Add to ORKGIt has become a commonplace that triangular systems are solved to higher accuracy than their condition would warrant. This observation is not true in general, and counterexamples are easy to construct. However, it is often true of the triangular matrices from pivoted LU or QR decompositions. It is shown that this fact is closely connected with the rank-revealing character of these decompositions
We show that the stability of Gaussian elimination with partial pivoting relates to the well definit...
For given m × n matrix A, with m> n, QR factorization has form A = Q R O where matrix Q is m×m an...
Matrix L is lower triangular if all entries above its main diagonal are zero, `ij = 0 for i < j M...
Gaussian elimination with full pivoting generates a PLUQ matrix de-composition. Depending on the str...
For the solution of a linear system Ax = b using Gaussian elimination, some new properties of scaled...
Transforming a matrix over a field to echelon form, or decomposing the ma-trix as a product of struc...
AbstractThis paper gives a classification for the triangular factorization of square matrices. These...
Abstract. In this paper, we postulate a new decomposition theorem of a matrix A into two matrices, n...
As the standard method for solving systems of linear equations, Gaussian elimination (GE) is one of ...
In this work we present a study on the vectorization of code segments that are typical for solving l...
AbstractUsing the simple vehicle of tridiagonal Toeplitz matrices, the question of whether one must ...
Solving a set of linear equations arises in many contexts in applied mathematics. At least until rec...
AbstractIt is shown that if A or −A is a singular M-matrix satisfying the generalized diagonal domin...
Abstract. In this paper we consider two structure prediction problems of interest in Gaussian elimin...
V prvem delu diplomskega dela smo opisali Gaussovo eliminacijo kot algoritem za reševanje sistema li...
We show that the stability of Gaussian elimination with partial pivoting relates to the well definit...
For given m × n matrix A, with m> n, QR factorization has form A = Q R O where matrix Q is m×m an...
Matrix L is lower triangular if all entries above its main diagonal are zero, `ij = 0 for i < j M...
Gaussian elimination with full pivoting generates a PLUQ matrix de-composition. Depending on the str...
For the solution of a linear system Ax = b using Gaussian elimination, some new properties of scaled...
Transforming a matrix over a field to echelon form, or decomposing the ma-trix as a product of struc...
AbstractThis paper gives a classification for the triangular factorization of square matrices. These...
Abstract. In this paper, we postulate a new decomposition theorem of a matrix A into two matrices, n...
As the standard method for solving systems of linear equations, Gaussian elimination (GE) is one of ...
In this work we present a study on the vectorization of code segments that are typical for solving l...
AbstractUsing the simple vehicle of tridiagonal Toeplitz matrices, the question of whether one must ...
Solving a set of linear equations arises in many contexts in applied mathematics. At least until rec...
AbstractIt is shown that if A or −A is a singular M-matrix satisfying the generalized diagonal domin...
Abstract. In this paper we consider two structure prediction problems of interest in Gaussian elimin...
V prvem delu diplomskega dela smo opisali Gaussovo eliminacijo kot algoritem za reševanje sistema li...
We show that the stability of Gaussian elimination with partial pivoting relates to the well definit...
For given m × n matrix A, with m> n, QR factorization has form A = Q R O where matrix Q is m×m an...
Matrix L is lower triangular if all entries above its main diagonal are zero, `ij = 0 for i < j M...