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- W2079227511 abstract "In order to compute the smallest eigenvalue together with an eigenfunction of a self-adjoint elliptic partial differential operator one can use the preconditioned inverse iteration scheme, also called the preconditioned gradient iteration. For this iterative eigensolver estimates on the poorest convergence have been published by several authors. In this paper estimates on the fastest possible convergence are derived. To this end the convergence problem is reformulated as a two-level constrained optimization problem for the Rayleigh quotient. The new convergence estimates reveal a wide range between the fastest possible and the slowest convergence." @default.
- W2079227511 created "2016-06-24" @default.
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- W2079227511 date "2006-05-01" @default.
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- W2079227511 title "A geometric theory for preconditioned inverse iteration IV: On the fastest convergence cases" @default.
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- W2079227511 doi "https://doi.org/10.1016/j.laa.2005.06.022" @default.
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