Pick matrix
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In mathematics, a Pick matrix is a matrix which occurs in the study of interpolation problems, for analytic functions.
It is defined as
![P=\left[\frac{u_i^* u_i - v_j^* v_j}{1-f_i^* f_j}\right]^{n-1}_{i,j=0}](../../../../math/f/1/5/f15f705950cb180b9ad1e086ea8d9d31.png)
where (ui) and (vi) are column vectors of dimension p and q, respectively; and z* denotes the complex conjugate of z. Here fi are complex numbers inside the unit circle. That is,
- | fi | < 1.
