Suchergebnisse - Bivariate root-finding algorithm

Robust Calculation of the Modes in Parabolic Cylinder Metallic Waveguides by Means of a Root-Finding Method for Bivariate Functions von Moran-Lopez, Ana, Corcoles, Juan, Ruiz-Cruz, Jorge A., Montejo-Garai, Jose R., Rebollar, Jesus M.

“… This is not only due to its challenging manufacture, which nowadays can be addressed by modern techniques, but also because of its more complex resolution, involving root finding in a pair of coupled …”
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Direct computation of parabolic waveguide modes via a bivariate root-finding algorithm von Moran-Lopez, Ana, Corcoles, Juan, Ruiz-Cruz, Jorge A., Montejo-Garai, Jose R., Rebollar, Jesus M.

“… However, a novel algorithm for bivariate problems has been found to be a good alternative for the root-finding process, allowing to solve all roots at once in a specified subdomain, without …”
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From approximate factorization to root isolation with application to cylindrical algebraic decomposition von Mehlhorn, Kurt, Sagraloff, Michael, Wang, Pengming

“… We present an algorithm for isolating all roots of an arbitrary complex polynomial p that also works in the presence of multiple roots provided that (1 …”
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A Quadratic Clipping Step with Superquadratic Convergence for Bivariate Polynomial Systems von Jüttler, Bert, Moore, Brian

“… A new numerical approach to compute all real roots of a system of two bivariate polynomial equations over a given box is described …”
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Bivariate polynomial solver by values von Shakoori, Azar

“… ) polynomial equations described by their values or some of the derivatives at some nodes. The polynomial root-finding problem has a long and rich history in computational mathematics, mainly because of its frequent applications in engineering …”
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