Implicit application of polynomial filters in a k-step Arnoldi method
SIAM Journal on Matrix Analysis and Applications
Computation of a few small eigenvalues of a large matrix with application to liquid crystal modeling
Journal of Computational Physics
IRBL: An Implicitly Restarted Block-Lanczos Method for Large-Scale Hermitian Eigenproblems
SIAM Journal on Scientific Computing
Algorithm 845: EIGIFP: a MATLAB program for solving large symmetric generalized eigenvalue problems
ACM Transactions on Mathematical Software (TOMS)
An improved preconditioned LSQR for discrete ill-posed problems
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
PRIMME: preconditioned iterative multimethod eigensolver—methods and software description
ACM Transactions on Mathematical Software (TOMS)
A block Chebyshev-Davidson method with inner-outer restart for large eigenvalue problems
Journal of Computational Physics
Communication-optimal Parallel and Sequential QR and LU Factorizations
SIAM Journal on Scientific Computing
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irbleigs is a MATLAB program for computing a few eigenvalues and associated eigenvectors of a sparse Hermitian matrix of large order n. The matrix is accessed only through the evaluation of matrix-vector products. Working space of only a few n-vectors is required. The program implements a restarted block-Lanczos method. Judicious choices of acceleration polynomials make it possible to compute approximations of a few of the largest eigenvalues, a few of the smallest eigenvalues, or a few eigenvalues in the vicinity of a user-specified point on the real axis. irbleigs also can be applied to certain large generalized eigenproblems as well as to the computation of a few nearby singular values and associated right and left singular vectors of a large general matrix.