Luzón, AnaAlonso Morón, Manuel2023-06-202023-06-202009-04-15Luzón, A., Alonso Morón, M. «Riordan Matrices in the Reciprocation of Quadratic Polynomials». Linear Algebra and Its Applications, vol. 430, n.o 8-9, abril de 2009, pp. 2254-70. DOI.org (Crossref), https://doi.org/10.1016/j.laa.2008.12.001.0024-379510.1016/j.laa.2008.12.001https://hdl.handle.net/20.500.14352/42168We iterate contractive one-degree polynomials with coefficients in the ring K[[x]] of formal power series to calculate the reciprocal in K[[x]] of a quadratic polynomial. Doing this we meet thestructure of Riordan array. We interpret certain changes of variable as a Riordan array. We finish the paper by using our techniques to find new ways to get known formulas for the sum of powers of natural numbers involving Stirling and Eulerian numbers.engjournal articlehttps//doi.org/10.1016/j.laa.2008.12.001http://www.sciencedirect.com/science/article/pii/S0024379508005673restricted access512.622512.643Inverse relationsArraysInvolutionsSumsBanach's fixed point theoremReciprocal of a quadratic polynomialRiordan matricesChanges of variablesÁlgebra1201 Álgebra