메뉴 건너뛰기




Volumn 12, Issue , 2001, Pages 205-215

Chebyshev approximation via polynomial mappings and the convergence behaviour of Krylov subspace methods

Author keywords

Chebyshev polynomial; Convergence rate; Extremal signature; Krylov subspace method; Optimal polynomial

Indexed keywords


EID: 0242543402     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (12)
  • 1
    • 0002160502 scopus 로고    scopus 로고
    • Fast Nonsymmetric iterations and preconditioning for Navier-Stokes equations
    • H.C. ELMAN AND D.J. SILVESTER, Fast Nonsymmetric iterations and preconditioning for Navier-Stokes equations, SIAM J. Sci. Comput., 17 (1996), pp. 33-46.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 33-46
    • Elman, H.C.1    Silvester, D.J.2
  • 2
    • 0039408928 scopus 로고
    • Chebyshev polynomials for disjoint compact sets
    • B. FISCHER, Chebyshev polynomials for disjoint compact sets, Constr. Approx., 8 (1992), pp. 309-329.
    • (1992) Constr. Approx. , vol.8 , pp. 309-329
    • Fischer, B.1
  • 4
    • 0001618930 scopus 로고
    • On the constraint Chebyshev approximation problem on ellipses
    • B. FISCHER AND R. FREUND, On the constraint Chebyshev approximation problem on ellipses, J. Approx. Theory, 62 (1990), pp. 297-315.
    • (1990) J. Approx. Theory , vol.62 , pp. 297-315
    • Fischer, B.1    Freund, R.2
  • 5
    • 0000382130 scopus 로고    scopus 로고
    • Minimum residual methods for augmented systems
    • B. FISCHER, A. RAMAGE, D.J. SILVESTER, AND A.J. WATHEN, Minimum residual methods for augmented systems, BIT, 38 (1998), pp. 527-543.
    • (1998) BIT , vol.38 , pp. 527-543
    • Fischer, B.1    Ramage, A.2    Silvester, D.J.3    Wathen, A.J.4
  • 6
  • 7
    • 0002036556 scopus 로고
    • Iterative methods for solving operator equations with a spectrum contained in several intervals
    • V.I. LEBEDEV, Iterative methods for solving operator equations with a spectrum contained in several intervals, Comput. Math. Math. Phys., 9 (1969), pp. 17-24.
    • (1969) Comput. Math. Math. Phys. , vol.9 , pp. 17-24
    • Lebedev, V.I.1
  • 8
    • 34250947533 scopus 로고
    • Über Polynome, die in einem gegebenen Intervalle möglichst wenig von Null abweichen
    • W. MARKOFF, Über Polynome, die in einem gegebenen Intervalle möglichst wenig von Null abweichen, Math. Ann., 77(1916), pp. 213-258.
    • (1916) Math. Ann. , vol.77 , pp. 213-258
    • Markoff, W.1
  • 9
    • 0030504593 scopus 로고    scopus 로고
    • Minimal polynomials for compact sets of the complex plane
    • F. PEHERSTORFER,Minimal polynomials for compact sets of the complex plane, Constr. Approx., 12 (1996), pp. 481-488.
    • (1996) Constr. Approx. , vol.12 , pp. 481-488
    • Peherstorfer, F.1
  • 10
    • 3042562245 scopus 로고    scopus 로고
    • Theoretical and numerical description of extremal polynomials on several intervals II
    • F. PEHERSTORFER AND K. SCHIEFERMAYR, Theoretical and numerical description of extremal polynomials on several intervals II, Acta Math. Hungar., 83 (1999), pp. 103-128.
    • (1999) Acta Math. Hungar. , vol.83 , pp. 103-128
    • Peherstorfer, F.1    Schiefermayr, K.2
  • 11
    • 0002163609 scopus 로고
    • A unified approach to certain problems of approximation and minimization
    • T.J. RlVLIN AND H.S. SHAPIRO.A unified approach to certain problems of approximation and minimization, J. Soc. Indust. Appl. Math., 9 (1961), pp. 670-699.
    • (1961) J. Soc. Indust. Appl. Math. , vol.9 , pp. 670-699
    • Rlvlin, T.J.1    Shapiro, H.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.