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## Ivanov, Ivan Ganchev

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 Author ID: ivanov.ivan-ganchev Published as: Ivanov, I.; Ivanov, I. G.; Ivanov, Ivan; Ivanov, Ivan G.; Ivanov, Ivan Ganchev; Ivanov, Ivan Gantchev Homepage: https://www.uni-sofia.bg/index.php/eng/the_university/faculties/faculty_of_econo... External Links: ResearchGate · dblp
 Documents Indexed: 82 Publications since 1962
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#### Co-Authors

 19 single-authored 9 Dragan, Vasile 8 Hasanov, Vejdi Ismailov 4 Petkov, Milko G. 3 Bogdanova, Boryana C. 3 Minchev, Borislav V. 2 Aberkane, Samir 2 El-Sayed, Salah M. 2 Uhlig, Frank 1 Dochev, Docho T. 1 Gramatikova, D. 1 Imsland, Lars 1 Ivanov, Ivelin G. 1 Mateva, Tonya P. 1 Mintchev, Borislav V. 1 Nedjibov, G. 1 Netov, Nikolay 1 Popa, Ioan-Lucian
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#### Serials

 4 Linear Algebra and its Applications 4 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 3 Applied Mathematics and Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Numerical Mathematics and Stochastics 2 Computers & Mathematics with Applications 2 Mathematica Balkanica. New Series 1 International Journal of Control 1 Journal of the Franklin Institute 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Systems & Control Letters 1 Numerical Algorithms 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Serdica 1 International Journal of Robust and Nonlinear Control 1 Computational and Applied Mathematics 1 Journal of Applied Statistics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics and Computing 1 Applied and Computational Mathematics 1 Algorithms 1 International Journal of Stochastic Analysis 1 Axioms 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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#### Fields

