The explicit formulas of the Drazin inverse of matrices and its \(n\)th powers

DOI10.1007/s12215-023-00935-yOpenAlexW4384929779MaRDI QIDQ6123450

S. Zriaa, M. Mouçouf

Publication date: 4 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-023-00935-y

zbMATH Keywords

Drazin inversematrix powers

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Special matrices (15B99)

Cites Work

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• Additive results for the Drazin inverse of block matrices and applications
• The computation of Drazin inverse and its application in Markov chains
• A note on the representation for the Drazin inverse of \(2 \times 2\) block matrices
• Some formulas on the Drazin inverse for the sum of two matrices and block matrices
• Explicit formulas for the matrix logarithm and the principal matrix logarithm
• Representations of the Drazin inverse on solution of a class singular differential equations
• A note on additive results for the Drazin inverse
• The Drazln inverse and systems of second order linear differential equations
• Expressions for the drazin inverse of a 2×2 Block Matrix
• A new approach for computing the inverse of confluent Vandermonde matrices via Taylor's expansion
• A characterization of the Drazin inverse

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