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- W2384879080 abstract "Iteration functions Km(z) and Um(z); m ‚ 2 are de- flned recursively using the determinant of a matrix. We show that the flxed-iterations of Km(z) and Um(z) converge to a simple zero with order of convergence m and give closed form expansions of Km(z) and Um(z): To show the convergence, we derive a recursion formula for Lm and then apply the idea of Ford or Pomentale. We also flnd a Toeplitz matrix whose determinant is Lm(z)=(f 0 ) m , and then we adapt the well-known results of Gerlach and Kalantari et.al. to give closed form expansions." @default.
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- W2384879080 date "2008-01-01" @default.
- W2384879080 modified "2023-09-23" @default.
- W2384879080 title "A GENERATION OF A DETERMINANTAL FAMILY OF ITERATION FUNCTIONS AND ITS CHARACTERIZATIONS" @default.
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