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A note on the Geronimus transformation and Sobolev orthogonal polynomials

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URI: https://hdl.handle.net/10016/23376
ISSN: 1017-1398
DOI: https://doi.org/10.1007/s11075-013-9788-6
UXXI: AR/0000015716
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a_Marcellan_NA_2014_ps.pdf (537.26 KB)
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2014-10
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Springer
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In this note we recast the Geronimus transformation in the framework of polynomials orthogonal with respect to symmetric bilinear forms. We also show that the double Geronimus transformations lead to non-diagonal Sobolev type inner products.
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Orthogonal polynomials, Geronimus transformation, Sobolev inner products, Cholesky decomposition, Jacobi matrices
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Numerical Algorithms, 2014, v. 67, Issue 2, pp. 271-287
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