Efficient Use of Quantum Linear System Algorithms in Inexact Infeasible IPMs for Linear Optimization

Author:

Mohammadisiahroudi MohammadhosseinORCID,Fakhimi Ramin,Terlaky Tamás

Publisher

Springer Science and Business Media LLC

Reference56 articles.

1. Al-Jeiroudi, G., Gondzio, J.: Convergence analysis of the inexact infeasible interior-point method for linear optimization. J. Optim. Theory Appl. 141(2), 231–247 (2009). https://doi.org/10.1007/s10957-008-9500-5

2. Ambainis, A.: Variable time amplitude amplification and quantum algorithms for linear algebra problems. In: STACS’12 (29th Symposium on Theoretical Aspects of Computer Science), vol. 14, pp. 636–647. LIPIcs (2012). https://bit.ly/3IldDGR

3. Andersen, E.D., Roos, C., Terlaky, T., Trafalis, T., Warners, J.P.: The use of low-rank updates in interior-point methods. In: Yuan, Y. (ed) Numerical Linear Algebra and Optimization, pp. 1–12. Science Press, Beijing, China (2004)

4. Arora, S., Hazan, E., Kale, S.: The multiplicative weights update method: a meta-algorithm and applications. Theory Comput. 8(1), 121–164 (2012). https://doi.org/10.4086/toc.2012.v008a006

5. Augustino, B., Nannicini, G., Terlaky, T., Zuluaga, L.F.: Quantum interior point methods for semidefinite optimization. Quantum 7, 1110 (2023). https://doi.org/10.22331/q-2023-09-11-1110

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