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ESTIMATION OF A CONDITION NUMBER RELATED TO THE WEIGHTED DRAZIN INVERSE

Dijana Mosić

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Abstract

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) D and b is a vector in the range of (WA) D.

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What this paper is about

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) D and b is a vector in the range of (WA) D.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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) D and b is a vector in the range of (WA) D.

Key concepts: Bounded operator, Drazin inverse, Mathematics, Bounded function, Linear operators, Hilbert space, Linear map, Inverse

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