Erschienen in:

1983 | OriginalPaper | Buchkapitel

Solving for

verfasst von : Wray Britton

Erschienen in: Conjugate Duality and the Exponential Fourier Spectrum

Verlag: Springer New York

Enthalten in: Professional Book Archive

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By Theorem 3.16, our task is to minimize the (real analytic, transcendentally nonlinear) strictly convex functional $${\rm h_n}(\vec{\theta})$$ on the open convex set Θ_n. For numerical work, we must employ the functional $${\rm h_n}(\theta):=\log [\hat{\rm Z}_{\rm n}(\vec{\theta})] - \rm \sum\limits_{k = 1}^n {\theta _k r_k}$$ and {c_k, 0 ≤ k ≤ N_t} is determined by recursive relation (3.16.3)-(3.16.4) for some judicious truncation point N_t ≤ ∞. Recall that {r_k,1 ≤ k ≤ n} is given for n ≤ N.

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