Relative Invariants and Closure.

Richard Ernest Bellman, John M. Richardson

ResearchPublished 1964

A basic problem of mathematical physics is replacing a nonlinear functional equation by a more tractable (analytically and computationally) linear equation. More generally, the problem is to replace a system of non-linear equations, often derived from a single equation by means of an orthogonal expansion in a parameter with a system of linear functional equations. To treat this closure problem, the Memorandum presents a method based on the concept of relative invariants and the use of the multidimensional Lagrange expansion theorem. 16 pp.

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  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1964
  • Pages: 16
  • Document Number: RM-4209-ARPA

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Bellman, Richard Ernest and John M. Richardson, Relative Invariants and Closure. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/research_memoranda/RM4209.html.
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