Results 21 to 30 of about 90,344 (295)
Revisiting of the BT-inverse of matrices
AIMS Mathematics, 2021 In this paper, we discuss different characteristics of the BT-inverse of a square matrix introduced by Baksalary and Trenkler [On a generalized core inverse, Appl. Math. Comput., 236 (2014), 450-457].
Wanlin Jiang, Kezheng Zuo
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A note on generalized inverses [PDF]
Mathematical Methods of Operations Research, 2013 ISSN:1432 ...
Embrechts, Paul, Hofert, Marius
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Matrix inverses along the core parts of three matrix decompositions
AIMS Mathematics, 2023 New characterizations for generalized inverses along the core parts of three matrix decompositions were investigated in this paper. Let $ A_{1} $, $ \hat{A}_{1} $ and $ \tilde{A}_{1} $ be the core parts of the core-nilpotent decomposition, the core-EP ...
Xiaofei Cao +4 more
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Proceedings of the American Mathematical Society, 1988 Let A A be a (possibly unbounded) linear operator on a Banach space X X that generates a bounded holomorphic semigroup of angle θ ( 0 > θ ≤ π / 2 ) \theta (0 > \theta \leq \pi /2) . We show that, if the range of
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Journal of Mathematical Analysis and Applications, 2000 If \(A\) is an \(m\times n\) matrix, an approximate solution to the problem \(Ax=y\), is \(x=By\), where \(B\) is an \(n\times m\) matrix, and it is called a generalized inverse of \(A\). The Moore-Penrose generalized inverse of \(A\) (\(\widetilde{A}=(|A|_{\mid\text{range}(|A|)})^{-1}U^{\ast }\), where \(|A|=(A^{\ast }A)^{1/2}\) is the absolute value ...
Gisèle Ruiz Goldstein +1 more
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AIMS Mathematics, 2023 In this paper, we study and analyze the generalized inverse mixed variational inequality. The existence and uniqueness of the solution of such problem are proposed.
Jittiporn Tangkhawiwetkul
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The combined effect of fractional filter and Smith Predictor for enhanced closed-loop performance of integer order time-delay systems: some investigations [PDF]
Archives of Control Sciences, 2020 This paper proposes a generalized fractional controller for integer order systems with time delay. The fractional controller structure is so adopted to have a combined effect of fractional filter and Smith predictor.
Shaival, Hemant, Nagarsheth +1 more
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On the geometry of generalized inverses
Mathematische Nachrichten, 2005 AbstractWe study the set S = {(a, b) ∈ A × A : aba = a, bab = b} which pairs the relatively regular elements of a Banach algebra A with their pseudoinverses, and prove that it is an analytic submanifold of A × A. If A is a C*‐algebra, inside S lies a copy the set ℐ of partial isometries, we prove that this set is a C∞ submanifold of S (as well as a ...
Andruchow, Esteban +2 more
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A geometrical interpretation of the inverse matrix
Journal of Inequalities and Applications, 2016 Utilizing a new method to structure parallellotopes, a geometrical interpretation of the inverse matrix is given, which includes the generalized inverse of full column rank or a full row rank matrices.
Yanping Zhou, Binwu He
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Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space
Mathematics, 2023 The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić +2 more
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