28 citations · 164 across the 19 of their papers we have counts for
6 papers · 1 filter
A Sylvester equation approach for the computation of zero-group-velocity points in waveguides
Bor Plestenjak, Daniel A. Kiefer, Hauke Gravenkamp
Eigenvalues of parameter-dependent quadratic eigenvalue problems form eigencurves. The critical points on these curves, where the derivative vanishes, are of practical interest. A…
On properties and numerical computation of critical points of eigencurves of bivariate matrix pencils
Bor Plestenjak
We investigate critical points of eigencurves of bivariate matrix pencils . Points for which form algebraic curves in and we focus…
Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding
Haoze He, Daniel Kressner, Bor Plestenjak
It is well known that a family of commuting matrices can be simultaneously triangularized by a unitary similarity transformation. The diagonal entries of the triangular…
Solving singular generalized eigenvalue problems. Part III: structure preservation
Michiel E. Hochstenbach, Christian Mehl, Bor Plestenjak
In Parts I and II of this series of papers, three new methods for the computation of eigenvalues of singular pencils were developed: rank-completing perturbations, rank-projections…
Numerical methods for eigenvalues of singular polynomial eigenvalue problems
Michiel E. Hochstenbach, Christian Mehl, Bor Plestenjak
Recently, three numerical methods for the computation of eigenvalues of singular matrix pencils, based on a rank-completing perturbation, a rank-projection, or an augmentation were…
Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer +1
We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media. This problem is o…