Persons: Zhdanov, Aleksandr Ivanovich

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Zhdanov, Aleksandr Ivanovich

Total publications:	41 (41)
in MathSciNet:	21 (21)
in zbMATH:	25 (25)
in Web of Science:	14 (14)
in Scopus:	21 (21)
Cited articles:	26
Citations:	129

Number of views:
This page:	2612
Abstract pages:	10980
Full texts:	5095
References:	966

Professor

Doctor of physico-mathematical sciences

Speciality:

05.13.18 (Mathematical modelling, calculating methods, and the program systems)

E-mail:

Keywords:

ill-posed problems, augmented regularized normal system of equation, numerical algorithm.

Biography

In 1975 graduated from Automatic Equipment and Measuring Technique Faculty of Kuibyshev Polytechnical Institute, in 1983 postgraduate study of Institute of Problems of Control of Academy of Sciences of the USSR (Moscow) and in the same place defended the masters thesis in "An engineering cybernetics and the information theory", in 1992 defended at the St. Petersburg Technical University the dissertation on competition of an academic degree of the doctor of physical and mathematical sciences. Since 1993 professor on department of applied Mathematics. From 1992 to 2012 – the head of Applied Mathematics department of Samara State Aerospace University. Since December, 2012 to the present – the dean of distant and additional education faculty and the head of igher Mathematics & Computer Science department of Samara State Technical University.

https://www.mathnet.ru/eng/person41724

List of publications on Google Scholar

https://zbmath.org/authors/?q=ai:zhdanov.aleksandr-ivanovich

https://mathscinet.ams.org/mathscinet/MRAuthorID/208046

https://elibrary.ru/author_items.asp?authorid=107004

https://orcid.org/0000-0001-6082-9097

https://publons.com/researcher/1610458

https://www.webofscience.com/wos/author/record/E-1433-2014

https://www.scopus.com/authid/detail.url?authorId=7102747969

Full list of publications:

