On the quasimonotonicity of a square linear operator with respect to a nonnegative cone
By: Philip Beaver
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1998
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 96
Description: The question of when a square, linear operator is quasimonotone nondecreasing with respect to a nonnegative      cone was posed for the application of vector Lyapunov functions in 1974. Necessary conditions were given in      1980, which were based on the spectrum and the first eigenvector. This dissertation gives necessary and      sufficient conditions for the case of the real spectrum when the first eigenvector is in the nonnegative orthant,      and when the first eigenvector is in the boundary of the nonnegative orthant, it gives conditions based on the      reducibility of the matrix. For the complex spectrum, in the presence of a positive first eigenvector the problem      is shown to be equivalent to the irreducible nonnegative inverse eigenvalue problem.
Notes: Dissertation supervisor(s): David Canright.

"June 1998."

Dissertation (Ph.D. in Applied Mathematics) Naval Postgraduate School, June 1998.

Includes bibliographical references (p. 96).

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US Army (USA) author.

dk/dk cc:9116 9/2/98.