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  • 1
    Electronic Resource
    Electronic Resource
    Superlinear convergence rates for the Lanczos method applied to elliptic operators (1997)
    Springer
    Numerische Mathematik 77 (1997), S. 487-499 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991):65F15, 65N25
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. This paper investigates the convergence of the Lanczos method for computing the smallest eigenpair of a selfadjoint elliptic differential operator via inverse iteration (without shifts). Superlinear convergence rates are established, and their sharpness is investigated for a simple model problem. These results are illustrated numerically for a more difficult problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050297
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