A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics
- Author
- ALVAREZ, F1 ; ATTOUCH, H2 ; BOLTE, J2 ; REDONT, P2
[1] Departamento de Ingeniería Matemática, Centro de Modelamiento Matemático, Universidad de Chile, Blanco Encalada 2120, Santiago, Chile
[2] ACSIOM-CNRS FRE 2311, Département de Mathématiques, case 51, Université Montpellier II, Place Eugène Bataillon, 34095 Montpellier, France - Source
Journal de mathématiques pures et appliquées. 2002, Vol 81, Num 8, pp 747-779 ; ref : 35 ref
- CODEN
- JMPAAM
- ISSN
- 0021-7824
- Scientific domain
- Mathematics
- Publisher
- Elsevier, Paris
- Publication country
- France
- Document type
- Article
- Language
- English
- Keyword (fr)
- Comportement asymptotique Convergence forte Equation différentielle Equation ordre 1 Espace Hilbert Existence solution Inertie Matrice hessienne Méthode Newton Optimisation Point critique Solution globale Système dynamique Système équation Théorie Newton DIN Méthode Newton continue
- Keyword (en)
- Asymptotic behavior Strong convergence Differential equation First order equation Hilbert space Existence of solution Inertia Hessian matrices Newton method Optimization Critical point Global solution Dynamical system Equation system Newton theory Dynamic inertial system Continuous Newton method
- Keyword (es)
- Comportamiento asintótico Convergencia fuerte Ecuación diferencial Ecuación orden 1 Espacio Hilbert Existencia de solución Inercia Método Newton Optimización Punto crítico Solución global Sistema dinámico Sistema ecuación Teoría Newton
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E07 Ordinary differential equations
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 13943841
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/S0021-7824(01)01253-3 
https://dx.doi.org/10.1016/S0021-7824(01)01253-3
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