Results 61 to 70 of about 146 (131)
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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Linear Algebra and its Applications, 1980 AbstractA characterization of nonnegative matrices which have a nonnegative Drazin inverse is given. A necessary and sufficient condition for a real matrix to have a nonnegative Drazin inverse is also presented.
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ps-drazin inverses in banach algebras
Filomat, 2019 An element a in a Banach algebra A has ps-Drazin inverse if there exists p2 = p ? comm2(a) such that (a - p)k ? J(A) for some k ? N. Let A be a Banach algebra, and let a,b ? A have ps-Drazin inverses. If a2b = aba and b2a = bab, we prove that 1. ab ? A has ps-Drazin inverse. 2. a + b ? A has ps-Drazin inverse if and only if 1 + adb ?
Chen, Huanyin, Calci, Tugce Pekacar
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A note on computing the generalized inverse A T,S (2) of a matrix A
International Journal of Mathematics and Mathematical Sciences, 2002 The generalized inverse A T,S (2) of a matrix A is a {2}-inverse of A with the prescribed range T and null space S. A representation for the generalized inverse A T,S (2) has been recently developed with the condition σ (GA| T)⊂(0,∞), where G is a matrix
Xiezhang Li, Yimin Wei
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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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Linear Algebra and its Applications, 1978 AbstractA new type of generalized inverse is defined which is a weakened form of the Drazin inverse. These new inverses are called (d)-inverses. Basic properties of (d)-inverses are developed. It is shown that (d)-inverses are often easier to compute than Drazin inverses and can frequently be used in place of the Drazin inverse when studying systems of
Campbell, Stephen L., Meyer, Carl D.
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A Seventh-Order Scheme for Computing the Generalized Drazin Inverse
Mathematics, 2019 One of the most important generalized inverses is the Drazin inverse, which is defined for square matrices having an index. The objective of this work is to investigate and present a computational tool in the form of an iterative method for computing ...
Dilan Ahmed +3 more
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Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 4, December 2024.Abstract Smoothed particle hydrodynamics (SPH) is a mesh‐free, Lagrangian particle‐based method that is able to simulate multiphase flows in an economical manner. However, its ability to capture the flow regimes and regime transitions in two phase (liquid‐gas) internal flows, such as pipe or channel flows is not yet generally established.
Rishindra Vallem +2 more
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Analysis of the descriptor Roesser model with the use of the Drazin inverse
International Journal of Applied Mathematics and Computer Science, 2015 A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and ...
Kaczorek Tadeusz
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On generalized inverses of regular elements in an arbitrary semiring
上海师范大学学报. 自然科学版, 2018 In this paper, we investigate the generalized invertibility for regular elements in an arbitrary semiring. We give some sufficient conditions for the existence of a special kind of {1,2} inverse of a regular element a in an arbitrary semiring and give ...
Israr Ali Khan, Wang Qingwen
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