Finding the number of roots of a polynomial in a plane region using the winding number
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[1] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .
[2] J. N. Lyness,et al. A Numerical Method for Locating the Zeros of an Analytic Function , 1967 .
[3] R. A. Silverman,et al. Introductory Real Analysis , 1972 .
[4] P. Henrici. Power series, integration, conformal mapping, location of zeros , 1974 .
[5] Henry C. Thacher,et al. Applied and Computational Complex Analysis. , 1988 .
[6] Alkiviadis G. Akritas,et al. Polynomial real root isolation using Descarte's rule of signs , 1976, SYMSAC '76.
[7] James Renegar,et al. On the worst-case arithmetic complexity of approximating zeros of polynomials , 1987, J. Complex..
[8] Xingren Ying,et al. A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain , 1988 .
[9] Eric Schechter,et al. Handbook of Analysis and Its Foundations , 1996 .
[10] Victor Y. Pan,et al. Solving a Polynomial Equation: Some History and Recent Progress , 1997, SIAM Rev..
[11] Marc Van Barel,et al. Computing the Zeros of Analytic Functions , 2000 .
[12] C. Yap,et al. Amortized Bound for Root Isolation via Sturm Sequences , 2007 .
[13] Chee-Keng Yap,et al. Theory of Real Computation According to EGC , 2008, Reliable Implementation of Real Number Algorithms.
[14] Chee-Keng Yap,et al. A simple but exact and efficient algorithm for complex root isolation , 2011, ISSAC '11.
[15] Jerzy Stefan Respondek,et al. Numerical recipes for the high efficient inverse of the confluent Vandermonde matrices , 2011, Appl. Math. Comput..
[16] Juan Carlos Díaz Martín,et al. A geometric algorithm for winding number computation with complexity analysis , 2012, J. Complex..
[17] J. L. Zapata,et al. A Geometrical Root Finding Method for Polynomials, with Complexity Analysis , 2013, 1308.4217.
[18] Chee-Keng Yap,et al. Analytic Root Clustering: A Complete Algorithm Using Soft Zero Tests , 2013, CiE.