Iteration of the power operation

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dc.contributor.advisor Zhang, Hongfei en_US Garner, William H. en_US 2011-06-03T19:37:12Z 2011-06-03T19:37:12Z 1995 en_US 1995
dc.identifier LD2489.Z78 1995 .G37 en_US
dc.description.abstract This thesis is an investigation of the sequence of functions defined by fl (x) -xand fn+1 (x) -x , where the power is the principal value.In the case where the sequence is restricted to positive real this sequence of functions over thecomplex plane, we attack real numbers, the problem yields to the methods of analysis and we prove the behavior of the sequence.The more general problem of describing the behavior of both analytically and numerically. Though no full rigorous solution is given, the results presented suggest the behavior of the sequence over the complex plane is very interesting.
dc.description.sponsorship Department of Mathematical Sciences
dc.format.extent iii, 43 leaves : ill. (some col.) ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Nonlinear functional analysis. en_US
dc.subject.lcsh Iterative methods (Mathematics) en_US
dc.subject.lcsh Functions of complex variables. en_US
dc.title Iteration of the power operation en_US Thesis (M.S.)
dc.identifier.cardcat-url en_US

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  • Master's Theses [5510]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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