Add to ORKGAbstract We present componentwise condition numbers for the problems of Moore-Penrose generalized matrix inversion and linear least squares. Also, the condition numbers for these condition numbers are given. Key words Condition numbers, componentwise analysis, generalized matrix inverses, linear least squares. AMS(2000)subject classifications 15A12, 65F20, 65F35
In this paper, we address the accuracy of the results for the overdetermined full rank linear least ...
Available from British Library Document Supply Centre-DSC:9118.013(817) / BLDSC - British Library Do...
Conditions for the existence and representations of {2}-, {1}-, and {1, 2}-inverses which satisfy ce...
Outline • Preliminaries • Moore-Penrose inverse • Linear least squares problems • Full row rank and ...
Various normwise relative condition numbers that measure the sensitivity of matrix inversion and the...
AbstractIn this paper, we present characterizations for the level-2 condition number of the weighted...
We employ the generalized inverse matrix of Moore-Penrose to study the existence and uniqueness of t...
AbstractStructured matrices, such as Cauchy, Vandermonde, Toeplitz, Hankel, and circulant matrices, ...
Abstract. Three different kinds of condition numbers: normwise, mixed and componentwise, are discuss...
We explore the condition numbers of the nonlinear matrix equation Xp-A⁎eXA=I. Explicit expressions f...
Abstract. In the second part of this paper we study condition numbers with respect to com-ponentwise...
The introductory chapters in this paper review the concept of a generalized inverse for arbitrary ma...
This study is a survey of the theory of the generalized-inverses of matrices as defined by Penrose. ...
International audienceUsing a unified approach, simple derivations for the recursive determination o...
AbstractUsing a unified approach, simple derivations for the recursive determination of different ty...
In this paper, we address the accuracy of the results for the overdetermined full rank linear least ...
Available from British Library Document Supply Centre-DSC:9118.013(817) / BLDSC - British Library Do...
Conditions for the existence and representations of {2}-, {1}-, and {1, 2}-inverses which satisfy ce...
Outline • Preliminaries • Moore-Penrose inverse • Linear least squares problems • Full row rank and ...
Various normwise relative condition numbers that measure the sensitivity of matrix inversion and the...
AbstractIn this paper, we present characterizations for the level-2 condition number of the weighted...
We employ the generalized inverse matrix of Moore-Penrose to study the existence and uniqueness of t...
AbstractStructured matrices, such as Cauchy, Vandermonde, Toeplitz, Hankel, and circulant matrices, ...
Abstract. Three different kinds of condition numbers: normwise, mixed and componentwise, are discuss...
We explore the condition numbers of the nonlinear matrix equation Xp-A⁎eXA=I. Explicit expressions f...
Abstract. In the second part of this paper we study condition numbers with respect to com-ponentwise...
The introductory chapters in this paper review the concept of a generalized inverse for arbitrary ma...
This study is a survey of the theory of the generalized-inverses of matrices as defined by Penrose. ...
International audienceUsing a unified approach, simple derivations for the recursive determination o...
AbstractUsing a unified approach, simple derivations for the recursive determination of different ty...
In this paper, we address the accuracy of the results for the overdetermined full rank linear least ...
Available from British Library Document Supply Centre-DSC:9118.013(817) / BLDSC - British Library Do...
Conditions for the existence and representations of {2}-, {1}-, and {1, 2}-inverses which satisfy ce...