%0 Journal Article %1 fernndez2013pronys %A Fernández, Francisco M %D 2013 %J Physica Scripta %K 62m10-time-series-auto-correlation-regression 81q10-selfadjoint-operator-theory-in-quantum-theory-including-spectral-analysis prony %N 2 %P 025006 %R 10.1088/0031-8949/87/02/025006 %T Prony's method and the connected-moments expansion %U https://iopscience.iop.org/article/10.1088/0031-8949/87/02/025006 %V 87 %X We show that Prony's method provides the full solution to the nonlinear equations of the connected-moments expansion (CMX). Knowledge of all the parameters in the CMX ansatz is useful for the analysis of the convergence properties of the approach. Prony's method may also be suitable for the calculation of the correlation function for simple quantum-mechanical models.

@article{fernndez2013pronys, abstract = { We show that Prony's method provides the full solution to the nonlinear equations of the connected-moments expansion (CMX). Knowledge of all the parameters in the CMX ansatz is useful for the analysis of the convergence properties of the approach. Prony's method may also be suitable for the calculation of the correlation function for simple quantum-mechanical models.}, added-at = {2021-07-13T06:35:18.000+0200}, author = {Fernández, Francisco M}, biburl = {https://www.bibsonomy.org/bibtex/2fa7bc6da924e3ce7cfbd7cc7b38ea625/gdmcbain}, description = {Prony's method and the connected-moments expansion - IOPscience}, doi = {10.1088/0031-8949/87/02/025006}, interhash = {ceccca99af1ad32f8f5b086f4f1bd8da}, intrahash = {fa7bc6da924e3ce7cfbd7cc7b38ea625}, journal = {Physica Scripta}, keywords = {62m10-time-series-auto-correlation-regression 81q10-selfadjoint-operator-theory-in-quantum-theory-including-spectral-analysis prony}, number = 2, pages = 025006, timestamp = {2021-07-13T06:36:09.000+0200}, title = {Prony's method and the connected-moments expansion}, url = {https://iopscience.iop.org/article/10.1088/0031-8949/87/02/025006}, volume = 87, year = 2013 }