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Commuting Outer Inverse-Based Solutions to the Yang–Baxter-like Matrix Equation
Mathematics, 2022 This paper investigates new solution sets for the Yang–Baxter-like (YB-like) matrix equation involving constant entries or rational functional entries over complex numbers.
Ashim Kumar +4 more
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Outer inverse restricted by a linear system
Linear and Multilinear Algebra, 2015 We follow the idea to find the solution of quadratic minimization problems restricted by linear constraints and to investigate underlying generalized inverses. A generalization of this approach leads to a new kind of outer generalized inverse, called the -minimal -constrained inverse of (called the minimal inverse of shortly), with respect to a ...
Dimitrios Pappas +2 more
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To the Solution of Geometric Inverse Heat Conduction Problems [PDF]
Journal of Mechanical Engineering, 2021 On the basis of A. N. Tikhonov’s regularization theory, a method is developed for solving inverse heat conduction problems of identifying a smooth outer boundary of a two-dimensional region with a known boundary condition.
Yurii M. Matsevytyi
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Weighted composite outer inverses
Applied Mathematics and Computation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dijana Mosic +2 more
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Symmetric Properties of (b,c)-Inverses
Mathematics, 2022 Let b and c be two elements in a semigroup S. The (b,c)-inverse is an important outer inverse because it unifies many common generalized inverses. This paper is devoted to presenting some symmetric properties of (b,c)-inverses and (c,b)-inverses.
Guiqi Shi, Jianlong Chen
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F1000Research, 2022 The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined.
Manjunatha Prasad Karantha +1 more
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Waves in a viscoelastic cylindrical waveguide with a defect [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 In this paper, we consider a direct problem on waves in a viscoelastic inhomogeneous cylindrical waveguide with annular delamination and investigate an inverse problem on the identification of the delamination parameters on the basis of the additional ...
Vatulyan, Alexandr Ovanesovitsch +1 more
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An error compensation controller for milling robots
Vietnam Journal of Mechanics, 2023 This paper presents a method of controlling a serial robot for milling by an inverse kinematic controller combined with an outer PD loop (Inverse Dynamics + PD controller), with calibration and compensation of errors in calculating the cutting forces ...
Phan Bui Khoi +2 more
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Extensions of G-outer inverses
Filomat, 2023 Our first objective is to present equivalent conditions for the solvability of the system of matrix equations ADA = A, D= B and CAD = C, where D is unknown, A, B,C are of appropriate dimensions, and to obtain its general solution in terms of appropriate inner inverses.
Dijana Mosic +2 more
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Applied Sciences, 2023 Accurately reconstructing the strain field within stiffened ship panels is crucial for effective structural health monitoring. This study presents a groundbreaking approach to strain field reconstruction in such panels, utilizing optical fiber sensors in
Qingfeng Zhu +7 more
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