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- W2010348730 abstract "We find structural formulas for a family (Pn)n of matrix polynomials of arbitrary size orthogonal with respect to the weight matrix e−t2eAteA∗t, where A is certain nilpotent matrix. It turns out that this family is a paradigmatic example of the many new phenomena that show the big differences between scalar and matrix orthogonality. Surprisingly, the polynomials Pn, n≥0, form a commuting family. This commuting property is a genuine and miraculous matrix setting because, in general, the coefficients of Pn do not commute with those of Pm, n≠m." @default.
- W2010348730 created "2016-06-24" @default.
- W2010348730 creator A5005450634 @default.
- W2010348730 date "2011-12-01" @default.
- W2010348730 modified "2023-10-18" @default.
- W2010348730 title "A miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations" @default.
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- W2010348730 doi "https://doi.org/10.1016/j.jat.2011.08.001" @default.
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