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Existence and Uniqueness of Weighted Pseudoinverses with Nonsingular Indefinite Weights

Cybernetics and Systems Analysis, 2020
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Vareniuk, N. A., Tukalevska, N. I.
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Weighted Pseudoinversion with Indefinite Weights

Ukrainian Mathematical Journal, 2018
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Varenyuk, N. A.   +3 more
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Nonhomogeneous eigenvalue problem with indefinite weight

Complex Variables and Elliptic Equations, 2017
This paper, following the theory of partial differential equations on the Orlicz–Sobolev spaces, is mainly concerned with the nonhomogeneous eigenvalue problem involving variable growth conditions ...
Bin Ge, Chang Geng
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Weighted Moore–Penrose Inverses Associated with Weighted Projections on Indefinite Inner Product Spaces

Bulletin of the Iranian Mathematical Society, 2020
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Yan, Guanjie, Tan, Yunfei, Xu, Qingxiang
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A Novel Indefinite Kernel Dimensionality Reduction Algorithm: Weighted Generalized Indefinite Kernel Discriminant Analysis

Neural Processing Letters, 2013
Kernel methods are becoming increasingly popular for many real-world learning problems. And these methods for data analysis are frequently considered to be restricted to positive definite kernels. In practice, however, indefinite kernels arise and demand application in pattern analysis.
Jing Yang, Liya Fan
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Elliptic Problems Involving an Indefinite Weight Function

1996
We consider an elliptic boundary value problem defined on a region Ω ⊂ ℝn and involving an indefinite weight function ω. We also suppose that the problem under consideration admits a variational formulation. Then by appealing to the theory of selfadjoint operators acting in a Krein space, we derive various spectral properties for the problem.
M. Faierman, H. Langer
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Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs

SIAM Journal on Control and Optimization, 1998
The authors consider an optimal control problem of a stochastic linear quadratic regulator with general control weights. The problem reduces to the solution of a stochastic Riccati equation, which is a backward stochastic differential equation. Sufficient conditions are given, under which the Riccati equation has a unique solution.
Chen, Shuping, Li, Xunjing, Zhou, Xun Yu
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Inverse Problems for Differential Operators with Indefinite Discontinuous Weights

Results in Mathematics, 2020
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Sturm-Liouville operators with an indefinite weight function

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977
SynopsisSpectral properties of the singular Sturm-Liouville equation –(p−1y′)′ + qy = λry with an indefinite weight function r are studied in . The main tool is the theory of definitisable operators in spaces with an indefinite scalar product.
Daho, K., Langer, H.
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Resonant nonlinear Neumann problems with indefinite weight

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012
We consider nonlinear Neumann problems driven by the p-Laplacian plus an indefinite potential. First we develop the spectral properties of such differential operators. Subsequently, using these spectral properties and variational methods based on critical point theory, truncation techniques and Morse theory, we prove existence and multiplicity theorems ...
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