Theory and recursive computation of 1-D matrix Pade approximants

N.K. Bose, Sukanta Basu · IEEE Transactions on Circuits and Systems · 1980

Given a matrix power series, it is shown that (except possibly in certain derogatory cases) a recurrence relation relates the[L+ l/M+1}[L/M], [L- l/M- 1]order Pade approximants, the existence of each of which is guaranteed from validity of a certain rank condition on the corresponding set of characterizing matrices possessing a block-Hankel structure.

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