AbstractNecessary and sufficient conditions are given for an integer matrix A to have an integer LU factorization, that is, a factorization A = LU where L and U are integer lower and upper triangular matrices, respectively. The possibilities of computing such factorizations with integer Gaussian elimination are discussed
Rank-revealing ULV and URV factorizations are useful tools to determine the rank and to compute ...
AbstractWe describe a set of procedures for computing and updating an LU factorization of a sparse m...
AbstractThis paper gives a classification for the triangular factorization of square matrices. These...
AbstractNecessary and sufficient conditions are given for an integer matrix A to have an integer LU ...
AbstractLet A be an m-by-n integer matrix and r = rank(A). A necessary and sufficient condition is g...
Submitted by H. Schneider Various types of LU-factorizations for nonsingular matrices, where L is a ...
Abstract- This paper presents a new approach for the solution of Linear Programming Problems with th...
LU decomposition is a fundamental in linear algebra. Numerous tools exists that provide this importa...
Various algorithm such as Doolittle, Crouts and Cholesky’s have been proposed to factor a square mat...
AbstractSuppose A is an n×n nonnegative matrix. Necessary and sufficient conditions are given for A ...
International audienceWe present new algorithms to detect and correct errors in the lower-upper fact...
A dual reordering strategy based on both threshold and graph reorderings is introduced to construct ...
AbstractNot all matrices enjoy the existence of an LU factorization. For those that do not, a number...
AbstractVarious types of LU-factorizations for nonsingular matrices, where L is a lower triangular m...
WOS: 000478255600001We consider a special matrix with integer coefficients and obtain an LU factoriz...
Rank-revealing ULV and URV factorizations are useful tools to determine the rank and to compute ...
AbstractWe describe a set of procedures for computing and updating an LU factorization of a sparse m...
AbstractThis paper gives a classification for the triangular factorization of square matrices. These...
AbstractNecessary and sufficient conditions are given for an integer matrix A to have an integer LU ...
AbstractLet A be an m-by-n integer matrix and r = rank(A). A necessary and sufficient condition is g...
Submitted by H. Schneider Various types of LU-factorizations for nonsingular matrices, where L is a ...
Abstract- This paper presents a new approach for the solution of Linear Programming Problems with th...
LU decomposition is a fundamental in linear algebra. Numerous tools exists that provide this importa...
Various algorithm such as Doolittle, Crouts and Cholesky’s have been proposed to factor a square mat...
AbstractSuppose A is an n×n nonnegative matrix. Necessary and sufficient conditions are given for A ...
International audienceWe present new algorithms to detect and correct errors in the lower-upper fact...
A dual reordering strategy based on both threshold and graph reorderings is introduced to construct ...
AbstractNot all matrices enjoy the existence of an LU factorization. For those that do not, a number...
AbstractVarious types of LU-factorizations for nonsingular matrices, where L is a lower triangular m...
WOS: 000478255600001We consider a special matrix with integer coefficients and obtain an LU factoriz...
Rank-revealing ULV and URV factorizations are useful tools to determine the rank and to compute ...
AbstractWe describe a set of procedures for computing and updating an LU factorization of a sparse m...
AbstractThis paper gives a classification for the triangular factorization of square matrices. These...
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