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Primal-dual Newton method with steepest descent for the linear semidefinite programming problem: iterative process. (English. Russian original) Zbl 07538080

Comput. Math. Math. Phys. 62, No. 4, 581-598 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 597-615 (2022).
MSC:  90C22 90C53
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Unstructured space-time finite element methods for optimal sparse control of parabolic equations. (English) Zbl 1487.49004

Herzog, Roland (ed.) et al., Optimization and control for partial differential equations. Uncertainty quantification, open and closed-loop control, and shape optimization. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 29, 167-188 (2022).
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Primal-dual Newton method with steepest descent for the linear semidefinite programming problem: Newton’s system of equations. (English. Russian original) Zbl 1487.90519

Comput. Math. Math. Phys. 62, No. 2, 232-247 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 2, 232-248 (2022).
MSC:  90C22 90C53
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