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- W2339412327 abstract "The reliability of polyhedral homotopy continuation methods for solving a polynomial system becomes increasingly important as the dimension of the polynomial system increases. High powers of the homotopy continuation parameter t and ill-conditioned Jacobian matrices encountered in tracing of homotopy paths aect the numerical stability. We present modied homotopy functions with a new homotopy continuation parameter s and various scaling strategies to enhance the numerical stability. Advantages of employing the new homotopy parameter s are discussed. Numerical results are included to illustrate improved performance of the presented techniques. AMS subject classication. Primary: 65H10 Systems of equations Secondary: 65H20 Global methods, including homotopy approaches" @default.
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- W2339412327 date "2003-01-01" @default.
- W2339412327 modified "2023-09-22" @default.
- W2339412327 title "in Polyhedral Homotopy Continuation Methods" @default.
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