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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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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
1996We 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, 1998The 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, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sturm-Liouville operators with an indefinite weight function
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977SynopsisSpectral 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, 2012We 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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Second cumulant statistical control with indefinite control weight
2008 47th IEEE Conference on Decision and Control, 2008In linear-quadratic-Gaussian control, the positive definiteness of the control weighting matrix in the cost function has been assumed, however, it has been shown that solutions do exist for indefinite control weight matrices for the linear-quadratic-Gaussian case.
Chang-Hee Won +2 more
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Sturm–Liouville problems with indefinite weights and Everitt's inequality
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1996It is shown that spectral properties of Sturm–Liouville eigenvalue problems with indefinite weights are related to integral inequalities studied by Everitt. A result of Beals on indefinite problems leads to a sufficient condition for the validity of such an inequality.
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Weighted Matchings for Preconditioning Symmetric Indefinite Linear Systems
SIAM Journal on Scientific Computing, 2006Maximum weight matchings have become an important tool for solving highly indefinite unsymmetric linear systems, especially in direct solvers. In this study we investigate the benefit of reorderings and scalings based on symmetrized maximum weight matchings as a preprocessing step for incomplete $\mathrm{LDL^T}$ factorizations.
Michael Hagemann, Olaf Schenk
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A weighting method for 0–1 indefinite quadratic bilevel programming
Operational Research, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arora, S. R., Arora, Ritu
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