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Generalization of traveltime inversion [PDF]
SEG Technical Program Expanded Abstracts 1990, 1990 A nonlinear inversion method is presented, especially suited for the determination of global velocity models. In a certain sense, it can be considered as a generalization of methods based on traveltimes of reflections, with the requirement of accurately having to determine traveltimes replaced by the (less stringent and less subjective) requirement of
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The generalized inverse and inverse structure
Acta Crystallographica Section A, 1977When a structure in one space is projected or mapped or otherwise described in another space or 'language', then the transformation is usually irreversible. In the case of linear transformations a generalized inverse matrix exists even if the transformation matrix is rectangular or singular.
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SIAM Journal on Matrix Analysis and Applications, 2015
We discuss the parameterized generalized inverse eigenvalue problem (PGIEP): For given matrices $A_i$, $B_i \in {\bf C}^{n \times n}$ ($i=0, 1, \ldots, n$), find complex numbers $c_i \in {\bf C}$ ($i=1, 2, \ldots, n$) such that the generalized eigenvalue
H. Dai, Z. Bai, Ying Wei
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We discuss the parameterized generalized inverse eigenvalue problem (PGIEP): For given matrices $A_i$, $B_i \in {\bf C}^{n \times n}$ ($i=0, 1, \ldots, n$), find complex numbers $c_i \in {\bf C}$ ($i=1, 2, \ldots, n$) such that the generalized eigenvalue
H. Dai, Z. Bai, Ying Wei
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Generalized inverses and generalized splines [PDF]
Numerical Functional Analysis and Optimization, 1980 An abstract framework in Hilbert space is provided for generalized splines and generalized inverses of operators.
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On system inversion by matrix generalized inverses
International Journal of Systems Science, 1977A method is presented for inverting a linear time-invariant system x = Ax+Bu, y=Cx, where B has full column rank and C has full row rank. Matrix generalized inverses are used to express the Laplace transform of the input vector in terms of the Laplace transform of the output vector.
V. Lovass-Nagy +2 more
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Generalized Inverse Multiobjective Optimization with Application to Cancer Therapy
Operational Research, 2014We generalize the standard method of solving inverse optimization problems to allow for the solution of inverse problems that would otherwise be ill posed or infeasible.
T. Chan, T. Craig, Taewoo Lee, M. Sharpe
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Dual core generalized inverse of third-order dual tensor based on the T-product
Computational and Applied Mathematics, 2022Yuhang Liu, Haifeng Ma
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SIAM Journal of Imaging Sciences, 2014
Blurred images corrupted by Poisson noise frequently appear in medical and astronomical applications, and variational models based on sparsity priors such as the total variation and the framelet have been devoted to the problem of recovering the ...
Dai-Qiang Chen
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Blurred images corrupted by Poisson noise frequently appear in medical and astronomical applications, and variational models based on sparsity priors such as the total variation and the framelet have been devoted to the problem of recovering the ...
Dai-Qiang Chen
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Generalized band matrices and their inverses
Calcolo, 1991The idea of defining the generalized band matrices is based on the recognition that several pattern matrices and their inverses have low rank submatrices in certain domains. Theoretical considerations concerning the generalized band matrices enable us to give uniform treatment for several well known classes of matrices like band matrices, block band ...
ROMANI, FRANCESCO +3 more
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