{"title":"4. 计算解的质量导论","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":"{\"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}","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}
4. An Introduction to the Quality of Computed Solutions
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.