Vandermonde matrix

Definition

Matrix $A$ $n \times n$ has basis function $t^{i}$ . Every term is $t_{i}^{j}$ where $j \in [0, n - 1]$ and $i \in [1, n]$ .

Example

>>> import numpy
>> numpy.vander([1, 2, 3, 4, 5], N=5, increasing=True)  
array([[  1,   1,   1,   1,   1],  
      [  1,   2,   4,   8,  16],  
      [  1,   3,   9,  27,  81],  
      [  1,   4,  16,  64, 256],  
      [  1,   5,  25, 125, 625]])