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Volumn 44, Issue 1, 2001, Pages 67-85

The potential theory of several intervals and its applications

Author keywords

Digital filters; Equilibrium distribution; Green's function; Matrix iterations; Optimal polynomials; Schwarz Christoffel mapping

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; DIGITAL FILTERS; ITERATIVE METHODS; LAPLACE TRANSFORMS; LOW PASS FILTERS; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS; THEOREM PROVING;

EID: 0009743142     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-001-0011-0     Document Type: Article
Times cited : (21)

References (17)
  • 1
    • 0242691034 scopus 로고
    • An iterative method for solving the neutron transport equation in x-y geometry
    • J. A. Davis and L. A. Hageman. An iterative method for solving the neutron transport equation in x-y geometry. SIAM J. Appl. Math., 17:149-161, 1969.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 149-161
    • Davis, J.A.1    Hageman, L.A.2
  • 2
    • 0032163793 scopus 로고    scopus 로고
    • Matrix iterations: The six gaps between potential theory and convergence
    • T. A. Driscoll, K. C. Toh, and L. N. Trefethen, Matrix iterations: the six gaps between potential theory and convergence. SIAM Rev., 40(3):547-578, 1998.
    • (1998) SIAM Rev. , vol.40 , Issue.3 , pp. 547-578
    • Driscoll, T.A.1    Toh, K.C.2    Trefethen, L.N.3
  • 4
    • 0000854079 scopus 로고
    • A study of semi-iterative methods for nonsymmetric systems of linear equations
    • M. Eiermann, W. Niethammer, and R. S. Varga. A study of semi-iterative methods for nonsymmetric systems of linear equations. Numer. Math., 47:505-533, 1985.
    • (1985) Numer. Math. , vol.47 , pp. 505-533
    • Eiermann, M.1    Niethammer, W.2    Varga, R.S.3
  • 5
    • 0033352743 scopus 로고    scopus 로고
    • Green's functions for multiply connected domains via Schwarz-Christoffel mapping
    • M. Embree and L. N. Trefethen. Green's functions for multiply connected domains via Schwarz-Christoffel mapping. SIAM Rev., 41(4):721-744, 1999.
    • (1999) SIAM Rev. , vol.41 , Issue.4 , pp. 721-744
    • Embree, M.1    Trefethen, L.N.2
  • 7
    • 0010245035 scopus 로고
    • On polynomial preconditioning and asymptotic convergence factors for indefinite hermitian matrices
    • R. W. Freund. On polynomial preconditioning and asymptotic convergence factors for indefinite hermitian matrices. Linear Algebra Appl., 154-156:259-288, 1991.
    • (1991) Linear Algebra Appl. , vol.154-156 , pp. 259-288
    • Freund, R.W.1
  • 8
    • 0242691032 scopus 로고
    • On the degree of chebyshev approximation on sets with several components
    • W. H. J. Fuchs. On the degree of chebyshev approximation on sets with several components. Izv. Akad. Nauk Armyan. SSR, 13:396-404, 1978.
    • (1978) Izv. Akad. Nauk Armyan. SSR , vol.13 , pp. 396-404
    • Fuchs, W.H.J.1
  • 9
    • 0242691033 scopus 로고
    • On Chebyshev approximation on sets with several components
    • In D. A. Brannan and J. G. Clunie, editors; Academic Press, New York
    • W. H. J. Fuchs. On Chebyshev approximation on sets with several components. In D. A. Brannan and J. G. Clunie, editors, Aspects of Contemporary Complex Analysis, pages 399-408. Academic Press, New York, 1980
    • (1980) Aspects of Contemporary Complex Analysis , pp. 399-408
    • Fuchs, W.H.J.1
  • 10
    • 24244444648 scopus 로고
    • Asymptotic behavior of a family of window functions used in non-recursive digital filter design
    • Technical report, Bell Laboratories
    • W. H. J. Fuchs, J. F. Kaiser, and H. J. Landau. Asymptotic behavior of a family of window functions used in non-recursive digital filter design. Technical report, Bell Laboratories, 1980.
    • (1980)
    • Fuchs, W.H.J.1    Kaiser, J.F.2    Landau, H.J.3
  • 11
    • 0000531950 scopus 로고
    • Orthogonal polynomials on several intervals via a polynomial mapping
    • J. S. Geronimo and W. Van Assche. Orthogonal polynomials on several intervals via a polynomial mapping. Trans. Amer. Math. Soc., 308(2):559-581, 1988.
    • (1988) Trans. Amer. Math. Soc. , vol.308 , Issue.2 , pp. 559-581
    • Geronimo, J.S.1    Van Assche, W.2
  • 13
    • 0041472907 scopus 로고
    • Gauss-Tchebycheff quadrature formulas
    • F. Peherstorfer. Gauss-Tchebycheff quadrature formulas. Numer. Math., 58:273-286, 1990.
    • (1990) Numer. Math. , vol.58 , pp. 273-286
    • Peherstorfer, F.1
  • 14
    • 0033115644 scopus 로고    scopus 로고
    • The asymptotics of optimal (equiripple) filters
    • J. Shen and G. Strang. The asymptotics of optimal (equiripple) filters. IEEE Trans. Signal Process., 47(4):1087-1098, 1999.
    • (1999) IEEE Trans. Signal Process. , vol.47 , Issue.4 , pp. 1087-1098
    • Shen, J.1    Strang, G.2
  • 15
    • 21844484303 scopus 로고
    • The convergence rate of minimal residual method for the Stokes problem
    • A. J. Wathen, B. Fischer, and D. J. Silvester. The convergence rate of minimal residual method for the Stokes problem. Numer. Math., 17:121-134, 1995.
    • (1995) Numer. Math. , vol.17 , pp. 121-134
    • Wathen, A.J.1    Fischer, B.2    Silvester, D.J.3
  • 16
    • 0001071831 scopus 로고    scopus 로고
    • The convergence of iterative solution methods for symmetric and indefinite linear systems
    • In D. F. Griffiths, D. J. Higham, and G. A. Watson, editors; Addison-Wesley, Reading, MA, and Longman, Harlow
    • A. J. Wathen, B. Fischer, and D. J. Silvester. The convergence of iterative solution methods for symmetric and indefinite linear systems. In D. F. Griffiths, D. J. Higham, and G. A. Watson, editors, Numerical Analysis 1997, Pitman Research Notes in Mathematics, pages 230-243. Addison-Wesley, Reading, MA, and Longman, Harlow, 1998.
    • (1998) Numerical Analysis 1997, Pitman Research Notes in Mathematics , pp. 230-243
    • Wathen, A.J.1    Fischer, B.2    Silvester, D.J.3
  • 17
    • 0002059690 scopus 로고
    • Extremal polynomials associated with a system of curves in the complex plane
    • H. Widom. Extremal polynomials associated with a system of curves in the complex plane. Adv. in Math., 3:127-232, 1969.
    • (1969) Adv. in Math. , vol.3 , pp. 127-232
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.