{"title":"求解大型稀疏线性系统的一种算法","authors":"Hoon Liong Ong","doi":"10.1016/0141-1195(89)90063-6","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents a Fortran implementation of the Fast Approximate Inverse (FAPIN) algorithm for solving certain large scale sparse linear systems in a triangular domain developed in <sup>3</sup>. The algorithm can be used to solve very large linear systems that arise from the finite element solution to several types of engineering and applied science problems. A brief description of the implementation is given and a simple example to illustrate the use of the algorithm is also provided.</p></div>","PeriodicalId":100043,"journal":{"name":"Advances in Engineering Software (1978)","volume":"11 2","pages":"Pages 71-74"},"PeriodicalIF":0.0000,"publicationDate":"1989-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0141-1195(89)90063-6","citationCount":"0","resultStr":"{\"title\":\"An algorithm for solving certain large scale sparse linear systems\",\"authors\":\"Hoon Liong Ong\",\"doi\":\"10.1016/0141-1195(89)90063-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper presents a Fortran implementation of the Fast Approximate Inverse (FAPIN) algorithm for solving certain large scale sparse linear systems in a triangular domain developed in <sup>3</sup>. The algorithm can be used to solve very large linear systems that arise from the finite element solution to several types of engineering and applied science problems. A brief description of the implementation is given and a simple example to illustrate the use of the algorithm is also provided.</p></div>\",\"PeriodicalId\":100043,\"journal\":{\"name\":\"Advances in Engineering Software (1978)\",\"volume\":\"11 2\",\"pages\":\"Pages 71-74\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0141-1195(89)90063-6\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Engineering Software (1978)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0141119589900636\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Engineering Software (1978)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0141119589900636","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An algorithm for solving certain large scale sparse linear systems
This paper presents a Fortran implementation of the Fast Approximate Inverse (FAPIN) algorithm for solving certain large scale sparse linear systems in a triangular domain developed in 3. The algorithm can be used to solve very large linear systems that arise from the finite element solution to several types of engineering and applied science problems. A brief description of the implementation is given and a simple example to illustrate the use of the algorithm is also provided.