A PHP Error was encountered

Severity: Warning

Message: file_get_contents(https://...@gmail.com&api_key=61f08fa0b96a73de8c900d749fcb997acc09&a=1): Failed to open stream: HTTP request failed! HTTP/1.1 429 Too Many Requests

Filename: helpers/my_audit_helper.php

Line Number: 197

Backtrace:

File: /var/www/html/application/helpers/my_audit_helper.php
Line: 197
Function: file_get_contents

File: /var/www/html/application/helpers/my_audit_helper.php
Line: 271
Function: simplexml_load_file_from_url

File: /var/www/html/application/helpers/my_audit_helper.php
Line: 3165
Function: getPubMedXML

File: /var/www/html/application/controllers/Detail.php
Line: 597
Function: pubMedSearch_Global

File: /var/www/html/application/controllers/Detail.php
Line: 511
Function: pubMedGetRelatedKeyword

File: /var/www/html/index.php
Line: 317
Function: require_once

A general class of derivative free optimal root finding methods based on rational interpolation. | LitMetric

A general class of derivative free optimal root finding methods based on rational interpolation.

ScientificWorldJournal

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.

Published: January 2016


Category Ranking

98%

Total Visits

921

Avg Visit Duration

2 minutes

Citations

20

Article Abstract

We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2 (n-1) using rational interpolant. The special cases of this class are obtained. These methods do not need Newton's iterate in the first step of their iterative schemes. Numerical computations are presented to show that the new methods are efficient and can be seen as better alternates.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4333564PMC
http://dx.doi.org/10.1155/2015/934260DOI Listing

Publication Analysis

Top Keywords

general class
8
class derivative
8
derivative free
8
free optimal
4
optimal root
4
root finding
4
methods
4
finding methods
4
methods based
4
based rational
4

Similar Publications