Journal of computational and applied mathematics vol:32 issue:1-2 pages:27-37
Extrapolation and Rational Approximation location:Luminy, FR date:24-30 September, 1989
We describe the minimal vector Padé approximation problem, which consists in finding Padé approximants with a common denominator for a number of series. These approximants are minimal in the sense that for a given order of approximation and a given discrepancy in numerator and denominator degrees, the degree of the rational approximant is minimal. Properties and solution methods are derived from an associated minimal partial realization problem.