LAUSR

Local convergence of the Levenberg–Marquardt method under Hölder metric subregularity

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0 Published in 2019 at "Advances in Computational Mathematics"

DOI: 10.1007/s10444-019-09708-7

Abstract: We describe and analyse Levenberg–Marquardt methods for solving systems of nonlinear equations. More specifically, we propose an adaptive formula for the Levenberg–Marquardt parameter and analyse the local convergence of the method under Hölder metric subregularity… read more here.

Keywords: levenberg marquardt; local convergence; lder;

Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions

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1 Published in 2020 at "IMA Journal of Numerical Analysis"

DOI: 10.1093/imanum/drz063

Abstract: We show that if a sequence of piecewise affine linear processes converges in the strong sense with a positive rate to a stochastic process that is strongly Hölder continuous in time, then this sequence converges… read more here.

Keywords: convergence lder; lder norms; monte carlo; norms applications ... See more keywords

Analysis of Tempered Fractional Calculus in Hölder and Orlicz Spaces

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14081581

Abstract: Here, we propose a general framework covering a wide variety of fractional operators. We consider integral and differential operators and their role in tempered fractional calculus and study their analytic properties. We investigate tempered fractional… read more here.

Keywords: orlicz spaces; fractional calculus; lder; tempered fractional ... See more keywords

Quasiconformal mappings with controlled Laplacian and Hölder continuity

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0 Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"

DOI: 10.5186/aasfm.2019.4440

Abstract: Abstract. We prove that every K-quasiconformal mapping w of the unit ball B ⊂ R, n ≥ 2 onto a C-Jordan domain Ω is Hölder continuous with constant α = 2 − n p ,… read more here.

Keywords: controlled laplacian; lder continuity; mappings controlled; quasiconformal mappings ... See more keywords