Results 41 to 50 of about 212,635 (266)

Fifth-Order Iterative Method for Solving Multiple Roots of the Highest Multiplicity of Nonlinear Equation

Algorithms, 2015
A three-step iterative method with fifth-order convergence as a new modification of Newton’s method was presented. This method is for finding multiple roots of nonlinear equation with unknown multiplicity m whose multiplicity m is the highest ...
Juan Liang, Xiaowu Li, Zhinan Wu, Mingsheng Zhang, Lin Wang, Feng Pan   +5 more
doaj   +1 more source

One Parameter Optimal Derivative-Free Family to Find the Multiple Roots of Algebraic Nonlinear Equations

Mathematics, 2020
In this study, we construct the one parameter optimal derivative-free iterative family to find the multiple roots of an algebraic nonlinear function.
Munish Kansal, Ali Saleh Alshomrani, Sonia Bhalla, Ramandeep Behl, Mehdi Salimi   +4 more
doaj   +1 more source

Clinical and Biological Features of Response in Resistant Neuroblastoma to 131I‐Metaiodobenzylguanidine Radiotherapy in the Anti‐GD2 Immunotherapy Era

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background 131I‐metaiodobenzylguanidine (131I‐MIBG) radiotherapy is a key treatment for relapsed and refractory (R/R) neuroblastoma (NB). Patients with R/R disease treated in the modern era are increasingly exposed to anti‐GD2 immunotherapy, which exerts selective pressure and may modify both tumor cell state and microenvironment.
Benjamin J. Lerman, Katherine K. Matthay, Fabienne Hollinger, Catriona Black, Ann A. Lazar, Miguel Pampaloni, Steven G. DuBois, Kieuhoa T. Vo   +7 more
wiley   +1 more source

Optimal One-Point Iterative Function Free from Derivatives for Multiple Roots

Mathematics, 2020
We suggest a derivative-free optimal method of second order which is a new version of a modification of Newton’s method for achieving the multiple zeros of nonlinear single variable functions.
Deepak Kumar, Janak Raj Sharma, Ioannis K. Argyros   +2 more
doaj   +1 more source

Hospitalization Through Families’ Eyes: Comparing Inpatient Care Quality for Children With Sickle Cell Disease and Cystic Fibrosis in Canada

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker, Kyle Kemp, Perri Tutelman, Sharon H. J. Hou, Paul Fairie, Maria Santana, Gregory M. T. Guilcher, Taryn Fay‐McClymont, Glenda Bendiak, Wendy Pelletier, Nicola Wright, Fiona Schulte   +11 more
wiley   +1 more source

Adaptive Parallel Methods for Polynomial Equations with Unknown Multiplicity

Algorithms
New two-step simultaneous iterative techniques are proposed for solving polynomial equations with multiple roots of unknown multiplicity. The developed schemes achieve a local convergence order of ten and address key limitations of existing solvers ...
Mudassir Shams, Bruno Carpentieri
doaj   +1 more source

Serological Benefit of SARS‐CoV‐2 Vaccination Relative to Infection in Children With Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with acute lymphoblastic leukemia (ALL) are at risk of severe outcomes from SARS‐CoV‐2 (SCV2). In the post‐pandemic context, where most children have been infected with SCV2, there are limited data on whether vaccination remains beneficial in children with ALL.
Janna R. Shapiro, Freda Qi, Karen Colwill, Alina D. Dorogy, Ying Liu, Michelle Science, Anne‐Claude Gingras, James M. Rini, Sumit Gupta, Sarah Alexander, Shelly Bolotin, Tania H. Watts   +11 more
wiley   +1 more source

Optimal Fourth-Order Methods for Multiple Zeros: Design, Convergence Analysis and Applications

Axioms
Nonlinear equations are frequently encountered in many areas of applied science and engineering, and they require efficient numerical methods to solve. To ensure quick and precise root approximation, this study presents derivative-free iterative methods ...
Sunil Kumar, Janak Raj Sharma, Lorentz Jäntschi   +2 more
doaj   +1 more source

Heterogeneity in the Global Practice of Central Nervous System Staging in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási, Bernadett Borbála Huszti, Gábor Barna, Marko Kavcic, Janez Jazbec, Lennart Lenk, Vera Münch, Sophia Polychronopoulou, Ágnes Márk, Maria Thastrup, Lüder H. Meyer, Kjeld Schmiegelow, Cornelia Eckert, Christina Halsey, Dániel J. Erdélyi   +14 more
wiley   +1 more source

Estimating the multiplicity of a root

Numerische Mathematik, 1976
One point iteration functions for approximating roots of a function of a single variable and sequences generated by them are considered. Methods of estimating the multiplicity of the roots to which such sequences are converging are given. In particular, multiplicity estimators are given for Newton's method, the modified Newton's method, and Laguerre's ...
Hansen, E., Patrick, M.
openaire   +1 more source