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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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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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Some properties of smooth convex functions and Newton’s method. (English. Russian original) Zbl 1480.90192

Dokl. Math. 103, No. 2, 76-80 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 12-17 (2021).
MSC:  90C25 90C53
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Isogeometric methods for free boundary problems. (English) Zbl 07390540

van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 131-155 (2021).
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