{"title":"基于Krylov投影法的大型线性无源电路降阶建模","authors":"L. Dumitriu, M. Iordache","doi":"10.1109/ECCSC.2008.4611665","DOIUrl":null,"url":null,"abstract":"The efficient simulation of large-scale dynamic systems needs a systematic procedure for order reduction of the original circuit. The paper combines the projection method with Krylov subspaces to obtain robust and accurate order reduction techniques. First of all, the algorithm finds a basis matrix onto Krylov subspaces, using a block Arnoldi process, and then constructs a reduced-order model via projection technique. It is shown that we can handle the MIMO systems using the semi-state method and Krylov projection method. An illustrative example is given and some conclusions are pointed out.","PeriodicalId":249205,"journal":{"name":"2008 4th European Conference on Circuits and Systems for Communications","volume":"134 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Reduced-order modelling of large linear passive circuits using Krylov projection method\",\"authors\":\"L. Dumitriu, M. Iordache\",\"doi\":\"10.1109/ECCSC.2008.4611665\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The efficient simulation of large-scale dynamic systems needs a systematic procedure for order reduction of the original circuit. The paper combines the projection method with Krylov subspaces to obtain robust and accurate order reduction techniques. First of all, the algorithm finds a basis matrix onto Krylov subspaces, using a block Arnoldi process, and then constructs a reduced-order model via projection technique. It is shown that we can handle the MIMO systems using the semi-state method and Krylov projection method. An illustrative example is given and some conclusions are pointed out.\",\"PeriodicalId\":249205,\"journal\":{\"name\":\"2008 4th European Conference on Circuits and Systems for Communications\",\"volume\":\"134 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-07-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 4th European Conference on Circuits and Systems for Communications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ECCSC.2008.4611665\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 4th European Conference on Circuits and Systems for Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ECCSC.2008.4611665","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Reduced-order modelling of large linear passive circuits using Krylov projection method
The efficient simulation of large-scale dynamic systems needs a systematic procedure for order reduction of the original circuit. The paper combines the projection method with Krylov subspaces to obtain robust and accurate order reduction techniques. First of all, the algorithm finds a basis matrix onto Krylov subspaces, using a block Arnoldi process, and then constructs a reduced-order model via projection technique. It is shown that we can handle the MIMO systems using the semi-state method and Krylov projection method. An illustrative example is given and some conclusions are pointed out.