Sparse matrices

One gives a survey of methods and programs for solving large sparse spectral problems based on the Lanczos algorithm. Practically all the important works on this topic are reflected in this survey. One also considers applications of the variants of the Lanczos method to the solution of symmetric indefinite systems of linear equations and to a series of other problems of linear algebra.Translated from Itogi Nauki i Tekhniki, Seriya Matematicheskii Analiz, Vol. 20, pp. 179–260, 1982.