$\require{mediawiki-texvc}$
  • 검색어에 아래의 연산자를 사용하시면 더 정확한 검색결과를 얻을 수 있습니다.
  • 검색연산자
검색연산자 기능 검색시 예
() 우선순위가 가장 높은 연산자 예1) (나노 (기계 | machine))
공백 두 개의 검색어(식)을 모두 포함하고 있는 문서 검색 예1) (나노 기계)
예2) 나노 장영실
| 두 개의 검색어(식) 중 하나 이상 포함하고 있는 문서 검색 예1) (줄기세포 | 면역)
예2) 줄기세포 | 장영실
! NOT 이후에 있는 검색어가 포함된 문서는 제외 예1) (황금 !백금)
예2) !image
* 검색어의 *란에 0개 이상의 임의의 문자가 포함된 문서 검색 예) semi*
"" 따옴표 내의 구문과 완전히 일치하는 문서만 검색 예) "Transform and Quantization"
쳇봇 이모티콘
안녕하세요!
ScienceON 챗봇입니다.
궁금한 것은 저에게 물어봐주세요.

논문 상세정보

THE MOORE-PENROSE INVERSE OF THE PARTITIONED MARIX AND SIMULATION STUDY

Abstract

In this paper we have a concern on the Moore-Penrose inverse of two kinds of partitioned matrices of the form [V X] and [{{{{ {V atop {X} {{{{ {X atop { 0} }}] where V is symmetric. The Moore-Penrose inverse of the partitioned matrices can be reduced to be simpler forms according to some algebraic conditions. Firstly we investigate the representations of the Moore-Penrose inverses of the partitioned matrices under four al-gebraic conditions. Each condition reduces the Moore-Penrose inverses of the partitioned matrices under four al-gebraic conditions. Each condition reduces the Morre-Penrose inverse into some simpler form. Also equivalant conditions will be considered. Finally we will perform a simulation study to investigate which con-dition is the most important in the sense that which condition occurs the most frequently in the real situation. The simluation study will show us a particular condition occurs the most likely tha other conditions. This fact enables us to obtain the Morre-Penrose inverse with less computational efforts and computational storage.

참고문헌 (20)

  1. Applications of a necessary and sufficient condition for OLS to be BLUE , B.H.Baltagi , Statistics and Probability Letters / v.8,pp.457-461, 1989
  2. S.L.Campbell;C.D.Meyer Jr. , Generalized inverses of linear transformations / v.,pp., 1979
  3. Representations for the generalized inverse of a partitioned matrix , R.E.Cline , J. Soc. Indust. Appl. Math. / v.26,pp.588-600, 1964
  4. A note on the inverse-partitioned-matrix mehtod in linear regression analysis , H.Drygas , Linear Algebra and Its Applications / v.67,pp.275-277, 1985
  5. Further results on generalized inverses of partitioned matrices , F.J.Hall;R.E.Hartwig , Journal of SIAM, Applied Mathematics / v.30,pp.617-624, 1976
  6. Generalized inverses of the fundamental bordered matrix used in linear estimation , F.J.Hall;C.D.Meyer Jr , Sankhya: The Indian Jorenal of Statistics / v.37,pp.428-438, 1975
  7. General expressions for the Moore-Penrose inverse of 2 × 2 block matrix , J.M.Miao , Linear Algebra and Its Applications / v.151,pp.1-15, 1991
  8. Expressions for generalized inverses of a bordered matrix with application to the theory of constrained linear models , P.M.Pringle;A.A.Rayner , SIAM Review / v.12,pp.107-115, 1970
  9. The equality of the ordinary least squares estimator and the best linear unbiased estimator , S.Puntanen;G.P.H.Styan , The American Statistician / v.43,pp.153-164, 1989
  10. C.R.Rao;S.K.Mitra , Generalized inverse matrices and its applications / v.,pp., 1971
  11. On best linear estimation and a general Gauss-Markoff theorem in linear models with arbitary non-negative structure , G.Zyskind;F.B.Martin , SIAM Journal on Applied Mathematics / v.17,pp.1190-1202, 1969
  12. Error-free computation of the Moore-Penrose inverse with application to linear least squares analysis , S.K.McNulty;W.J.Kennedy , J. Statist. Comput. Simul. / v.27,pp.45-64, 1987
  13. Numerical algorithms for the Moore-Penrose inverse of a matrix: Iterative methods , N.Shinozaki;M.Sibuya;K.Tanabe , Ann. Inst. Statist. Math / v.21,pp.621-629, 1973
  14. Generalized inverses of a bordered matrices of operators , F.J.Hall , Journal of SIAM, Applied Mathematics / v.29,pp.152-162, 1975
  15. A.Ben-Isral;T.N.E.Greville , Generlaized inverses: Theory and applications / v.,pp., 1974
  16. Generalized inverse of linear transformations: A geometric approach , C.R.Rao;H.Yanai , Linear Algebra and Its Applications / v.66,pp.87-98, 1985
  17. Generalized inverses of partitioned matrices useful in statistical applications , C.R.Rao;H.Yanai , Linear Algebra and Its Applications / v.70,pp.105-113, 1985
  18. A.Albert , Regression and the Moore-Penrose pseudoinverse / v.,pp., 1972
  19. Singular value decomposition and the Moore-Penrose inverse of bordered matrices , R.E.Hartwig , Journal of SIAM, Applied Mathematics / v.31,pp.31-41, 1976
  20. Numerical algorithms for the Moore-Penrose inverse of a Maatrix: Direct methods , N.Shinozaki;M.Sibuya;K.Tanabe , Ann. Inst. Statist. Math. / v.21,pp.193-203, 1972

이 논문을 인용한 문헌 (0)

  1. 이 논문을 인용한 문헌 없음

원문보기

원문 PDF 다운로드

  • 원문 PDF 정보가 존재하지 않습니다.

원문 URL 링크

원문 PDF 파일 및 링크정보가 존재하지 않을 경우 KISTI DDS 시스템에서 제공하는 원문복사서비스를 사용할 수 있습니다. (원문복사서비스 안내 바로 가기)

상세조회 0건 원문조회 0건

DOI 인용 스타일