Results 31 to 40 of about 345,162 (102)

Local Convergence for Multi-Step High Order Solvers under Weak Conditions

Mathematics, 2020
Our aim in this article is to suggest an extended local convergence study for a class of multi-step solvers for nonlinear equations valued in a Banach space.
Ramandeep Behl, Ioannis K. Argyros
doaj   +1 more source

Generalized Complex Conformable Derivative and Integral Bases in Fréchet Spaces [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
This 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
doaj   +1 more source

An α4 , not Fréchet product of α4 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, Camillo Costantini, Petr Simon, Mynard, Frédéric   +3 more
core   +1 more source

The Newton's method for operators with Hölder continuous ffrst derivative. [PDF]

, 2001
We analyze the convergence of the Newton method when the first Fréchet derivative of the operator involved is Hölder continuous. We calculate also the R-order of convergence and provide some a priori error bounds.
Hernández, M.A. [0000-0001-5478-2958], Hernández, M.A.   +1 more
core   +1 more source

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., Samuel D. Relton, Awad H. Al-Mohy, Relton, Samuel D., Nicholas J. Higham, Al-Mohy, Awad H.   +5 more
core   +1 more source

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  

Semilocal Convergence of the Extension of Chun’s Method

Axioms, 2021
In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method.
Alicia Cordero, Javier G. Maimó, Eulalia Martínez, Juan R. Torregrosa, María P. Vassileva   +4 more
doaj   +1 more source

A Formula for the Fréchet Derivative of a Generalized Matrix Function [PDF]

, 2016
We state and prove an analogue of the Daleckii--Krein theorem, thus obtaining an explicit formula for the Fréchet derivative of generalized matrix functions.
Vanni Noferini, Noferini, Vanni
core   +1 more source

Calculus for linearly correlated fuzzy function using fréchet derivative and riemann integral

, 2020
In this manuscript we study integration and derivative theories for interactive fuzzy processes. These theories are based on the Fréchet derivative and the Riemann integral.
Barros, Laécio Carvalho de, Pedro, Francielle Santo, Esmi, Estevão   +2 more
core   +1 more source

A symmetry property of the Fréchet derivative

, 1994
Let A A and B B be n × n n \times n matrices. We show that the matrix representing the linear transformation \[ X ↦ ( A X
Roy Mathias
core   +1 more source