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- W4319834848 abstract "In this paper, we propose to solve Pareto eigenvalue complementarity problems by using interior-point methods. Precisely, we focus the study on an adaptation of the Mehrotra Predictor Corrector Method (MPCM) and a Non-Parametric Interior Point Method (NPIPM). We compare these two methods with two alternative methods, namely the Lattice Projection Method (LPM) and the Soft Max Method (SM). On a set of data generated from the Matrix Market, the performance profiles highlight the efficiency of MPCM and NPIPM for solving eigenvalue complementarity problems. We also consider an application to a concrete and large size situation corresponding to a geomechanical fracture problem. Finally, we discuss the extension of MPCM and NPIPM methods to solve quadratic pencil eigenvalue problems under conic constraints." @default.
- W4319834848 created "2023-02-11" @default.
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- W4319834848 date "2023-01-16" @default.
- W4319834848 modified "2023-09-30" @default.
- W4319834848 title "Interior point methods for solving Pareto eigenvalue complementarity problems" @default.
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- W4319834848 doi "https://doi.org/10.1080/10556788.2022.2152023" @default.
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