Various normwise relative condition numbers that measure the sensitivity of Bott– Duffin inverse and the solution of constrained linear systems are characterized. The sensitivity of condition number itself is then investigated. Finally, upper bounds are derived for the sensitivity of componentwise condition numbers
Existing definitions of componentwise backward error and componentwise condition number for linear s...
Methods are presented for performing a rigorous sensitivity analysis of numerical problems with inde...
Existing definitions of componentwise backward error and componentwise condition number for linear s...
Various normwise relative condition numbers that measure the sensitivity of matrix inversion and the...
We consider a general class of structured matrices that includes (possibly confluent) Vandermonde an...
AbstractA natural extension of the notion of condition number of a matrix to the class of all finite...
AbstractIn this paper, we introduce a PQ-norm and discuss the condition number of the generalized in...
AbstractIn this paper, we investigate the condition number of Drazin inverse and Drazin-inverse solu...
In solving a system of n linear equations in d variables Ax=b, the condition number of the (n,d) m...
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...
Abstract We present componentwise condition numbers for the problems of Moore-Penrose generalized ma...
AbstractThe generalized Bott-Duffin inverse A(+)(L) of A with respect to a subspace L is defined, an...
International audienceIn this paper we are interested in computing linear least squares (LLS) condit...
We analyze the componentwise and normwise sensitivity of inverses of Cauchy, Vandermonde, and Cauchy...
Existing definitions of componentwise backward error and componentwise condition number for linear s...
Methods are presented for performing a rigorous sensitivity analysis of numerical problems with inde...
Existing definitions of componentwise backward error and componentwise condition number for linear s...
Various normwise relative condition numbers that measure the sensitivity of matrix inversion and the...
We consider a general class of structured matrices that includes (possibly confluent) Vandermonde an...
AbstractA natural extension of the notion of condition number of a matrix to the class of all finite...
AbstractIn this paper, we introduce a PQ-norm and discuss the condition number of the generalized in...
AbstractIn this paper, we investigate the condition number of Drazin inverse and Drazin-inverse solu...
In solving a system of n linear equations in d variables Ax=b, the condition number of the (n,d) m...
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...
Abstract We present componentwise condition numbers for the problems of Moore-Penrose generalized ma...
AbstractThe generalized Bott-Duffin inverse A(+)(L) of A with respect to a subspace L is defined, an...
International audienceIn this paper we are interested in computing linear least squares (LLS) condit...
We analyze the componentwise and normwise sensitivity of inverses of Cauchy, Vandermonde, and Cauchy...
Existing definitions of componentwise backward error and componentwise condition number for linear s...
Methods are presented for performing a rigorous sensitivity analysis of numerical problems with inde...
Existing definitions of componentwise backward error and componentwise condition number for linear s...