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arxiv: 0711.2913 · v1 · pith:LTOTBZVCnew · submitted 2007-11-19 · 🧮 math.NA · cs.NA

Cubic-matrix splines and second-order matrix models

classification 🧮 math.NA cs.NA
keywords cubic-matrixmatrixmodelssplinesalgorithmapproximationapproximationscontinuous
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We discuss the direct use of cubic-matrix splines to obtain continuous approximations to the unique solution of matrix models of the type $Y''(x) = f(x,Y(x))$. For numerical illustration, an estimation of the approximation error, an algorithm for its implementation, and an example are given.

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