APLIKASI MATRIKS HANKEL PADA PERHITUNGAN RESULTAN DUA POLINOMIAL

Authors

  • R. Rosnawati Universitas Negeri Yogyakarta Author

DOI:

https://doi.org/10.18269/jpmipa.v3i1.34974

Keywords:

resultan, Hankel matrics, Sylvester method

Abstract

Let F be a field,  f and g in F[x], with degre f is n and degre g is m. Computing resultant two polynomials  with Hankel matrics give a size of matrics less than Sylvester method, that is maximum n or m. 

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Author Biography

  • R. Rosnawati, Universitas Negeri Yogyakarta

    Mathematics

References

Brown, W.C. (1993) Matrices Over Commutative Rings, Marcel Dekker Inc, New York

Griffiths, H.B. (1981) Cayley’s Version of Resultan of Two Polynomials, Amer. Math. Monthy, Vol 88, pp 328-338.

Hartwig, R.E. (1972) The Resultans and The Solutions AX-XB = C, SIAM. J. Appl. Math, 22:538-544

Ma, E.C. (1966) A finite Series Solutions of Matrix Equation AX_XB = C. SIAM. J. Appl. Math, 28 : 490-495.

Orzech, G. (1994) Several Version of Resultant of Two Polynomial, Linear and Multilinear Algebra, Vol 16, pp 275-282.

Prasolov, V.V. (1994) Problem and Theorems in Linear Algebra. American Mathematical Society, Provindence, R.I.

Van der Waerden, B.L. (1953) Modern Algebra, Vol 1, Prederikck Ungar, New York.

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Published

27-06-2002

Issue

Vol. 3 No. 1 (2002): JPMIPA: Volume 3, 2002

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

How to Cite

APLIKASI MATRIKS HANKEL PADA PERHITUNGAN RESULTAN DUA POLINOMIAL. (2002). Jurnal Pengajaran Matematika Dan Ilmu Pengetahuan Alam, 3(1), 71-85. https://doi.org/10.18269/jpmipa.v3i1.34974