Two-Dimensional Generalization of the Rutishauser qd -Algorithm

A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established. Some examples of analytic functions represented by regular two-dimensional C -fractions with independent variables are given.

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2015-07, Vol.208 (3), p.301-309
Main Author: Dmytryshyn, R. I.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c4129-3f5683c3cd0ffca6231dede61de4a2a8d589aaa1900effedd8017d4fdfda11db3
cites cdi_FETCH-LOGICAL-c4129-3f5683c3cd0ffca6231dede61de4a2a8d589aaa1900effedd8017d4fdfda11db3
container_end_page 309
container_issue 3
container_start_page 301
container_title Journal of mathematical sciences (New York, N.Y.)
container_volume 208
creator Dmytryshyn, R. I.
description A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established. Some examples of analytic functions represented by regular two-dimensional C -fractions with independent variables are given.
doi_str_mv 10.1007/s10958-015-2447-9
format article
fullrecord <record><control><sourceid>gale_cross</sourceid><recordid>TN_cdi_gale_infotracmisc_A456342594</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A456342594</galeid><sourcerecordid>A456342594</sourcerecordid><originalsourceid>FETCH-LOGICAL-c4129-3f5683c3cd0ffca6231dede61de4a2a8d589aaa1900effedd8017d4fdfda11db3</originalsourceid><addsrcrecordid>eNp9kV1LwzAUhoMoOKc_wLuCV15kJk3SNlcypk5hIMx5HWI-uoy20aTDj19vRr0ZDAkkh8PzJJy8AFxiNMEIlTcRI84qiDCDOaUl5EdghFlJYFVydpxqVOaQkJKegrMYNyg5RUVG4Hb16eGda00Xne9kk81NZ4Js3I_sUyPzNuvXJltuexfXchtNyD50BqdN7YPr1-05OLGyiebi7xyD14f71ewRLp7nT7PpAiqKcw6JZek5RZRG1ipZ5ARro02RdipzWWlWcSkl5ggZa43WFcKlplZbLTHWb2QMroZ7a9kY4Trr-yBV66ISU8oKQnPGaaLgAaoeRvKdsS619_jJAT4tbVqnDgrXe0JievPV1-lnonh6We6zeGBV8DEGY8V7cK0M3wIjsQtNDKGJFJrYhSZ4cvLBiYntahPExm9DyiX-I_0CbqWYjg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Two-Dimensional Generalization of the Rutishauser qd -Algorithm</title><source>Springer Nature</source><creator>Dmytryshyn, R. I.</creator><creatorcontrib>Dmytryshyn, R. I.</creatorcontrib><description>A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established. Some examples of analytic functions represented by regular two-dimensional C -fractions with independent variables are given.</description><identifier>ISSN: 1072-3374</identifier><identifier>EISSN: 1573-8795</identifier><identifier>DOI: 10.1007/s10958-015-2447-9</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Mathematics ; Mathematics and Statistics</subject><ispartof>Journal of mathematical sciences (New York, N.Y.), 2015-07, Vol.208 (3), p.301-309</ispartof><rights>Springer Science+Business Media New York 2015</rights><rights>COPYRIGHT 2015 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4129-3f5683c3cd0ffca6231dede61de4a2a8d589aaa1900effedd8017d4fdfda11db3</citedby><cites>FETCH-LOGICAL-c4129-3f5683c3cd0ffca6231dede61de4a2a8d589aaa1900effedd8017d4fdfda11db3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Dmytryshyn, R. I.</creatorcontrib><title>Two-Dimensional Generalization of the Rutishauser qd -Algorithm</title><title>Journal of mathematical sciences (New York, N.Y.)</title><addtitle>J Math Sci</addtitle><description>A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established. Some examples of analytic functions represented by regular two-dimensional C -fractions with independent variables are given.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1072-3374</issn><issn>1573-8795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kV1LwzAUhoMoOKc_wLuCV15kJk3SNlcypk5hIMx5HWI-uoy20aTDj19vRr0ZDAkkh8PzJJy8AFxiNMEIlTcRI84qiDCDOaUl5EdghFlJYFVydpxqVOaQkJKegrMYNyg5RUVG4Hb16eGda00Xne9kk81NZ4Js3I_sUyPzNuvXJltuexfXchtNyD50BqdN7YPr1-05OLGyiebi7xyD14f71ewRLp7nT7PpAiqKcw6JZek5RZRG1ipZ5ARro02RdipzWWlWcSkl5ggZa43WFcKlplZbLTHWb2QMroZ7a9kY4Trr-yBV66ISU8oKQnPGaaLgAaoeRvKdsS619_jJAT4tbVqnDgrXe0JievPV1-lnonh6We6zeGBV8DEGY8V7cK0M3wIjsQtNDKGJFJrYhSZ4cvLBiYntahPExm9DyiX-I_0CbqWYjg</recordid><startdate>20150704</startdate><enddate>20150704</enddate><creator>Dmytryshyn, R. I.</creator><general>Springer US</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20150704</creationdate><title>Two-Dimensional Generalization of the Rutishauser qd -Algorithm</title><author>Dmytryshyn, R. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4129-3f5683c3cd0ffca6231dede61de4a2a8d589aaa1900effedd8017d4fdfda11db3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dmytryshyn, R. I.</creatorcontrib><collection>CrossRef</collection><collection>Science in Context</collection><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dmytryshyn, R. I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Two-Dimensional Generalization of the Rutishauser qd -Algorithm</atitle><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle><stitle>J Math Sci</stitle><date>2015-07-04</date><risdate>2015</risdate><volume>208</volume><issue>3</issue><spage>301</spage><epage>309</epage><pages>301-309</pages><issn>1072-3374</issn><eissn>1573-8795</eissn><abstract>A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established. Some examples of analytic functions represented by regular two-dimensional C -fractions with independent variables are given.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10958-015-2447-9</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1072-3374
ispartof Journal of mathematical sciences (New York, N.Y.), 2015-07, Vol.208 (3), p.301-309
issn 1072-3374
1573-8795
language eng
recordid cdi_gale_infotracmisc_A456342594
source Springer Nature
subjects Mathematics
Mathematics and Statistics
title Two-Dimensional Generalization of the Rutishauser qd -Algorithm
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T18%3A54%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Two-Dimensional%20Generalization%20of%20the%20Rutishauser%20qd%20-Algorithm&rft.jtitle=Journal%20of%20mathematical%20sciences%20(New%20York,%20N.Y.)&rft.au=Dmytryshyn,%20R.%20I.&rft.date=2015-07-04&rft.volume=208&rft.issue=3&rft.spage=301&rft.epage=309&rft.pages=301-309&rft.issn=1072-3374&rft.eissn=1573-8795&rft_id=info:doi/10.1007/s10958-015-2447-9&rft_dat=%3Cgale_cross%3EA456342594%3C/gale_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c4129-3f5683c3cd0ffca6231dede61de4a2a8d589aaa1900effedd8017d4fdfda11db3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A456342594&rfr_iscdi=true