Productively Fréchet spaces [PDF]
, 2000 summary:We solve the long standing problem of characterizing the class of strongly Fréchet spaces whose product with every strongly Fréchet space is also ...
Jordan, Francis +5 more
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Generalized Complex Conformable Derivative and Integral Bases in Fréchet Spaces [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchThis paper presents an additional approach in the field of polynomial bases, utilizing generalized complex conformable fractional derivative and integral operators. These operators are applied to polynomial bases of complex conformable derivatives (GCCDB)
Gamal Hassan, Ali Sdeek, Amira Atta
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Computing the fréchet derivative of the matrix exponential, with an application to condition number estimation [PDF]
, 2008 The matrix exponential is a much-studied matrix function having many applications. The Fréchet derivative of the matrix exponential describes the first-order sensitivity of eA to perturbations in A and its norm determines a condition number for eA. Among
Higham, Nicholas J. +3 more
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The complex step approximation to the fréchet derivative of a matrix function [PDF]
, 2009 We show that the Fréchet derivative of a matrix function f at A in the direction E, where A and E are real matrices, can be approximated by Im f(A + ihE)/h for some suitably small h. This approximation, requiring a single function evaluation at a complex
Higham, Nicholas J., Al-Mohy, Awad H.
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A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative [PDF]
, 1999 We provide sufficient conditions for the convergence of inexact Newton methods to a solution of a nonlinear equation in a Banach space. Earlier results have used conditions on the first Fréchet-derivative.
Argyros, I.K.
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On higher-order adjacent derivative of perturbation map in parametric vector optimization
Journal of Inequalities and Applications, 2016 This paper deals with higher-order sensitivity analysis in terms of the higher-order adjacent derivative for nonsmooth vector optimization. The relations between the higher-order adjacent derivative of the minima/the proper minima/the weak minima of a ...
Le Thanh Tung
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Ball convergence for Traub-Steffensen like methods in Banach space
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 We present a local convergence analysis for two Traub-Steffensen-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. In earlier studies such as [16, 23] Taylor expansions and hypotheses up to the third
Argyros Ioannis K., George Santhosh
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Computing the fréchet derivative of the matrix logarithm and estimating the condition number [PDF]
, 2012 The most popular method for computing the matrix logarithm is the inverse scaling and squaring method, which is the basis of the recent algorithm of Al-Mohy and Higham [SIAM J. Sci. Comput., 34 (2012), pp. C152-C169].
Higham, Nicholas J. +5 more
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ON THE FRECHET DIFFERENTIABILITY OF LUXEMBURG NORM IN THE SEQUENCE SPACES l^{p_n} WITH VARIABLE EXPONENTS [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 It is shown that the Luxemburg norm in the sequence space l^{(p_n)} with variable exponents is Frechet - differentiable and a formula expressing the Frechet derivative of this norm at any nonzero x ∈ l^{(p_n)} is given.
PAVEL MATEI
doaj
Fréchet versus strongly Fréchet [PDF]
, 2006 We construct under [CH] a Tychonoff pseudocompact Fréchet space and a countably compact Hausdorff Fréchet space which are both not strongly ...
Costantini, C. +3 more
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