Results 41 to 50 of about 331,846 (302)

Order of Convergence and Dynamics of Newton–Gauss-Type Methods

open access: yesFractal and Fractional, 2023
On the basis of the new iterative technique designed by Zhongli Liu in 2016 with convergence orders of three and five, an extension to order six can be found in this paper. The study of high-convergence-order iterative methods under weak conditions is of
Ramya Sadananda   +3 more
doaj   +1 more source

Statistical Convergence of Double Sequences of Order

open access: yesJournal of Function Spaces and Applications, 2013
We intend to make a new approach and introduce the concepts of statistical convergence of order and strongly -Cesàro summability of order for double sequences of complex or real numbers. Also, some relations between the statistical convergence of order
R. Çolak, Y. Altin
doaj   +1 more source

Birkhoff's order-convergence in partially ordered sets

open access: yesTopology and its Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Tao, Li, Qingguo, Guo, Lankun
openaire   +2 more sources

Convergence analysis of a power series based iterative method having seventh order of convergence

open access: yesМатематичні Студії
In this paper, we propose a new three-point iterative scheme for solving nonlinear equations, which achieves seventh-order convergence. The method begins with a standard Newton iteration, followed by two weighted-Newton steps constructed using power ...
C. D. Sreedeep   +4 more
doaj   +1 more source

The ubiquitin‐proteasome system and autophagy as guardians of the cellular proteome

open access: yesFEBS Letters, EarlyView.
This Perspective covers the three principles governing the crosstalk between the ubiquitin‐proteasome system and autophagy in cellular proteostasis: (1) a shared ubiquitin code routing substrates via shuttle factors or autophagy receptors; (2) spatial compartmentalization into phase‐separated degradation hubs and organelle‐specific modules (exemplified
Ivan Dikic
wiley   +1 more source

SOME MODIFICATIONS OF CHEBYSHEV-HALLEY’S METHODS FREE FROM SECOND DERIVATIVE WITH EIGHTH-ORDER OF CONVERGENCE

open access: yesBarekeng, 2022
The variant of Chebyshev-Halley’s method is an iterative method used for solving a nonlinear equation with third order of convergence. In this paper, we present some new variants of three steps Chebyshev-Halley’s method free from second derivative with ...
Yuslenita Muda   +3 more
doaj   +1 more source

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

open access: yesMolecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson   +9 more
wiley   +1 more source

Convergence analysis of iterative compositions in nonlinear modeling: exploring semilocal and local convergence phenomena

open access: yesJournal of Numerical Analysis and Approximation Theory
In this work, a comprehensive analysis of a multi-step iterative composition for nonlinear equation is performed, providing insights into both local and semilocal convergence properties.
Sunil Kumar   +2 more
doaj   +1 more source

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