Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Condition number of the W-weighted Drazin inverse

In this paper we get the explicit condition number formulas for the W–weighted Drazin inverse of a rectangular matrix using the Schur decomposition and the spectral norm. We characterize the spectral norm and the Frobenius norm of the relative condition number of the W– weighted Drazin inverse, and the level-2 condition number of the W– weighted Drazin inverse. The sensitivity for the W–weighte...

متن کامل

Condition number of Bott-Duffin inverse and their condition numbers

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. 2002 Elsevier Science Inc. All rights reserved.

متن کامل

Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems

In this work we present a novel class of semi-iterative methods for theDrazin-inverse solution of singular linear systems,whether consistent or inconsistent. The matrices of these systems are allowed to have arbitrary index and arbitrary spectra in the complex plane. The methods we develop are based on orthogonal polynomials and can all be implemented by 4-term recursion relations independently...

متن کامل

Estimation of a Condition Number Related to the Weighted Drazin Inverse

In this paper we get the formula for the condition number of the W -weighted Drazin inverse solution of a linear system WAWx = b, where A is a bounded linear operator between Hilbert spaces X and Y , W is a bounded linear operator between Hilbert spaces Y and X, x is an unknown vector in the range of (AW ) and b is a vector in the range of (WA). AMS Mathematics Subject Classification (2000): 47...

متن کامل

Continuity of the Drazin Inverse

In this paper we investigate the continuity of the Drazin inverse of a bounded linear operator on Banach space. Then as a corollary, among other things, we get the well known result of Campbell and Meyer ([1]) for the continuity of the Drazin inverse of square matrix.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2005

ISSN: 0377-0427

DOI: 10.1016/j.cam.2004.11.040