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On Hensel construction of eigenvalues and eigenvectors of matrices with polynomial entries
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents
Kiev, Ukraine
Pages: 218 - 224  
Year of Publication: 1993
ISBN:0-89791-604-2
Authors
Kazuhiro Yokoyama
Taku Takeshima
Sponsor
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 10,   Citation Count: 1
Additional Information:

references   cited by   index terms   collaborative colleagues  

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Kaltofen, E. (1985), Polynomial-time reductions from multivariate to bi- and univariate integral polynomial factorization, SIAM J. Comput., 14, 469-489.
 
2
E. V. Krishnamurthy, Error-free polynomial matrix computations, Springer-Verlag New York, Inc., New York, NY, 1985
 
3
Lauer, M. (1983), Generalized p-adic constructions, SIAM J. Comput., 12, 395-410.
 
4
Kazuhiro Yokoyama , Masayuki Noro , Taku Takeshima, Computing primitive elements of extension fields, Journal of Symbolic Computation, v.8 n.6, p.553-580, Dec. 1989  [doi>10.1016/S0747-7171(89)80061-6]
 
5
Kazuhiro Yokoyama , Masayuki Noro , Taku Takeshima, Solutions of systems of algebraic equations and linear maps on residue class rings, Journal of Symbolic Computation, v.14 n.4, p.399-417, Oct. 1992  [doi>10.1016/0747-7171(92)90014-U]
 
6
Richard Zippel, Interpolating polynomials from their values, Journal of Symbolic Computation, v.9 n.3, p.375-403, March 1990  [doi>10.1016/S0747-7171(08)80018-1]

CITED BY
Takuya Kitamoto , Tetsu Yamaguchi, On the Check of Accuracy of the Coefficients of Formal Power Series, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, v.E91-A n.8, p.2101-2110, August 2008

INDEX TERMS

Primary Classification:
  I. Computing Methodologies
  I.1 SYMBOLIC AND ALGEBRAIC MANIPULATION
      I.1.2 Algorithms
          Subjects: Algebraic algorithms

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.1 Numerical Algorithms and Problems
          Subjects: Computations on matrices; Computations on polynomials

  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.3 Numerical Linear Algebra
          Subjects: Eigenvalues and eigenvectors (direct and iterative methods)


General Terms:
Algorithms, Theory, Verification

Collaborative Colleagues:
Kazuhiro Yokoyama: colleagues
Taku Takeshima: colleagues

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