Geodesic
Gradient method for non-injective operators in Hilbert space with application to Neumann problems
Applicationes Mathematicae, Tome 26 (1999) no. 3, pp. 333-346 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The gradient method is developed for non-injective non-linear operators in Hilbert space that satisfy a translation invariance condition. The focus is on a class of non-differentiable operators. Linear convergence in norm is obtained. The method can be applied to quasilinear elliptic boundary value problems with Neumann boundary conditions.
DOI : 10.4064/am-26-3-333-346
Keywords: Neumann boundary value problems, non-injective non-linear operator, gradient method, Hilbert space

János Karátson 1

1 
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János Karátson. Gradient method for non-injective operators in Hilbert space with application to Neumann problems. Applicationes Mathematicae, Tome 26 (1999) no. 3, pp. 333-346. doi: 10.4064/am-26-3-333-346

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