This software source code investigates numerically the extent to which the condition number of such matrices can be reduced, either by row-scaling or by optimal configurations of nodes. In the latter case we find empirically the condition of the optimally conditioned n × n Vandermonde matrix to grow exponentially at a rate slightly less than (1+√2)^n.
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This dataset contains 29 Matlab codes and 3 data sets:
These software files serve as a companion piece to the paper, "Optimally scaled and optimally conditioned Vandermonde and Vandermonde-like matrices", BIT Numerical Mathematics, 2011, Volume 51, Issue 1, pp. 103-125. doi: 10.1007/s10543-010-0293-1