## MRC Technical Summary Report |

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2q+l A-stability algebra approximation averaging operators B*-algebra Banach space channel coefficients column compact computation conditionally poised constant convergence corresponding Dahlquist defined Denote derivatives distribution is unlimited eigenvalues equivalent ergodic example exists finite G. D. BIRKHOFF given Hamel Hamel dimension Hausdorff spaces hence Hermite corrector formulae Hermite formulae Hilbert space homeomorphism I. J. Schoenberg implies initial value problem integration interpolation problem interval knots Lemma linear operator Madison Math Mathematics Research Center MRC Technical Summary multistep method n-incidence matrix obtain ordinary differential equations points poised systems poised with respect Polya conditions polynomial p(x prove pseudoinverse release and sale satisfies the Polya Schauder basis Schauder dimension semi-inverse sequence SPLINDIF spline function SPONSORING MILITARY square matrix step-size strong spectral inverse subset tape Technical Summary Report topology trapezoidal rule unique UNIVERSITY OF WISCONSIN vector zero