{"title":"转置矩阵在求n维旋转矩阵中的应用","authors":"Ognyan Ivanov Zhelezov, Valentina Markova Petrova","doi":"10.22161/ijcmp.6.5.3","DOIUrl":null,"url":null,"abstract":"This article proposes an algorithm for generation of N-dimensional rotation matrix R, N=m+n, m=2p, n=2q, p,q [2, 4, 8] which rotates given N-dimensional vector X in the direction of coordinate axis x1 Algorithm uses block diagonal matrix, composed by Transpositions matrices. As practical realization article gives Matlab code of functions, which creates Householder and Transpositions matrices and V matrix for given n-dimensional vector X.","PeriodicalId":293651,"journal":{"name":"International Journal of Chemistry, Mathematics and Physics","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of the Transpositions matrix for obtaining n-dimensional rotation matrices\",\"authors\":\"Ognyan Ivanov Zhelezov, Valentina Markova Petrova\",\"doi\":\"10.22161/ijcmp.6.5.3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article proposes an algorithm for generation of N-dimensional rotation matrix R, N=m+n, m=2p, n=2q, p,q [2, 4, 8] which rotates given N-dimensional vector X in the direction of coordinate axis x1 Algorithm uses block diagonal matrix, composed by Transpositions matrices. As practical realization article gives Matlab code of functions, which creates Householder and Transpositions matrices and V matrix for given n-dimensional vector X.\",\"PeriodicalId\":293651,\"journal\":{\"name\":\"International Journal of Chemistry, Mathematics and Physics\",\"volume\":\"88 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Chemistry, Mathematics and Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22161/ijcmp.6.5.3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Chemistry, Mathematics and Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22161/ijcmp.6.5.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文提出了一种生成N维旋转矩阵R, N=m+ N, m=2p, N= 2q, p,q[2,4,8]的算法，该算法使给定的N维向量X沿坐标轴x1方向旋转。该算法采用块对角矩阵，由转置矩阵组成。作为实际实现，本文给出了函数的Matlab代码，对给定的n维向量X生成Householder矩阵、转置矩阵和V矩阵。
Application of the Transpositions matrix for obtaining n-dimensional rotation matrices
This article proposes an algorithm for generation of N-dimensional rotation matrix R, N=m+n, m=2p, n=2q, p,q [2, 4, 8] which rotates given N-dimensional vector X in the direction of coordinate axis x1 Algorithm uses block diagonal matrix, composed by Transpositions matrices. As practical realization article gives Matlab code of functions, which creates Householder and Transpositions matrices and V matrix for given n-dimensional vector X.
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