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On relations betweenR a Rb transformation and canonical diagonal form of λ-matrix

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Abstract

R aRb transformation over λ-matrix is defined and explored. Relations betweenR aRb transformation over λ-matrix and canonical diagonal form of λ-matrix are investigated and some results are given.

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References

  1. Gantmacher, F. R.,The Theory of Matrices, New York: Chelsea Publishing Company, 1959.

    MATH  Google Scholar 

  2. Forney, G. D., Convolution codes (I): Algebraic structure,IEEE Trans. on Information Theory, 1970, 16(6): 720.

    Article  MATH  MathSciNet  Google Scholar 

  3. Olson, R. R., Note on feedforward inverses for linear sequential circuits,IEEE Trans. on Computer, 1970, 19 (12): 1216.

    Article  MATH  MathSciNet  Google Scholar 

  4. Tao Jen-chi, Invertible linear finite automata,Scientia, 1973, 16(4): 565;Scientia Sinica (in Chinese), 1973, 16(4):454.

    MATH  Google Scholar 

  5. Tao Renji,Invertibility of Finite Automata, Beijing: Science Press, 1979.

    MATH  Google Scholar 

  6. Chen Shihua, On the structure of weak inverses of a weakly invertible linear finite automaton,Chinese J. of Computers, 1981, 4(6):409.

    Google Scholar 

  7. Chen Shihua, Tao Renji, inAdvances in Cryptology-CHINACRYPT'92 (eds. Tao Renji, Li Xiang, Pei Dingyi), Beijing: Science Press, 1992, 77–86.

    Google Scholar 

  8. Tao Renji, Chen Shihua, Generating a kind of nonlinear finite automata with invertibility by transformation method,Technical Report No. ISCAS-LCS-95-05, Laboratory for Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, June 1995.

    Google Scholar 

  9. Tao Renji, On invertibility of some compound finite automata,Technical Report No. ISCAS-LCS-95-06, Laboratory for Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, June 1995.

    Google Scholar 

  10. Tao Renji, OnR a Rb transformation and inversion of compound finite automata,Technical Report No. ISCAS-LCS-95-10, Laboratory for Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, Oct. 1995.

    Google Scholar 

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Project partially supported by the Chinese Academy of Sciences and the National Natural Science Foundation of China.

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Tao, R., Feng, P. On relations betweenR a Rb transformation and canonical diagonal form of λ-matrix. Sci. China Ser. E-Technol. Sci. 40, 258–268 (1997). https://doi.org/10.1007/BF02916601

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  • DOI: https://doi.org/10.1007/BF02916601

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