Derevyagin, MaximMarcellán Español, Francisco José2016-07-192016-07-192014-10Numerical Algorithms, 2014, v. 67, Issue 2, pp. 271-2871017-1398https://hdl.handle.net/10016/23376In 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.18application/pdfeng© Springer 2014Orthogonal polynomialsGeronimus transformationSobolev inner productsCholesky decompositionJacobi matricesresearch articleMatemáticashttps://doi.org/10.1007/s11075-013-9788-6open access2712287Numerical algorithms67AR/0000015716