Results 51 to 60 of about 340 (155)
Weak MPCEP and *CEPMP inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaWe generalize the systems of equations, which introduced the MPCEP and *CEPMP inverses, using a minimal rank weak Drazin inverse and a minimal rank right weak Drazin inverse.
Mosić Dijana
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8806-8817, 30 May 2025.ABSTRACT In this paper, we propose a new parametric family of iterative schemes to compute the inverse of a complex nonsingular matrix. It is shown that the members of this family have at least a fourth order of convergence. A particular element of the class is extended to approximate the Moore–Penrose inverse of rectangular complex matrices, keeping ...
Alicia Cordero +3 more
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Integral representations of the $g$-Drazin inverse in $C^*$-algebras [PDF]
, 2004 summary:The paper gives new integral representations of the $g$-Drazin inverse of an element $a$ of a $C^*$-algebra that require no restriction on the spectrum of $a$.
Wei, Yimin +2 more
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A note on the formulas for the Drazin inverse of the sum of two matrices
Open Mathematics, 2019 In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
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Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This paper introduces the C-Product Toolbox, a new computational package available for MATLAB and Python, designed to perform operations on third‐order tensors using a tensor product known as the reduced c‐product. The reduced c‐product is a variant of the known c‐product, a tensor product based on the discrete cosine transform and belonging to a ...
Pablo Soto-Quiros +3 more
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Displacement rank of the Drazin inverse
, 2004 In this paper, we study the displacement rank of the Drazin inverse. Both Sylvester displacement and the generalized displacement are discussed. We present upper bounds for the ranks of the displacements of the Drazin inverse.
Wei, Yimin, Qiao, Sanzheng, Diao, Huaian
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AIP Advances, 2018 Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, the familiar linear operator techniques that one would then hope to use often fail since the operators cannot be diagonalized.
Paul M. Riechers, James P. Crutchfield
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Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This study presents analytical and numerical‐analytical decomposition methods for determining complex one‐parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution options.
Sargis Simonyan +3 more
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Some Results on the Drazin Inverse of a Modified Matrix with New Conditions
International Journal of Analysis and Applications, 2014 In this article, we consider representations of the Drazin inverse of a modified matrix M = A−CDdB with the generalized Schur complement Z = D − BAdC under different conditions given in recent articles on the subject.
Abdul Shakoor, Hu Yang, Ilyas Ali
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Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
Journal of Mathematics, Volume 2024, Issue 1, 2024.The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah +2 more
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