Bibliographic record for `Lee:2008:AET'
@Article{Lee:2008:AET,
author = "Che-Rung Lee and G. W. Stewart",
title = "Algorithm 879: {EIGENTEST}: A Test Matrix Generator for Large-Scale Eigenproblems",
journal = "{ACM} Transactions on Mathematical Software",
volume = "35",
number = "1",
month = jul,
year = "2008",
pages = "7",
note = "Article 7, 11 pages",
URL = "http://doi.acm.org/10.1145/1377603.1377610",
abstract = "EIGENTEST is a package that produces real test matrices with known eigensystems. A test
matrix, called an eigenmat, is generated in a factored form, in which the user can specify the
eigenvalues and has some control over the condition of the eigenvalues and eigenvectors.
An eigenmat $A$ of order $n$ requires only $O(n)$ storage for its representation. Auxiliary
programs permit the computation of $(A - sI)b$, $(A - s I)^{\rm -T} b$, $(A - s I)^{-1} b$,
and $(A - s I)^{\rm -T}b$ in $O(n)$ operations. A special routine computes specified eigenvectors
of an eigenmat and the condition of its eigenvalue. Thus eigenmats are suitable for testing
algorithms based on Krylov sequences, as well as others based on matrix-vector products. This
paper introduces the eigenmat and describes implementations in Fortran~77, Fortran~95, C, and Matlab.",
}
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