Results 21 to 30 of about 394,232 (265)

Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

open access: yesJournal of Applied Mathematics, 2014
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
doaj   +1 more source

On the stability of a wormhole in the maximally-extended Reissner–Nordström solution

open access: yesClassical and Quantum Gravity, 2022
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
openaire   +3 more sources

Time-Space Fractional Heat Equation in the Unit Disk

open access: yesAbstract and Applied Analysis, 2013
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
doaj   +1 more source

Some Maximal Solutions of the Generalized Subadditive Inequality

open access: yesSIAM Journal on Algebraic Discrete Methods, 1982
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
openaire   +3 more sources

An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces

open access: yesFixed Point Theory and Applications, 2009
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
doaj   +2 more sources

Generalized Solutions for the Sum of Two Maximally Monotone Operators [PDF]

open access: yesSIAM Journal on Control and Optimization, 2014
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
openaire   +2 more sources

Maximal solutions for the ∞-eigenvalue problem

open access: yesAdvances in Calculus of Variations, 2017
Abstract In this article we prove that the first eigenvalue of the ∞ {\infty} -Laplacian
Da Silva, Joao Vitor   +2 more
openaire   +2 more sources

On the Solutions of Linear Systems over Additively Idempotent Semirings

open access: yesMathematics
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
doaj   +1 more source

Continuity and monotonicity of solutions to a greedy maximization problem [PDF]

open access: yesMathematical Methods of Operations Research, 2020
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.
openaire   +3 more sources

Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings

open access: yesJournal of Inequalities and Applications, 2018
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
doaj   +1 more source

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