scientific publications

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by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	A. K. Kaveev, G. I. Kropotov, E. V. Tsygankova, I. A. Tzibizov, S. D. Ganichev, S. N. Danilov, P. Olbrich, C. Zoth, E. G. Kaveeva, A. I. Zhdanov, A. A. Ivanov, R. Z. Deyanov, B. Redlich, “Terahertz polarization conversion with quartz waveplate sets”, Applied Optics, 52:4 (2013), B60–B69	45 ^[x]
2.	A. I. Zhdanov, “The method of augmented regularized normal equations”, Comput. Math. Math. Phys., 52:2 (2012), 194–197
3.	A. I. Zhdanov, “The solution of ill-posed stochastic linear algebraic equations by the maximum likelihood regularization method”, U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 93–96
4.	A. I. Zhdanov, Y. V. Sidorov, “Parallel implementation of a randomized regularized Kaczmarz's algorithm”, Computer Optics, 39:4 (2015), 536–541
5.	A. I. Zhdanov, “About one numerical stable algorithm for solving system linear algebraic equations of defect rank”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(16) (2008), 149–153
6.	A. I. Zhdanov, P. A. Shamarov, “The direct projection method in the problem of complete least squares”, Autom. Remote Control, 61:4 (2000), 610–620
7.	A. I. Zhdanov, “Recurrent estimation of minimal eigenvalues of information matrices”, Avtomat. i Telemekh., 1987, no. 4, 26–36
8.	A. I. Zhdanov, “Direct recurrence algorithms for solving the linear equations of the method of least squares”, Comput. Math. Math. Phys., 34:6 (1994), 693–701
9.	D. V. Ivanov, A. I. Zhdanov, “Implicit iterative algorithm for solving regularized total least squares problems”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 26:2 (2022), 311–321 ;	3 ^[x]
10.	A. I. Zhdanov, “Implicit iterative schemes based on singular decomposition and regularizing algorithms”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:3 (2018), 549–556	3 ^[x]
11.	A. I. Zhdanov, A. A. Ivanov, “Projection Regularization Algorithm for Solving Linear Algebraic System of Large Dimension”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 309–312
12.	A. I. Zhdanov, O. A. Katsyuba, “Identification by the method of least squares of autoregression equation parameters with additive measurement errors”, Autom. Remote Control, 43:2 (1982), 158–166
13.	I. A. Tzibizov, A. K. Kaveev, G. I. Kropotov, D. I. Tsypishka, A. I. Zhdanov, A. A. Ivanov, “Novel conception of the terahertz-range spectrometer based on fabry-perot interferometer”, 38th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz 2013; Mainz; Germany; 1 September 2013 do 6 September), International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz), 2013, 6665441	2 ^[x]
14.	A. I. Zhdanov, “Approximate stochastic systems of linear algebraic equations”, U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 122–130
15.	A. I. Zhdanov, O. A. Katsyuba, “Specifics of applying the method of least squares to estimation of linear difference operators in identification prorlems”, Autom. Remote Control, 40:8 (1980), 1169–1175
16.	A. I. Zhdanov, “Implicit iterative schemes based on augmented linear systems”, Dokl. Math., 105:2 (2022), 131–134
17.	A. I. Zhdanov, Yu. V. Sidorov, “On a method for calculating generalized normal solutions of underdetermined linear systems”, Computer Optics, 44:1 (2020), 133–136
18.	A. I. Zhdanov, Yu. V. Sidorov, “The row-oriented form of the regularized Kaczmarz's method”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:3 (2017), 546–555
19.	A. I. Zhdanov, “Ob odnoi modifikatsii iteratsionnogo algoritma Kachmazha”, Trudy sedmoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (3–6 iyunya 2010 g.). Chast 4, Informatsionnye tekhnologii v matematicheskom modelirovanii, Matem. modelirovanie i kraev. zadachi, Samarskii gosudarstvennyi tekhnicheskii universitet, Samara, 2010, 75–77	1 ^[x]
20.	V. V. Dolishnii, A. I. Zhdanov, “Vychislenie parametra regulyarizatsii metodom perekrestnoi znachimosti na osnove ekvivalentnykh normalnykh rasshirennykh sistem”, Trudy sedmoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (3–6 iyunya 2010 g.). Chast 4, Informatsionnye tekhnologii v matematicheskom modelirovanii, Matem. modelirovanie i kraev. zadachi, Samarskii gosudarstvennyi tekhnicheskii universitet, Samara, 2010, 52–55	1 ^[x]
21.	A. I. Zhdanov, “Regularization of unstable finite-dimensional linear problems based on augmented systems”, Comput. Math. Math. Phys., 45:11 (2005), 1845–1853
22.	A. I. Zhdanov, “Calculation of pseudosolutions of ill-posed stochastic linear algebraic equations”, U.S.S.R. Comput. Math. Math. Phys., 31:10 (1991), 109–112
23.	A. I. Zhdanov, “Computation of regularized least squares estimates for the autoregression coefficients on the basis of inaccurate data”, Autom. Remote Control, 51:3 (1990), 368–374
24.	A. I. Zhdanov, “Optimal regularization of solutions of approximate stochastic systems of linear algebraic equations”, U.S.S.R. Comput. Math. Math. Phys., 30:5 (1990), 224–229
25.	A. I. Zhdanov, O. A. Katsyuba, “Strong consistency of estimates made by the method of orthogonal projections”, International Journal of Systems Science, 21:8 (1990), 1463–1471	1 ^[x]
26.	A. I. Zhdanov, “Calculation of solutions of ill-posed stochastic algebraic equations by a regularized method of least squares”, Dokl. Math., 34:5 (1989), 431–433
27.	A. A. Ivanov, A. I. Zhdanov, “The block Kaczmarz algorithm based on solving linear systems with arrowhead matrices”, Applied Mathematics E-Notes, 17 (2017), 142–156
28.	A. I. Zhdanov, E. Yu. Bogdanova, “On a computer implementation of the block Gauss–Seidel method for normal systems of equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:4 (2016), 730–738
29.	A. I. Zhdanov, S. Y. Gogoleva, “Solving least squares problems with equality constraints based on augmented regularized normal equations”, Applied Mathematics E-Notes, 15 (2016), 218–224
30.	A. I. Zhdanov, I. A. Mikhaylov, “A Method of Extended Normal Equations for Tikhonov's Regulatization Problems with Differentiation Operator”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(36) (2014), 132–142
31.	A. A. Ivanov, A. I. Zhdanov, “Kaczmarz algorithm for Tikhonov regularization problem”, Applied Mathematics E-Notes, 13 (2013), 270–276
32.	V. V. Dolishniy, A. I. Zhdanov, “Economy method for multiple solving augmented regularized normal system of equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 214–222
33.	A. I. Zhdanov, T. G. Parchaikina, “The method of regularization of Tikhonov based on augmented systems”, Matrix Methods: Theory, Algorithms and Applications, Dedicated to the Memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations (Moscow, Russia, July 23–27, 2007), World Scientific, Hackensack, NJ, 2010, 579–585
34.	A. I. Zhdanov, A. A. Ivanov, “Evaluation of the optimum number stop iteration in reinstatement impulse response”, Computer Optics, 34:3 (2010), 367–373
35.	A. I. Zhdanov, T. G. Parchaikina, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 4, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 39–41
36.	A. I. Zhdanov, T. G. Parchajkina, “Regularization of unstable least square problems on the basis of augmented systems”, Vychisl. Tekhnol., 12:6 (2007), 44–49
37.	Dokl. Akad. Nauk, Ross. Akad. Nauk, 356:4 (1997), 442–444
38.	A. I. Zhdanov, O. A. Katsyuba, “Recursive estimation of parameters of stochastic linear dynamic systems with output and input errors”, Sov. J. Comput. Syst. Sci., 25:1 (1987), 139–142 ; translation from Izv. Akad. Nauk SSSR, Tekh. Kibern., 1986, no. 3, 191–194
39.	A. I. Zhdanov, O. A. Katsyuba, “Consistency of least-square estimates of parameters of linear difference equations with autocorrelation noise”, Cybernetics, 19:5 (1983), 716–725
40.	A. I. Zhdanov, O. A. Katsyuba, “On consistent estimates of the solutions of ill-posed stochastic algebraic equations in the identification of the parameters of linear difference operators”, Eng. Cybern., 19:5 (1981), 121–127
41.	A. I. Zhdanov, Yu. V. Sidorov, “Implicit iterative scheme based on the pseudo-inversion algorithm and its application”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 28:1 (2024)

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