Refined saddle-point preconditioners for discretized Stokes problems. [PDF]
Pearson JW, Pestana J, Silvester DJ.
europepmc +1 more source
An Evaluation of Software for Computing Eigenvalues of Sparse Nonsymmetric Matrices
The past few years have seen a significant increase in research into numerical methods for computing selected eigenvalues of large sparse nonsymmetric matrices. This research has begun to lead to the development of high-quality mathematical software. The
Lehoucq Scott +2 more
core
Infinite Eigenvalues and the QZ Algorithm
The implicitly shifted (bulge chasing ) QZ algorithm is the most popular method for solving the generalized eigenvalue problem Av = Bv. This paper explains why the QZ algorithm functions well even in the presence of infinite eigenvalues. The key to rapid
David S. Watkins, Preprint Sfb
core
A simple, randomized algorithm for diagonalizing normal matrices. [PDF]
He H, Kressner D.
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If A Matrix Has Only A Single Eigenvalue How Sensitive Is This Eigenvalue?
. For matrices with a single eigenvalue we analyse the sensitivity of the eigenvalue to perturbations in the matrix. We derive a closed form result that is similar in spirit to an analytical result by Lidskii; improve a bound by Henrici; and express the ...
Grace E. Cho, Ilse C.F. Ipsen
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Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils. [PDF]
Kressner D, Plestenjak B.
europepmc +1 more source
Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property. [PDF]
Betcke MM, Voss H.
europepmc +1 more source
If A Matrix Has Only A Single Eigenvalue How Sensitive Is This Eigenvalue? II
. For matrices with a single eigenvalue the sensitivity of the eigenvalue to perturbations in the matrix is analyzed. Simple bounds are derived that separate the influence of the index on the eigenvalue sensitivity from the influence of the non-normality.
Grace E. Cho, C. F. Ipsen, Ilse
core
Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding. [PDF]
He H, Kressner D, Plestenjak B.
europepmc +1 more source
Identifying key papers within a journal via network centrality measures. [PDF]
Diallo SY, Lynch CJ, Gore R, Padilla JJ.
europepmc +1 more source

