Geodesic
Computation of the small eigenvalues of a matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 80 (1978), pp. 167-180

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We present the ALGOL programdeigv which computes the small (in absolute value) isolated eigenvalues and their eigenvectors for a real diagonalizable matrix. Test samples are included. 
@article{ZNSL_1978_80_a8,
     author = {L. T. Savinova},
     title = {Computation of the small eigenvalues of a matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {167--180},
     publisher = {mathdoc},
     volume = {80},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_80_a8/}
}
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L. T. Savinova. Computation of the small eigenvalues of a matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 80 (1978), pp. 167-180. http://geodesic.mathdoc.fr/item/ZNSL_1978_80_a8/