 37 Numerical analysis (65-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 22 Systems theory; control (93-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Probability theory and stochastic processes (60-XX) 2 Difference and functional equations (39-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 313 times in 168 Documents Cited by Year
Improved methods and starting values to solve the matrix equations $$X\pm A^*X^{-1}A=I$$ iteratively. Zbl 1058.65051
Ivanov, Ivan G.; Hasanov, Vejdi I.; Uhlig, Frank
2005
Properties of positive definite solutions of the equation $$X+A^*X^{-2}A=I$$. Zbl 0935.65041
Ivanov, Ivan G.; El-Sayed, Salah M.
1998
On matrix equations $$X\pm A^*X^{-2}A=I$$. Zbl 0979.15007
Ivanov, I. G.; Hasanov, V. I.; Minchev, B. V.
2001
Solutions and perturbation estimates for the matrix equations $$X\pm A^*X^{-n}A=Q$$. Zbl 1063.15012
Hasanov, V. I.; Ivanov, I. G.
2004
On positive definite solutions of the family of matrix equations $$X+A^*X^{-n}A=Q$$. Zbl 1096.15003
Ivanov, Ivan G.
2006
On two perturbation estimates of the extreme solutions to the equations $$X \pm A^*X^{-1}A = Q$$. Zbl 1087.15016
Hasanov, V. I.; Ivanov, I. G.
2006
A new modification of Newton’s method. Zbl 1333.65052
Hasanov, V. I.; Ivanov, I. G.; Nedjibov, G.
2002
Improved perturbation estimates for the matrix equations $$X \pm A^{*} X^{-1} A=Q$$. Zbl 1039.15005
Hasanov, V. I.; Ivanov, I. G.; Uhlig, F.
2004
A new modification of the Rojo method for solving symmetric circulant five-diagonal systems of linear equations. Zbl 1001.65028
El-Sayed, S. M.; Ivanov, I. G.; Petkov, M. G.
1998
On some iterations for optimal control of jump linear equations. Zbl 1162.65020
Ivanov, Ivan Ganchev
2008
Iterations for solving a rational Riccati equation arising in stochastic control. Zbl 1127.65025
Ivanov, Ivan Ganchev
2007
Perturbation analysis for solutions of $$X \pm A^{\ast}X^{-n} A = Q$$. Zbl 1076.15015
Ivanov, I. G.
2005
A numerical procedure to compute the stabilising solution of game theoretic Riccati equations of stochastic control. Zbl 1245.93136
Dragan, Vasile; Ivanov, Ivan
2011
Properties of Stein (Lyapunov) iterations for solving a general Riccati equation. Zbl 1122.65041
Ivanov, Ivan Ganchev
2007
Positive definite solutions of the equation $$X+ A^* X^{-n} A= I$$. Zbl 0978.65032
Hassanov, Vejdi; Ivanov, Ivan
2001
Stein iterations for the coupled discrete-time Riccati equations. Zbl 1190.65066
Ivanov, Ivan Ganchev
2009
On the matrix equation $$X-A^* X^{-n} A = I$$. Zbl 1081.65036
Hasanov, Vejdi I.; Ivanov, Ivan G.
2005
A method to solve the discrete-time coupled algebraic Riccati equations. Zbl 1162.65021
Ivanov, Ivan Ganchev
2008
Modeling genetic regulatory networks: continuous or discrete? Zbl 1105.92015
Ivanov, Ivan; Dougherty, Edward R.
2006
PCAN: probabilistic correlation analysis of two non-normal data sets. Zbl 1390.62325
Zoh, Roger S.; Mallick, Bani; Ivanov, Ivan; Baladandayuthapani, Veera; Manyam, Ganiraju; Chapkin, Robert S.; Lampe, Johanna W.; Carroll, Raymond J.
2016
On computing the stabilizing solution of a class of discrete-time periodic Riccati equations. Zbl 1312.93068
Dragan, Vasile; Aberkane, Samir; Ivanov, Ivan G.
2015
Computation of the stabilizing solution of game theoretic Riccati equation arising in stochastic $$H_\infty$$ control problems. Zbl 1219.93114
Dragan, Vasile; Ivanov, Ivan G.
2011
Reduction mappings between probabilistic Boolean networks. Zbl 1062.92001
Ivanov, Ivan; Dougherty, Edward R.
2004
On the mean square minimization of the final value of an output of a linear stochastic controlled system. Zbl 1438.49053
Dragan, Vasile; Ivanov, Ivan G.
2018
Iterative algorithms for computing the feedback Nash equilibrium point for positive systems. Zbl 1362.49022
Ivanov, I.; Imsland, Lars; Bogdanova, B.
2017
The LMI approach for stabilizing of linear stochastic systems. Zbl 1276.93078
Ivanov, Ivan
2013
Accelerated LMI solvers for the maximal solution to a set of discrete-time algebraic Riccati equations. Zbl 1287.65033
Ivanov, Ivan Ganchev
2012
An improved method for solving a system of discrete-time generalized Riccati equations. Zbl 1360.93392
Ivanov, I. G.
2011
Dynamics preserving size reduction mappings for probabilistic Boolean networks. Zbl 1391.94852
Ivanov, Ivan; Pal, Ranadip; Dougherty, Edward R.
2007
A method for solving special circulant pentadiagonal linear systems. Zbl 0966.65029
Ivanov, Ivan G.; Mintchev, Borislav V.
2000
Solution of symmetric and Hermitian $$J$$-symmetric eigenvalue problem. Zbl 0895.65008
Petkov, Milko G.; Ivanov, Ivan G.
1994
Algorithm for solving spectral problem of complex matrix in real arithmetic. Zbl 0900.65093
Ivanov, I. G.
1994
On the mean square minimization of the final value of an output of a linear stochastic controlled system. Zbl 1438.49053
