Articles with "homotopy continuation" as a keyword



Crack identification of beam structures using homotopy continuation algorithm

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Published in 2017 at "Inverse Problems in Science and Engineering"

DOI: 10.1080/17415977.2016.1141206

Abstract: Abstract An approach based on homotopy continuation algorithm is presented to identify the parameters of a cracked beam. Euler–Bernoulli finite beam element with a fully opened crack model is adopted to establish the dynamic equation… read more here.

Keywords: homotopy continuation; continuation algorithm; crack; beam ... See more keywords

Coupling Matrix Diagnosis by the Levenberg–Marquardt Algorithm With Homotopy Continuation

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Published in 2024 at "IEEE Transactions on Microwave Theory and Techniques"

DOI: 10.1109/tmtt.2023.3322746

Abstract: This article introduces a novel coupling matrix diagnosis technique based on the Levenberg–Marquardt algorithm (LMA). Unlike many existing coupling matrix extraction approaches that involve fitting measurement or simulation data with rational functions, synthesizing a transversal… read more here.

Keywords: coupling matrix; matrix diagnosis; homotopy continuation;

Fixed Points of Belief Propagation—An Analysis via Polynomial Homotopy Continuation

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Published in 2018 at "IEEE Transactions on Pattern Analysis and Machine Intelligence"

DOI: 10.1109/tpami.2017.2749575

Abstract: Belief propagation (BP) is an iterative method to perform approximate inference on arbitrary graphical models. Whether BP converges and if the solution is a unique fixed point depends on both the structure and the parametrization… read more here.

Keywords: homotopy continuation; fixed point; belief propagation; fixed points ... See more keywords

The Feasibility of Homotopy Continuation Method for a Nonlinear Matrix Equation

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Published in 2020 at "Mathematical Problems in Engineering"

DOI: 10.1155/2020/1787058

Abstract: In this paper, we discuss the feasibility of homotopy continuation method for the nonlinear matrix equations with . This iterative method does not depend on a good initial approximation to the solution of matrix equation. read more here.

Keywords: homotopy continuation; nonlinear matrix; matrix equation; continuation method ... See more keywords