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An approach to solving the spectral problem of A-λB

  • Section A.1 Of General (A-λB)-Pencils
  • Conference paper
  • First Online:
Matrix Pencils

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 973))

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References

  1. KUBLANOVSKAYA, V.N. On a method of solving the complete eigenvalue problem for a degenerate matrix. Zh. Vychisl. Mat. Mat. Fiz. 6 (1966), 611–620; Transl. in USSR Comput. Math. Math. Phys. 6, 4 (1968), 1–14.

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  2. KUBLANOVSKAYA, V.N. The AB-algorithm and its properties. (In Russian), Trans. of the Steklov Inst. of Math., Leningrad 102, 42–60 (1980).

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  3. KUBLANOVSKAYA, V.N. AB-algorithm and its modifications for the spectral problems of linear pencils of matrices. LOMI preprints E-10-81, Leningrad (1981).

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  4. KUBLANOVSKAYA, V.N. On algorithms for the solution of spectral problems of linear matrix pencils. LOMI preprints E-1-82, Leningrad (1982).

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  5. KÅGSTRÖM, BO and RUHE, AXEL. An algorithm for numerical computation of the Jordan normal form of a complex matrix. ACM, TOMS, 6, 398–419 (1980).

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  6. MOLER, C.B. and STEWART, G.W. An algorithm for the generalized matrix eigenvalue problem, SIAM J. Num. Anal. 10, 241–256 (1973).

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Authors
  1. V. N. Kublanovskaya
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Bo Kågström Axel Ruhe

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© 1983 Springer-Verlag

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Kublanovskaya, V.N. (1983). An approach to solving the spectral problem of A-λB. In: Kågström, B., Ruhe, A. (eds) Matrix Pencils. Lecture Notes in Mathematics, vol 973. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062092

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  • DOI: https://doi.org/10.1007/BFb0062092

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11983-8

  • Online ISBN: 978-3-540-39447-1

  • eBook Packages: Springer Book Archive

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