Gaussian matrices X∈Cn×...
AbstractGaussian elimination is among the most widely used tools in scientific computing. Gaussian e...
It is known that without pivoting Gaussian elimination can run significantly faster, partic-ularly f...
We propose several techniques as alternatives to partial pivoting to stabilize sparse Gaussian elimi...
As the standard method for solving systems of linear equations, Gaussian elimination (GE) is one of ...
This paper considers elimination methods to solve dense linear systems, in particular a variant of G...
In Part I of this work, we began a discussion of the numeric consequences of hyperplane orientation ...
Randomization of matrix computations has become a hot research area in the big data era. Sampling wi...
Abstract Let A be any matrix and let A be a slight random perturbation of A. We prove that it is unl...