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Volumn 3, Issue 6, 1996, Pages 459-471

Dykstra's algorithm for a constrained least-squares matrix problem

Author keywords

Alternating projection method; Constrained least squares; Dykstra's algorithm; Patterned matrix

Indexed keywords


EID: 21444443737     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199611/12)3:6<459::AID-NLA82>3.0.CO;2-S     Document Type: Article
Times cited : (28)

References (16)
  • 1
    • 0024002043 scopus 로고
    • Positive semidefinite matrices: Characterization via conical hulls and least-squares solution of a matrix equation
    • J. C. Allwright. Positive semidefinite matrices: characterization via conical hulls and least-squares solution of a matrix equation. SIAM J. Control and Opt., 26, 537-555, 1988.
    • (1988) SIAM J. Control and Opt. , vol.26 , pp. 537-555
    • Allwright, J.C.1
  • 3
    • 0037976260 scopus 로고
    • Dykstra's alternating projection algorithm for two sets
    • H. H. Bauschke and J. M. Borwein. Dykstra's alternating projection algorithm for two sets. J. Approx. Theory, 79, 418-443, 1994.
    • (1994) J. Approx. Theory , vol.79 , pp. 418-443
    • Bauschke, H.H.1    Borwein, J.M.2
  • 4
    • 0002436271 scopus 로고
    • A method for finding projections onto the intersections of convex sets in Hubert spaces
    • J. P. Boyle and R. L. Dykstra. A method for finding projections onto the intersections of convex sets in Hubert spaces. Lecture Notes in Statistics, 37, 28-47, 1986.
    • (1986) Lecture Notes in Statistics , vol.37 , pp. 28-47
    • Boyle, J.P.1    Dykstra, R.L.2
  • 6
    • 25444487263 scopus 로고
    • Deriving a utility function for the economy
    • Department of Operations Research, Stanford University, Stanford, CA
    • G. B. Dantzig. Deriving a utility function for the economy. Technical Report SOL 85-6R, Department of Operations Research, Stanford University, Stanford, CA, 1985.
    • (1985) Technical Report , vol.SOL 85-6R
    • Dantzig, G.B.1
  • 7
    • 0001770096 scopus 로고
    • The method of alternating orthogonal projections
    • S.P. Singh, editor, Kluwer Academic Publishers, Netherlands
    • F. Deutsch. The method of alternating orthogonal projections. In S.P. Singh, editor, Approximation Theory, Spline Functions and Applications, pages 105-121, Kluwer Academic Publishers, Netherlands, 1992.
    • (1992) Approximation Theory, Spline Functions and Applications , pp. 105-121
    • Deutsch, F.1
  • 8
    • 0002969298 scopus 로고
    • The rate of convergence of Dykstra's cyclic projections algorithm: The polyhedral case
    • F. Deutsch and H. Hundal. The rate of convergence of Dykstra's cyclic projections algorithm: the polyhedral case. Numer. Funct. Anal. and Optimiz., 15, 537-565, 1994.
    • (1994) Numer. Funct. Anal. and Optimiz. , vol.15 , pp. 537-565
    • Deutsch, F.1    Hundal, H.2
  • 9
    • 84948499836 scopus 로고
    • An algorithm for restricted least-squares regression
    • R. L. Dykstra. An algorithm for restricted least-squares regression. J. Amer. Stat. Assoc., 78, 837-842, 1983.
    • (1983) J. Amer. Stat. Assoc. , vol.78 , pp. 837-842
    • Dykstra, R.L.1
  • 10
    • 0000771519 scopus 로고
    • An alternating projection algorithm for computing the nearest Euclidean distance matrix
    • W. Glunt, T. L. Hayden, S. Hong and J. Wells. An alternating projection algorithm for computing the nearest Euclidean distance matrix. SIAM J. Matrix Anal. Appl., 11, 589-600, 1990.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 589-600
    • Glunt, W.1    Hayden, T.L.2    Hong, S.3    Wells, J.4
  • 11
    • 0023860607 scopus 로고
    • A succesive projection method
    • S. P. Han. A succesive projection method. Math. Programming, 40, 1-14, 1988.
    • (1988) Math. Programming , vol.40 , pp. 1-14
    • Han, S.P.1
  • 12
    • 0041904419 scopus 로고
    • Approximation by matrices positive semidefinite on a subspace
    • T. L. Hayden and J. Wells. Approximation by matrices positive semidefinite on a subspace. Linear Algebra Appl., 109, 115-130, 1988.
    • (1988) Linear Algebra Appl. , vol.109 , pp. 115-130
    • Hayden, T.L.1    Wells, J.2
  • 13
    • 0000379660 scopus 로고
    • Computing a nearest symmetric positive semidefinite matrix
    • N. J. Higham. Computing a nearest symmetric positive semidefinite matrix. Linear Algebra Appl., 103, 103-118, 1988.
    • (1988) Linear Algebra Appl. , vol.103 , pp. 103-118
    • Higham, N.J.1
  • 14
    • 21844500660 scopus 로고
    • Positive definite constrained least-squares estimation of matrices
    • H. Hu. Positive definite constrained least-squares estimation of matrices. Linear Algebra Appl., 229, 167-174, 1995.
    • (1995) Linear Algebra Appl. , vol.229 , pp. 167-174
    • Hu, H.1
  • 15
    • 0001487961 scopus 로고
    • A numerical procedure for finding the positive definite matrix closest to a patterned matrix
    • H. Hu and I. Olkin. A numerical procedure for finding the positive definite matrix closest to a patterned matrix. Statistics and Probability letters, 12, 511-515, 1991.
    • (1991) Statistics and Probability Letters , vol.12 , pp. 511-515
    • Hu, H.1    Olkin, I.2
  • 16
    • 0002951308 scopus 로고
    • Annals of Math. Studies, Princeton University Press. This is a reprint of mineographed lecture notes first distributed in 1933
    • J. von Neumann. Functional Operators Vol. II. The Geometry of Orthogonal Spaces. Annals of Math. Studies, vol. 22, 1950. Princeton University Press. This is a reprint of mineographed lecture notes first distributed in 1933.
    • (1950) Functional Operators Vol. II. The Geometry of Orthogonal Spaces , vol.22
    • Von Neumann, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.