1975Mathematics of ComputationOpen access

A class of Hessenberg matrices with known pseudoinverse and Drazin inverse

Inderjit Singh, George D. Poole, Thomas L. Boullion

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Abstract

In this paper, a class of Hessenberg matrices is presented for adoption as test matrices. The Moore-Penrose inverse and the Drazin inverse for each member of this class are determined explicitly.

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In this paper, a class of Hessenberg matrices is presented for adoption as test matrices. The Moore-Penrose inverse and the Drazin inverse for each member of this class are determined explicitly.

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Available abstract

In this paper, a class of Hessenberg matrices is presented for adoption as test matrices. The Moore-Penrose inverse and the Drazin inverse for each member of this class are determined explicitly.

Key concepts: Moore–Penrose pseudoinverse, Drazin inverse, Mathematics, Class (philosophy), Inverse, Generalized inverse, Multiplicative inverse, Matrix (chemical analysis)

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