Results 21 to 30 of about 394,232 (265)
Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation
The solvability theory of an important self-adjoint polynomial matrix equation is presented, including the boundary of its Hermitian positive definite (HPD) solution and some sufficient conditions under which the (unique or maximal) HPD solution exists ...
Zhigang Jia +3 more
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On the stability of a wormhole in the maximally-extended Reissner–Nordström solution
Abstract We consider the stability of the maximally-extended Reissner–Nordström (RN) solution in a Minkowski, de Sitter, or anti-de Sitter background. In a broad class of situations, prior work has shown that spherically symmetric perturbations from a massless scalar field cause the inner horizon of an RN black hole to become singular ...
Ross DeMott, Sam Major, Alex Flournoy
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Time-Space Fractional Heat Equation in the Unit Disk
We will study a maximal solution of the time-space fractional heat equation in complex domain. The fractional time is taken in the sense of the Riemann-Liouville operator, while the fractional space is assumed in the Srivastava-Owa operator.
Rabha W. Ibrahim, Hamid A. Jalab
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Some Maximal Solutions of the Generalized Subadditive Inequality
For real numbers $g ( n,r )$, $0 0 \}$ defined recursively by \[ f ( n ) = \min\limits_{0 < r < n} \{ f ( r ) + f ( n - r ) + g ( n,r ) \}, \quad n \geqq 2. \]
Batty, C, Rogers, D
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We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly ...
Somyot Plubtieng, Wanna Sriprad
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Generalized Solutions for the Sum of Two Maximally Monotone Operators [PDF]
A common theme in mathematics is to define generalized solutions to deal with problems that potentially do not have solutions. A classical example is the introduction of least squares solutions via the normal equations associated with a possibly infeasible system of linear equations.
Heinz H. Bauschke +2 more
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Maximal solutions for the ∞-eigenvalue problem
Abstract In this article we prove that the first eigenvalue of the ∞ {\infty} -Laplacian
Da Silva, Joao Vitor +2 more
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On the Solutions of Linear Systems over Additively Idempotent Semirings
The aim of this article is to solve the system XA=Y, where A=(ai,j)∈Mn×m(S), Y∈Sm and X is an unknown vector of a size n, with S being an additively idempotent semiring. If the system has solutions, then we completely characterize its maximal one, and in
Álvaro Otero Sánchez +2 more
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Continuity and monotonicity of solutions to a greedy maximization problem [PDF]
AbstractMotivated by an application to resource sharing network modelling, we consider a problem of greedy maximization (i.e., maximization of the consecutive minima) of a vector in $${\mathbb {R}}^n$$ R n , with the admissible set indexed by the time parameter. The structure of the constraints depends on the underlying network topology.
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In this paper, we present two iterative algorithms for approximating a solution of the split feasibility problem on zeros of a sum of monotone operators and fixed points of a finite family of nonexpansive mappings.
Narin Petrot +2 more
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