Analysis of a New Formalism in Perturbation Theory.

Thomas A. Brown

ResearchPublished 1963

A basic supporting study in mathematics. A large number of problems of mathematical physics may be reduced to the solution of the equation u = f+lambda T(u), where T is a linear transformation. This Memorandum reduces a recent proposal to treat such problems by means of continued fractions to a more tractable method involving series, and demonstrates the convergence of the resulting series over a larger domain than the classical Neumann series

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  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1963
  • Pages: 15
  • Document Number: RM-3734-PR

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Brown, Thomas A., Analysis of a New Formalism in Perturbation Theory. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3734.html.
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