Results 11 to 20 of about 62,356 (296)
Outer inverses: Characterization and applications
Linear Algebra and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bapat, Ravindra B. +3 more
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Proceedings, 2018 This paper presents an inverse analysis method for estimating the temperature and thermal residual stress distributions in the pipe from the temperature history measured on the outer surface. A regularization method was introduced.
Shiro Kubo, Shoki Taguwa
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One-sided weighted outer inverses of tensors
Journal of Computational and Applied Mathematics, 2021 The authors introduce one-sided \((M,N)\)-weighted \((B,C)\)-inverse of a tensor as wider classes of one-sided inverses. They give some characterizations for the existence of these new inverses. In addition, they present the sets of all one-sided weighted inverses of a given tensor.
Dijana Mosic +4 more
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Rank Function and Outer Inverses
The Electronic Journal of Linear Algebra, 2018 For the class of matrices over a field, the notion of `rank of a matrix' as defined by `the dimension of subspace generated by columns of that matrix' is folklore and cannot be generalized to the class of matrices over an arbitrary commutative ring. The `determinantal rank' defined by the size of largest submatrix having nonzero determinant, which is ...
Karantha, Manjunatha Prasad +2 more
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Linear Algebra and its Applications, 2002 The inverse of an invertible matrix \(A\) is a scalar multiple of the classical adjoint of \(A\). \textit{E. H. Moore} [On the reciprocal of the general algebraic matrix. Bull. Am. Math. Soc., XXVI, 394-395 (1920)] who extended this observation to represent what is now called the Moore-Penrose inverse of a matrix of rank \(r\) as a linear combination ...
Robinson, Donald W., Donald W. Robinson
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Computation of Outer Inverse of Tensors Based on t‐Product
Numerical Linear Algebra with Applications, 2023 ABSTRACTTensor computations play an essential role in various fields of science and engineering, including multiway data analysis. In this study, we established a few basic properties of the range and null space of a tensor by using block circulant matrices and a discrete Fourier matrix.
Ratikanta Behera +2 more
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On some problems of M.Z. Nashed on outer inverses
Linear Algebra and its Applications, 1986 Let X, Y be Banach spaces and let L(X,Y) consists of all linear bounded operators mapping X into Y. Main results: 1) Every \(A\in L(X,Y)\) has a bounded outer inverse, i.e. there exists a \(B\in L(Y,X)\) such that \(BAB=B.\) 2) \(A\in L(X,Y)\) has an outer inverse B such that dim BY\(=+\infty\) if and only if there exists a subspace \(X_ 0\subset X ...
Shekhtman, Boris
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Matrices having nonzero outer inverses
The Electronic Journal of Linear AlgebraIt is well known that every nonzero von Neumann regular $m\times n$-matrix $A$ over an arbitrary ring $R$ has a nonzero outer inverse $n\times m$-matrix $B$ in the sense that $B=BAB$. Generalizing previous work on von Neumann regular matrices, the matrices having nonzero outer inverses over semiperfect rings are characterized as the matrices having ...
Iulia-Elena Chiru, Septimiu Crivei
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Invariance under outer inverses [PDF]
Aequationes mathematicae, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. E. Hartwig, P. Patrício
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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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