20.500.12556/RUL-175777 A Sylvester equation approach for the computation of zero-group-velocity points in waveguides Eigenvalues of parameter-dependent quadratic eigenvalue problems form eigencurves. The critical points on these curves, where the derivative vanishes, are of practical interest. A particular example is found in the dispersion curves of elastic waveguides, where such points are called zero-group-velocity (ZGV) points. Recently, it was revealed that the problem of computing ZGV points can be modeled as a multiparameter eigenvalue problem (MEP), and several numerical methods were devised. Due to their complexity, these methods are feasible only for problems involving small matrices. In this paper, we improve the efficiency of these methods by exploiting the link to the Sylvester equation. This approach enables the computation of ZGV points for problems with much larger matrices, such as multi-layered plates and three-dimensional structures of complex cross-sections. parameter-dependent quadratic eigenvalue problem eigencurves zero-group-velocity point Sylvester equation method of fixed relative distance two-parameter eigenvalue problem parametrični kvadratični problem lastnih vrednosti lastne krivulje točka ničelne skupinske hitrosti Sylvestrova enačba metoda fiksne relativne razdalje dvoparametrični problem lastnih vrednosti true false true Angleški jezik Slovenski jezik Članek v reviji 2025-11-07 10:24:28 2025-11-07 10:24:33 2026-06-10 17:11:41 0000-00-00 00:00:00 2025 0 0 Str. 1443–1456 iss. 5 Vol. 76 Nov. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.6 0178-7675 10.1007/s00466-025-02656-8 245905155 s00466-025-02656-8-1.pdf s00466-025-02656-8-1.pdf 1 802C8106F5034A511A8C5F769B6D8C32 7cc5cf717a9b9715bf7e3623f9f992f663b1a32072b00cde5ef8ee11570db631 f406ea0c-bbbc-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=221632 https://link.springer.com/article/10.1007/s00466-025-02656-8 1 416998f2-bbbb-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=221631 Fakulteta za matematiko in fiziko 0 0 0