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Volumn 38, Issue 1, 1998, Pages 151-176

Extensions of block-projections methods with relaxation parameters to inconsistent and rank-deficient least-squares problems

Author keywords

Block projection iteration; Least squares problems; Minimal norm solution; Relaxation

Indexed keywords


EID: 0038425948     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510922     Document Type: Article
Times cited : (58)

References (15)
  • 1
    • 0000198744 scopus 로고
    • Block-iterative projection methods for parallel computation of solutions to convex feasibility problems
    • R. Aharoni, Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Linear Algebra Appl., 120 (1989), pp. 165-175.
    • (1989) Linear Algebra Appl. , vol.120 , pp. 165-175
    • Aharoni, R.1
  • 2
    • 0018711879 scopus 로고
    • Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
    • Å. Björck and T. Elfving, Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations, BIT, 19 (1979), pp. 145-163.
    • (1979) BIT , vol.19 , pp. 145-163
    • Björck, Å.1    Elfving, T.2
  • 3
    • 0008314501 scopus 로고
    • Algebraic multigrid theory: The symmetric case
    • International Conference, Copper Mountain, Colorado, April
    • A. Brandt, Algebraic multigrid theory: The symmetric case, Preliminary Proceedings, International Conference, Copper Mountain, Colorado, April 1983.
    • (1983) Preliminary Proceedings
    • Brandt, A.1
  • 4
    • 0000000860 scopus 로고
    • Guide to multigrid development
    • Multigrid Methods, W. Hackbusch and U. Trottenberg eds., Springer-Verlag
    • A. Brandt, Guide to multigrid development, in Multigrid Methods, W. Hackbusch and U. Trottenberg eds., Lecture Notes in Math. 960, Springer-Verlag, 1982, pp. 220-312.
    • (1982) Lecture Notes in Math. , vol.960 , pp. 220-312
    • Brandt, A.1
  • 5
    • 0002206795 scopus 로고
    • Strong underrelaxation in Kaczmarz's method for inconsistent systems
    • Y. Censor, P. P. B. Eggermont, and D. Gordon, Strong underrelaxation in Kaczmarz's method for inconsistent systems, Numer. Math., 41 (1983), pp. 83-92.
    • (1983) Numer. Math. , vol.41 , pp. 83-92
    • Censor, Y.1    Eggermont, P.P.B.2    Gordon, D.3
  • 6
    • 0002416978 scopus 로고
    • Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
    • P. P. B. Eggermont, G. T. Herman, and A. Lent, Iterative algorithms for large partitioned linear systems, with applications to image reconstruction, Linear Algebra Appl., 40 (1981), pp. 37-67.
    • (1981) Linear Algebra Appl. , vol.40 , pp. 37-67
    • Eggermont, P.P.B.1    Herman, G.T.2    Lent, A.3
  • 7
    • 0002865421 scopus 로고
    • Block-iterative methods for consistent and inconsistent linear equations
    • T. Elfving, Block-iterative methods for consistent and inconsistent linear equations, Numer. Math., 35 (1980), pp. 1-12.
    • (1980) Numer. Math. , vol.35 , pp. 1-12
    • Elfving, T.1
  • 8
    • 0001554939 scopus 로고
    • Angenäherte Auflösung von Systemen linearer Gleichungen
    • S. Kaczmarz, Angenäherte Auflösung von Systemen linearer Gleichungen, Bull. Acad. Polonaise Sci. et Lettres A, (1937), pp. 355-357.
    • (1937) Bull. Acad. Polonaise Sci. et Lettres A , pp. 355-357
    • Kaczmarz, S.1
  • 10
    • 0038425949 scopus 로고
    • Least-squares solution of overdetermined inconsistent linear systems using Kaczmarz's relaxation
    • C. Popa, Least-squares solution of overdetermined inconsistent linear systems using Kaczmarz's relaxation, Intern. J. Computer Math., 55 (1995), pp. 79-89.
    • (1995) Intern. J. Computer Math. , vol.55 , pp. 79-89
    • Popa, C.1
  • 11
    • 85033934855 scopus 로고    scopus 로고
    • Characterization of the solutions set of least-squares problems by an extension of Kaczmarz's projections method
    • Preprint CS97-04, Weizmann Inst.
    • C. Popa, Characterization of the solutions set of least-squares problems by an extension of Kaczmarz's projections method, Preprint CS97-04, Dept. Appl. Math. and Comp. Sci., Weizmann Inst., 1997.
    • (1997) Dept. Appl. Math. and Comp. Sci.
    • Popa, C.1
  • 13
    • 1542269554 scopus 로고
    • Projection method for solving a singular system of linear equations and its applications
    • K. Tanabe, Projection method for solving a singular system of linear equations and its applications, Numer. Math., 17 (1971), pp. 203-214.
    • (1971) Numer. Math. , vol.17 , pp. 203-214
    • Tanabe, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.