Tractography

In mathematics, a Pick matrix, named after Georg Pick, is a matrix which occurs in the study of interpolation problems for analytic functions.

It is defined as

$P=\left[{\frac {u_{i}^{*}u_{i}-v_{j}^{*}v_{j}}{1-f_{i}^{*}f_{j}}}\right]_{i,j=0}^{n-1}$

where $(u_{i})$ and $(v_{i})$ are column vectors of dimension $p$ and $q$, respectively; and z* denotes the complex conjugate of z. Here $f_{i}$ are complex numbers inside the unit circle. That is,

$|f_{i}|<1.\,$

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