Concept

Spectrum of a matrix

Related publications (25)

A block Newton method for nonlinear eigenvalue problems

We consider matrix eigenvalue problems that are nonlinear in the eigenvalue parameter. One of the most fundamental differences from the linear case is that distinct eigenvalues may have linearly dependent eigenvectors or even share the same eigenvector. Th ...

2009

Interpretation of in-phase and out-of-phase BWR oscillations using an extended reduced order model and semi-analytical bifurcation analysis

Rakesh Chawla, Abdelhamid Dokhane

An extended reduced order model is presented and applied to analyze global and regional oscillations in BWRs. Stability and semianalytical bifurcation analyses are performed using this model in conjunction with the bifurcation code BIFDD to determine the s ...

Elsevier2007

Effect of Spatio-Temporal Channel Correlation on the Performance of Space-Time Codes

Christina Fragouli

The determinant and rank criteria used for space-time code design apply at high SNR. Code design metrics developed for low SNR assume a channel autocorrelation matrix with equal eigenvalues, which does not hold in many practical scenarios. This paper shows ...

2002

Stable spectral methods for conservation laws on triangles with unstructured grids

Jan Sickmann Hesthaven

This paper presents an asymptotically stable scheme for the spectral approximation of linear conservation laws defined on a triangle. Lagrange interpolation on a general two-dimensional nodal set is employed and, by imposing the boundary conditions weakly ...

ELSEVIER SCIENCE SA1999

Integration preconditioning of pseudospectral operators. I. Basic linear operators

Jan Sickmann Hesthaven

This paper develops a family of preconditioners for pseudospectral approximations of pth-order linear differential operators subject to various types of boundary conditions. The approximations are based on ultraspherical polynomials with special attention ...

Society for Industrial and Applied Mathematics1998

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