Kaufmann, ChristophChristophKaufmannLe Borne, SabineSabineLe BorneLichtenberg, GerwaldGerwaldLichtenbergWallgram, Simon LeviSimon LeviWallgram2026-09-162026-09-162026-09-05Results in Applied Mathematics 31 (C): 100762 (2026)https://hdl.handle.net/11420/64884Many problems in engineering involve the analysis and model-based control of nonlinear systems. Often a tradeoff exists between the fidelity of the model and the computational complexity of analysis and design algorithms. Multilinear models offer significant advantages in this regard since they can be represented as tensors which enables efficient representation and computation, even in high-dimensional settings. This paper deals with the multilinearization of polynomial models through linear transformation. We are able to provide a comprehensive analysis for the case of two variables. For the higher dimensional case, we propose partial solutions which exploit our results for the two-dimensional case. We perform theoretical runtime analyses of the resulting algorithms which we also illustrate through numerical results.en2590-03742026CElsevierhttps://creativecommons.org/licenses/by/4.0/46G2547H60Polynomial modelsLinear transformationMultilinearizationNatural Sciences and Mathematics::510: MathematicsJournal Article2026-09-1610.1016/j.rinam.2026.10076210.15480/882.18451