{"title":"Spärlich besetzte Matrizen","authors":"D. Cordes","doi":"10.1515/9783112576229-009","DOIUrl":"https://doi.org/10.1515/9783112576229-009","url":null,"abstract":"L'encadrement avec verification d'une solution d'un systeme d'equations lineaires demande une strategie modifiee si la matrice du systeme est une matrice creuse. On deduit un procede iteratif en utilisant une structure de donnees basee sur les lignes et une decomposition LU","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123771419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lösung nichtlinearer Gleichungen mit Verifikation des Ergebnisses","authors":"G. Schumacher","doi":"10.1515/9783112576229-010","DOIUrl":"https://doi.org/10.1515/9783112576229-010","url":null,"abstract":"On presente des methodes d'amelioration de procedes classiques pour la resolution de systemes d'equations algebriques non lineaires avec verification du resultat. On considere en particulier le calcul de derivees partielles qui interviennent et l'assistance par ordinateur pour des problemes de valeurs critiales","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121897367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FORTRAN-SC Eine FORTRAN-Erweiterung für wissenschaftliches Rechnen","authors":"M. Metzger, W. Walter","doi":"10.1515/9783112576229-004","DOIUrl":"https://doi.org/10.1515/9783112576229-004","url":null,"abstract":"","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127319754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Genaue Auswertung von Polynomen und Ausdrücken","authors":"Howard C. Fischer","doi":"10.1515/9783112576229-011","DOIUrl":"https://doi.org/10.1515/9783112576229-011","url":null,"abstract":"On presente plusieurs methodes d'evaluation exacte de polynomes et d'expressions arithmetiques. Elles sont basees, sur une transformation en un systeme d'emotions et sur la resolution de ce systeme a l'aide d'un procede de correction des residus. On obtient des resultats de precision elevee grace a l'emploi de l'arithmetique des intervalles et d'un produit scalaire precis","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134637994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CALCULUS","authors":"S. M. Rump","doi":"10.1515/9783112576229-006","DOIUrl":"https://doi.org/10.1515/9783112576229-006","url":null,"abstract":"","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"519 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116253485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}