Optimization in complex spaces with the mixed Newton method

Author:

Bakhurin Sergei,Hildebrand RolandORCID,Alkousa Mohammad,Titov Alexander,Yudin Nikita

Publisher

Springer Science and Business Media LLC

Reference14 articles.

1. Adali, T., Schreier, P.J.: Optimization and estimation of complex-valued signals: theory and applications in filtering and blind source separation. IEEE Signal Process. Mag. 31(5), 112–128 (2014)

2. Beardon, A.F.: Iteration of Rational Functions. Complex Analytic Dynamical Systems, Graduate Texts in Mathematics, vol. 132. Springer, Berlin (1991)

3. van den Bos, A.: Complex gradient and Hessian. Proc. Inst. Electr. Eng. 141(6), 380–382 (1994)

4. Candan, C.: Properly handling complex differentiation in optimization and approximation problems. IEEE Signal Process. Mag. 36(2), 117–124 (2019)

5. Cayley, M.: Application of the Newton–Fourier method to the imaginary root of an equation. Q. J. Math. 16, 179–185 (1879)

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