On N-dimensional idempotent matrices.
Kim, Jin Bai, Dowdy, James E. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Kim, Jin Bai, Dowdy, James E. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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A.S. HOUSEHOLDER, J.A. CARPENTER (1963)
Numerische Mathematik
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Gassó Maria T., Torregrosa Juan R., Abad Manuel (2015)
Special Matrices
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In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive matrix.
Litvinov, G.L. (2005)
Zapiski Nauchnykh Seminarov POMI
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H. Minc (1963)
Applicationes Mathematicae
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Xiaopeng Yue, Dahai Hu, Xiquan Liang (2006)
Formalized Mathematics
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This article provides definitions of idempotent, nilpotent, involutory, self-reversible, similar, and congruent matrices, the trace of a matrix and their main properties.
J. Koliha (2000)
Studia Mathematica
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We give new necessary and sufficient conditions for an element of a C*-algebra to commute with its Moore-Penrose inverse. We then study conditions which ensure that this property is preserved under multiplication. As a special case of our results we recover a recent theorem of Hartwig and Katz on EP matrices.
Dragan S. Djordjević, Stanimirović, Predrag S. (2001)
Czechoslovak Mathematical Journal
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We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range...
W. Ruitenburg (1993)
Semigroup forum
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Meenakshi, A.R., Krishnamoorthy, S. (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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