메뉴 건너뛰기




Volumn 311, Issue 1-3, 2000, Pages 61-78

On a variational formulation of the QSVD and the RSVD

Author keywords

65F15; 65H15; Generalized singular value; QSVD; RSVD; Stationary point; Stationary value; SVD; Variational formulation

Indexed keywords


EID: 0034419035     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00072-0     Document Type: Article
Times cited : (25)

References (16)
  • 1
    • 0031520186 scopus 로고    scopus 로고
    • On a variational formulation of the generalized singular value decomposition
    • Chu M.T., Funderlic R.E., Golub G.H. On a variational formulation of the generalized singular value decomposition. SIAM J. Matrix Anal. Appl. 18:1997;1082-1092.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 1082-1092
    • Chu, M.T.1    Funderlic, R.E.2    Golub, G.H.3
  • 3
    • 0000166648 scopus 로고
    • Computing the generalized singular value decomposition
    • Bai Z., Demmel J.W. Computing the generalized singular value decomposition. SIAM J. Sci. Comput. 14:1993;1464-1486.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1464-1486
    • Bai, Z.1    Demmel, J.W.2
  • 5
    • 0001129014 scopus 로고
    • Towards a generalized singular value decomposition
    • Paige C.C., Saunders M.A. Towards a generalized singular value decomposition. SIAM J. Numer. Anal. 18:1981;398-405.
    • (1981) SIAM J. Numer. Anal. , vol.18 , pp. 398-405
    • Paige, C.C.1    Saunders, M.A.2
  • 6
    • 0000726285 scopus 로고
    • Computing the generalized singular value decomposition
    • Paige C.C. Computing the generalized singular value decomposition. SIAM J. Sci. Stat. Comput. 7:1986;1126-1146.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 1126-1146
    • Paige, C.C.1
  • 7
    • 0348064749 scopus 로고
    • On the structure and geometry of the product singular value decomposition
    • De Moor B. On the structure and geometry of the product singular value decomposition. Linear Algebra Appl. 168:1992;95-136.
    • (1992) Linear Algebra Appl. , vol.168 , pp. 95-136
    • De Moor, B.1
  • 8
    • 0006603056 scopus 로고
    • The restricted singular value decomposition: Properties and applications
    • De Moor B., Golub G.H. The restricted singular value decomposition: properties and applications. SIAM J. Matrix Anal. Appl. 12:1991;401-425.
    • (1991) SIAM J. Matrix Anal. Appl. , vol.12 , pp. 401-425
    • De Moor, B.1    Golub, G.H.2
  • 9
    • 21344476395 scopus 로고
    • On the structure of generalized singular value and QR decompositions
    • De Moor B. On the structure of generalized singular value and QR decompositions. SIAM J. Matrix Anal. Appl. 15:1994;347-358.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 347-358
    • De Moor, B.1
  • 10
    • 0142113775 scopus 로고
    • Generalizations of the QR and singular value decomposition
    • De Moor B., Van Dooren P. Generalizations of the QR and singular value decomposition. SIAM J. Matrix Anal. Appl. 13:1992;993-1014.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 993-1014
    • De Moor, B.1    Van Dooren, P.2
  • 12
    • 34250230826 scopus 로고
    • Computing the CS-decomposition of a partitioned orthogonal matrix
    • Stewart G.W. Computing the CS-decomposition of a partitioned orthogonal matrix. Numer. Math. 40:1982;297-306.
    • (1982) Numer. Math. , vol.40 , pp. 297-306
    • Stewart, G.W.1
  • 13
    • 0016926423 scopus 로고
    • Generalizing the singular value decomposition
    • Van Loan C.F. Generalizing the singular value decomposition. SIAM J. Numer. Anal. 13:1976;76-83.
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 76-83
    • Van Loan, C.F.1
  • 14
    • 0000767435 scopus 로고
    • Computing the CS and the generalized singular value decomposition
    • Van Loan C.F. Computing the CS and the generalized singular value decomposition. Numer. Math. 46:1985;479-491.
    • (1985) Numer. Math. , vol.46 , pp. 479-491
    • Van Loan, C.F.1
  • 15
    • 0043123883 scopus 로고
    • A numerical algorithm for computing the restricted singular value decomposition of matrix triplets
    • Zha H. A numerical algorithm for computing the restricted singular value decomposition of matrix triplets. Linear Algebra Appl. 168:1992;1-25.
    • (1992) Linear Algebra Appl. , vol.168 , pp. 1-25
    • Zha, H.1
  • 16
    • 0000565140 scopus 로고
    • The restricted singular value decomposition of matrix triplets
    • Zha H. The restricted singular value decomposition of matrix triplets. SIAM J. Matrix Anal. Appl. 12:1991;172-194.
    • (1991) SIAM J. Matrix Anal. Appl. , vol.12 , pp. 172-194
    • Zha, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.