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On algebras and applications of operators with pseudosparse matrices

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References

  1. S. Pissanetzky, Sparse Matrix Technology [Russian translation], Mir, Moscow (1988).

    Google Scholar 

  2. O. Østerby and Z. Zlatev, Direct Methods for Sparse Matrices [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  3. V. P. Il'in, Incomplete Factorization Methods, World Scientific Publ. Co., Singapore (1992).

    Google Scholar 

  4. J. M. Ortega, Introduction to Parallel and Vector Solution of Linear Systems [Russian translation], Mir, Moscow (1991).

    Google Scholar 

  5. V. P. Il'in, “On the rate of convergence of iterations of implicit incomplete factorization methods,” Zh. Vychisl. Matematiki i Mat. Fiziki,33, No. 1, 3–11 (1993).

    Google Scholar 

  6. I. A. Blatov, “Estimates for the entries of inverse matrices and modifications of the matrix sweep method,” Sibirsk. Mat. Zh.,33, No. 2, 10–21 (1992).

    Article  Google Scholar 

  7. I. A. Blatov and A. A. Terteryan, “Estimates for the entries of inverse matrices and incomplete block factorization methods based on the matrix sweep,” Zh. Vychisl. Matematiki i Mat. Fiziki,32, No. 11, 1683–1696 (1992).

    Google Scholar 

  8. I. A. Blatov, “On incomplete block factorization methods for systems with sparse matrices,” Zh. Vychisl. Matematiki i Mat. Fiziki,33, No. 6, 819–836 (1993).

    Google Scholar 

  9. R. E. Edwards, Fourier Series. A Modern Introduction. Vol. 2 [Russian translation], Mir, Moscow (1985).

    Google Scholar 

  10. C. de Boor, “A bound on theL -norm of theL 2-approximation by splines in terms of a global mesh ratio,” Math. Comp.,30, 689–694 (1976).

    Google Scholar 

  11. V. V. Strygin and V. V. Sirunyan, “The Galërkin method for singularly-perturbed boundary value problems on adaptive grids,” Sibirsk. Mat. Zh.,31, No. 5, 138–148 (1990).

    Google Scholar 

  12. I. A. Blatov and V. V. Strygin, “Fourth order accuracy collocation method for singularlyperturbed boundary value problems,” Sibirsk. Mat. Zh.,34, No. 1, 16–31 (1993).

    Google Scholar 

  13. M. A. Shubin, “Pseudodifference operators and their Green's function,” Izv. Akad. Nauk SSSR Ser. Mat.,49, No. 3, 652–671 (1985).

    Google Scholar 

  14. V. G. Kurbatov, “On algebras of difference and integral operators,” Funktsional. Analiz i Prilozh.,24, No. 2, 87–88 (1990).

    Google Scholar 

  15. V. G. Kurbatov, Linear Difference-Differential Equations [in Russian], Voronezh. Univ., Voronezh (1990).

    Google Scholar 

  16. S. Demko, W. F. Moss, and P. W. Smith, “Decay rates for inverses of band matrices,” Math. Comp.,43, No. 167, 491–499 (1984).

    Google Scholar 

  17. M. A. Naîmark, Linear Differential Equations [Russian translation], Nauka, Moscow (1969).

    Google Scholar 

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Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 37, No. 1, pp. 36–59, January–February, 1996.

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Blatov, I.A. On algebras and applications of operators with pseudosparse matrices. Sib Math J 37, 32–52 (1996). https://doi.org/10.1007/BF02104758

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  • DOI: https://doi.org/10.1007/BF02104758

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