Geodesic
Two-sided approximations in the $LR$-algorithm
Zapiski Nauchnykh Seminarov POMI, Computational methods and automatic programming, Tome 58 (1976), pp. 67-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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An ALGOL program is derived for a modified $LR$-algorithm, permitting the determination of two-sided approximations to the eigenvalues of a tridiagonal symmetric matrix. Test examples are considered. 
@article{ZNSL_1976_58_a7,
     author = {T. Ya. Kon'kova and V. N. Kublanovskaya},
     title = {Two-sided approximations in the $LR$-algorithm},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {67--71},
     year = {1976},
     volume = {58},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_58_a7/}
}
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T. Ya. Kon'kova; V. N. Kublanovskaya. Two-sided approximations in the $LR$-algorithm. Zapiski Nauchnykh Seminarov POMI, Computational methods and automatic programming, Tome 58 (1976), pp. 67-71. http://geodesic.mathdoc.fr/item/ZNSL_1976_58_a7/