Fiber product homotopy method for multiparameter eigenvalue problems
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DOI: 10.1007/s00211-021-01215-6
Abstract: We develop a new homotopy method for solving multiparameter eigenvalue problems (MEPs) called the fiber product homotopy method. It requires deformation of exponentially fewer equations compared to existing homotopy methods for MEPs. We show that… read more here.
Keywords: fiber product; homotopy method; method; homotopy ... See more keywords
Linear homotopy method for computing generalized tensor eigenpairs
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DOI: 10.1007/s11464-017-0662-z
Abstract: Let m,m′, n be positive integers such that m ≠ m′. Let A be an mth order n-dimensional tensor, and let ℬ be an m′th order n-dimensional tensor. λ ∈ ℂ is called a ℬ-eigenvalue… read more here.
Keywords: homotopy method; linear homotopy; tensor; method ... See more keywords
An Efficient Homotopy Method for Solving the Post-Contingency Optimal Power Flow to Global Optimality
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DOI: 10.1109/access.2022.3224162
Abstract: Optimal power flow (OPF) is a fundamental problem in power systems analysis for determining the steady-state operating point of a power network that minimizes the generation cost. In anticipation of component failures, such as transmission… read more here.
Keywords: homotopy method; contingency; power; problem ... See more keywords