Add to ORKGTo appear in SIMAX In this paper error bounds are derived for a first order expansion of the LU factorization of a perturbation of the identity. The results are applied to obtain perturbation expansions of the LU, Cholesky, and QR factorizations. (Also cross-referenced as UMIACS-TR-92-24
This work introduces a new perturbation bound for the L factor of the LDU factorization of (row) di...
This is the published version, also available here: http://dx.doi.org/10.1137/090761562.We develop b...
A new backward error analysis of LU factorization is presented. It allows do obtain a sharper up...
In this paper error bounds are derived for a first order expansion of the LU factorization of a pert...
In a recent paper, Chang and Paige have shown that the usual perturbation bounds for Cholesky facto...
In this paper we derive perturbation theorems for the LU and QR factors. Moreover, bounds for $\kapp...
Matrix factorizations are among the most important and basic tools in numerical linear algebra. Pert...
AbstractCertain new perturbation bounds of the orthogonal factor in the QR factorization of a real m...
AbstractWe give componentwise bounds for the perturbations of the LU and LDU factorizations.These bo...
AbstractComponentwise rounding-error and perturbation bounds for the Cholesky and LDLT factorization...
AbstractThere are several ways in which a matrix can be factorized as a product of two special matri...
Abstract. Assuming standard floating-point arithmetic (in base β, precision p) and barring underflow...
AbstractLet A and B be two matrices with the same number of rows. The generalized QR factorization i...
AbstractThe hyperbolic QR factorization is a generalization of the classical QR factorization and ca...
AbstractAn almost sharp overall a priori bound is given for ‖A − LLT‖F, where L is the computed Chol...
This work introduces a new perturbation bound for the L factor of the LDU factorization of (row) di...
This is the published version, also available here: http://dx.doi.org/10.1137/090761562.We develop b...
A new backward error analysis of LU factorization is presented. It allows do obtain a sharper up...
In this paper error bounds are derived for a first order expansion of the LU factorization of a pert...
In a recent paper, Chang and Paige have shown that the usual perturbation bounds for Cholesky facto...
In this paper we derive perturbation theorems for the LU and QR factors. Moreover, bounds for $\kapp...
Matrix factorizations are among the most important and basic tools in numerical linear algebra. Pert...
AbstractCertain new perturbation bounds of the orthogonal factor in the QR factorization of a real m...
AbstractWe give componentwise bounds for the perturbations of the LU and LDU factorizations.These bo...
AbstractComponentwise rounding-error and perturbation bounds for the Cholesky and LDLT factorization...
AbstractThere are several ways in which a matrix can be factorized as a product of two special matri...
Abstract. Assuming standard floating-point arithmetic (in base β, precision p) and barring underflow...
AbstractLet A and B be two matrices with the same number of rows. The generalized QR factorization i...
AbstractThe hyperbolic QR factorization is a generalization of the classical QR factorization and ca...
AbstractAn almost sharp overall a priori bound is given for ‖A − LLT‖F, where L is the computed Chol...
This work introduces a new perturbation bound for the L factor of the LDU factorization of (row) di...
This is the published version, also available here: http://dx.doi.org/10.1137/090761562.We develop b...
A new backward error analysis of LU factorization is presented. It allows do obtain a sharper up...