Zhonggang Zeng
- D.J. Bates, C. Peterson and A.J. Sommese, A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set, IEEE Trans. Signal Processing, 52 (2003), pp. 3394--3402.Google Scholar
- D.J. Bates, J.D. Hauenstein, A.J. Sommese and C.W. Wampler II, Software for numerical algebraic geometry: A paradigm and progress towards its implementation, in Software for Algebraic Geometry, IMA Volume 148, M. Stillman, N. Takayama, and J. Verschelde, eds., Springer, 2008, pp. 1--14.Google Scholar
- R. M. Corless, S. M. Watt, and L. Zhi, QR factoring to compute the GCD of univariate approximate polynomials, IEEE Trans. Signal Processing, 52 (2003), pp. 3394--3402. Google ScholarDigital Library
- B. Dayton, T.Y. Li and Z. Zeng, Multiple zeros of nonlinear systems Mathematics of Computation, Vol. 80, pp. 2143--2168, 2011Google Scholar
- S. Gao, E. Kaltofen, J. May, Z. Yang, and L. Zhi, Approximate factorization of multivariate polynomials via differential equations. Proc. ISSAC '04, ACM Press, pp 167--174, 2004. Google ScholarDigital Library
- C.-P. Jeannerod and G. Labahn, The SNAP package for arithemetic with numeric polynomials. In International Congress of Mathematical Software, World Scientific, pages 61--71, 2002.Google Scholar
- E. Kaltofen, Challenges of symbolic computation: My favorite open problems, J. Symb. Comput., 29, pp.161--168, 2000. Google ScholarDigital Library
- A.J. Sommese and C.W. Wampler II, The Numerical Solution of Systems of Polynomials, World Scientific Pub., Hackensack, NJ. 2005Google Scholar
- H. J. Stetter, Numerical Polynomial Algebra, SIAM, 2004. Google ScholarDigital Library
- J. Verschelde, Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation, ACM Trans. on Math. Software, 25(1999), pp. 251--276. Google ScholarDigital Library
- Z. Zeng, A polynomial elimination method for symbolic and numerical computation. 409(2008) pp. 318--331. Google ScholarDigital Library
- Z. Zeng, Computing multiple roots of inexact polynomials, Math. Comp., 74 (2005), pp. 869--903.Google ScholarCross Ref
- Z. Zeng, ApaTools: A Maple and Matlab toolbox for approximate polynomial algebra, in Software for Algebraic Geometry, IMA Volume 148, M. Stillman, N. Takayama, and J. Verschelde, eds., Springer, 2008, pp. 149--167.Google Scholar
- Z. Zeng and B. Dayton, The approximate GCD of inexact polynomials. II: A multivariate algorithm. Proceedings of ISSAC'04, ACM Press, pp 320--327. (2006). Google ScholarDigital Library
Index Terms
- NAClab: a Matlab toolbox for numerical algebraic computation
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