Results 141 to 150 of about 421,577 (266)

On the set of initial guesses for the secant method

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7398-7411, 15 May 2025.
The secant method is the most used iterative method to solve an operator equation where the operator involved is nondifferentiable. A known problem that arises when applying this method is its accessibility. Then, we try to improve it by using the technique of decomposition of the operator involved, so that the operator is in turn the sum of two ...
Alejandro Moysi   +3 more
wiley   +1 more source

On $\mathfrak{I}$-reconstruction Property [PDF]

open access: yesarXiv, 2013
Reconstruction property in Banach spaces introduced and studied by Casazza and Christensen in [1]. In this paper we introduce reconstruction property in Banach spaces which satisfy $\mathfrak{I}$-property. A characterization of reconstruction property in Banach spaces which satisfy $\mathfrak{I}$-property in terms of frames in Banach spaces is obtained.
arxiv  

Using decomposition of the nonlinear operator for solving non‐differentiable problems

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7987-8006, 15 May 2025.
Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba   +3 more
wiley   +1 more source

Nests in Banach space

open access: yesJournal of Mathematical Analysis and Applications, 1991
Let X be a complex Banach space, and L(X) the algebra of all bounded linear operators on X. A nest is a totally ordered lattice of subspaces of X. A nest is complete if it contains (0) and X and is closed under the formation of arbitrary closed linear spans and intersections.
openaire   +2 more sources

Testing covariance separability for continuous functional data

open access: yesJournal of Time Series Analysis, Volume 46, Issue 3, Page 402-420, May 2025.
Analyzing the covariance structure of data is a fundamental task of statistics. While this task is simple for low‐dimensional observations, it becomes challenging for more intricate objects, such as multi‐variate functions. Here, the covariance can be so complex that just saving a non‐parametric estimate is impractical and structural assumptions are ...
Holger Dette   +2 more
wiley   +1 more source

Banach spaces [PDF]

open access: yesMémoires de la Société mathématique de France, 1974
Gruson, L., Put, M. van der
openaire   +2 more sources

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