Abstract
We present a numerical model for determining a finite Blaschke product of degree n+1nhaving nnpreassigned distinct critical points z1,...,znin the complex (open) unit disk D. The Blaschke product is uniquely determined up to postcomposition with conformal automorphisms of D. The proposed method is based on the construction of a sparse nonlinear system where the data dependency is isolated to two vectors and on a certain transformation of the critical points. The efficiency and accuracy of the method is illustrated in several examples.
Original language | Undefined/Unknown |
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Publisher | arXiv.org |
Publication status | Published - 2018 |
MoE publication type | D4 Published development or research report or study |