{"title":"4. An Introduction to the Quality of Computed Solutions","authors":"S. Hammarling","doi":"10.1137/1.9780898718157.ch4","DOIUrl":null,"url":null,"abstract":"This report is concerned with the quality of the computed numerical solutions of mathematical problems. We give an introduction to ideas that are important in understanding and measuring the quality of computed solutions. In particular we\nreview the ideas of condition, stability and error analysis, and their realisation in numerical software. A number of illustrative examples are given.","PeriodicalId":422759,"journal":{"name":"Accuracy and Reliability in Scientific Computing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accuracy and Reliability in Scientific Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/1.9780898718157.ch4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This report is concerned with the quality of the computed numerical solutions of mathematical problems. We give an introduction to ideas that are important in understanding and measuring the quality of computed solutions. In particular we
review the ideas of condition, stability and error analysis, and their realisation in numerical software. A number of illustrative examples are given.
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