Results 1 to 10 of about 213 (116)
On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 58, Page 3103-3116, 2004., 2004 Some mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product are established. Necessary and sufficient conditions for these laws to hold are found by the matrix rank method.
Yongge Tian
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Diagonalisasi matriks atas ring dengan metode pemfaktoran secara lengkap
Majalah Ilmiah Matematika dan StatistikaGenerally, discussion about diagonalization of matrices in linear algebra is a matrix over the field. This research presents the diagonalization of matrices over commutative rings.
Nikita Nikita +2 more
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IDDM YARDIMIYLA TERS MATRİS HESAPLAMA
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 Özet: Bu çalışmada, lineer cebirsel denklem sistemlerinin çözümü için (KESKİN & AYDIN 2007) de verilen iteratif boyut indirgeme metodunu (IDDM) kullanarak verilen regüler matrisin tersini bulan bir metod geliştirdik.
Ali Osman ÇIBIKDİKEN
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The g-Drazin inverses of special operator matrices
Operators and Matrices, 2021 An element a in a Banach algebra A has g-Drazin inverse provided that there exists b ∈ A such that b = bab , ab = ba , a− a2b ∈ A qnil . In this paper we give a computational formula for the g-Drazin inverse of operator matrix ( E I F 0 ) which was posed
Hua Chen, M. Abdolyousefi
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On the Drazin inverse and M-P inverse for sum of matrices
Operators and Matrices, 2021 Drazin inverse and M-P inverse have many important applications in the aspects of theoretic research of operator and statistics. In this article, we will exhibit under suitable conditions a neat relationship between the Drazin inverse of A + B and the ...
Yingying Qin, Zhiping Xiong, Wanna Zhou
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The dual index and dual core generalized inverse
Open Mathematics, 2023 In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if
Wang Hongxing, Gao Ju
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The Pseudo Drazin inverses in Banach Algebras
Communications in Mathematical Research, 2021 Let A be a complex Banach algebra and J be the Jacobson radical of A . (1) We firstly show that a is generalized Drazin invertible in A if and only if a+ J is generalized Drazin invertible in A /J. Then we prove that a is pseudo Drazin invertible in A if
Jianlong Chen
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Characterizations of the group invertibility of a matrix revisited
Demonstratio Mathematica, 2022 A square complex matrix AA is said to be group invertible if there exists a matrix XX such that AXA=AAXA=A, XAX=XXAX=X, and AX=XAAX=XA hold, and such a matrix XX is called the group inverse of AA.
Tian Yongge
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Displacement structure of the DMP inverse
Open Mathematics, 2022 A matrix AA is said to have the displacement structure if the rank of the Sylvester displacement AU−VAAU-VA or the Stein displacement A−VAUA-VAU is much smaller than the rank of AA.
Zhong Jin, Yang Hong
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The group inverse of circulant matrices depending on four parameters
Special Matrices, 2021 Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial ...
Carmona A. +3 more
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