Dragan, Vasile; Ivanov, Ivan G.
2018
Iterative algorithms for computing the feedback Nash equilibrium point for positive systems. Zbl 1362.49022
Ivanov, I.; Imsland, Lars; Bogdanova, B.
2017
PCAN: probabilistic correlation analysis of two non-normal data sets. Zbl 1390.62325
Zoh, Roger S.; Mallick, Bani; Ivanov, Ivan; Baladandayuthapani, Veera; Manyam, Ganiraju; Chapkin, Robert S.; Lampe, Johanna W.; Carroll, Raymond J.
2016
On computing the stabilizing solution of a class of discrete-time periodic Riccati equations. Zbl 1312.93068
Dragan, Vasile; Aberkane, Samir; Ivanov, Ivan G.
2015
The LMI approach for stabilizing of linear stochastic systems. Zbl 1276.93078
Ivanov, Ivan
2013
Accelerated LMI solvers for the maximal solution to a set of discrete-time algebraic Riccati equations. Zbl 1287.65033
Ivanov, Ivan Ganchev
2012
A numerical procedure to compute the stabilising solution of game theoretic Riccati equations of stochastic control. Zbl 1245.93136
Dragan, Vasile; Ivanov, Ivan
2011
Computation of the stabilizing solution of game theoretic Riccati equation arising in stochastic $$H_\infty$$ control problems. Zbl 1219.93114
Dragan, Vasile; Ivanov, Ivan G.
2011
An improved method for solving a system of discrete-time generalized Riccati equations. Zbl 1360.93392
Ivanov, I. G.
2011
Stein iterations for the coupled discrete-time Riccati equations. Zbl 1190.65066
Ivanov, Ivan Ganchev
2009
On some iterations for optimal control of jump linear equations. Zbl 1162.65020
Ivanov, Ivan Ganchev
2008
A method to solve the discrete-time coupled algebraic Riccati equations. Zbl 1162.65021
Ivanov, Ivan Ganchev
2008
Iterations for solving a rational Riccati equation arising in stochastic control. Zbl 1127.65025
Ivanov, Ivan Ganchev
2007
Properties of Stein (Lyapunov) iterations for solving a general Riccati equation. Zbl 1122.65041
Ivanov, Ivan Ganchev
2007
Dynamics preserving size reduction mappings for probabilistic Boolean networks. Zbl 1391.94852
Ivanov, Ivan; Pal, Ranadip; Dougherty, Edward R.
2007
On positive definite solutions of the family of matrix equations $$X+A^*X^{-n}A=Q$$. Zbl 1096.15003
Ivanov, Ivan G.
2006
On two perturbation estimates of the extreme solutions to the equations $$X \pm A^*X^{-1}A = Q$$. Zbl 1087.15016
Hasanov, V. I.; Ivanov, I. G.
2006
Modeling genetic regulatory networks: continuous or discrete? Zbl 1105.92015
Ivanov, Ivan; Dougherty, Edward R.
2006
Improved methods and starting values to solve the matrix equations $$X\pm A^*X^{-1}A=I$$ iteratively. Zbl 1058.65051
Ivanov, Ivan G.; Hasanov, Vejdi I.; Uhlig, Frank
2005
Perturbation analysis for solutions of $$X \pm A^{\ast}X^{-n} A = Q$$. Zbl 1076.15015
Ivanov, I. G.
2005
On the matrix equation $$X-A^* X^{-n} A = I$$. Zbl 1081.65036
Hasanov, Vejdi I.; Ivanov, Ivan G.
2005
Solutions and perturbation estimates for the matrix equations $$X\pm A^*X^{-n}A=Q$$. Zbl 1063.15012
Hasanov, V. I.; Ivanov, I. G.
2004
Improved perturbation estimates for the matrix equations $$X \pm A^{*} X^{-1} A=Q$$. Zbl 1039.15005
Hasanov, V. I.; Ivanov, I. G.; Uhlig, F.
2004
Reduction mappings between probabilistic Boolean networks. Zbl 1062.92001
Ivanov, Ivan; Dougherty, Edward R.
2004
A new modification of Newton’s method. Zbl 1333.65052
Hasanov, V. I.; Ivanov, I. G.; Nedjibov, G.
2002
On matrix equations $$X\pm A^*X^{-2}A=I$$. Zbl 0979.15007
Ivanov, I. G.; Hasanov, V. I.; Minchev, B. V.
2001
Positive definite solutions of the equation $$X+ A^* X^{-n} A= I$$. Zbl 0978.65032
Hassanov, Vejdi; Ivanov, Ivan
2001
A method for solving special circulant pentadiagonal linear systems. Zbl 0966.65029
Ivanov, Ivan G.; Mintchev, Borislav V.
2000
Properties of positive definite solutions of the equation $$X+A^*X^{-2}A=I$$. Zbl 0935.65041
Ivanov, Ivan G.; El-Sayed, Salah M.
1998
A new modification of the Rojo method for solving symmetric circulant five-diagonal systems of linear equations. Zbl 1001.65028
El-Sayed, S. M.; Ivanov, I. G.; Petkov, M. G.
1998
Solution of symmetric and Hermitian $$J$$-symmetric eigenvalue problem. Zbl 0895.65008
Petkov, Milko G.; Ivanov, Ivan G.
1994
Algorithm for solving spectral problem of complex matrix in real arithmetic. Zbl 0900.65093
Ivanov, I. G.
1994
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#### Cited by 205 Authors

 22 Ivanov, Ivan Ganchev 14 Hasanov, Vejdi Ismailov 10 Duan, Xuefeng 10 El-Sayed, Salah M. 9 Liao, Anping 6 Ma, Changfeng 5 Argyros, Ioannis Konstantinos 5 El-Shazly, Naglaa M. 5 Ramadan, Mohamed Abdel-Latif 5 Yin, Xiaoyan 4 Al-Dubiban, Asmaa M. 4 Dragan, Vasile 4 George, Santhosh 4 Huang, Na 4 Li, Jing 4 Liu, Sanyang 3 Babajee, Diyashvir Kreetee Rajiv 3 Chen, Guoliang 3 Fang, Liang 3 Shah, Farooq Ahmed 3 Wang, Qingwen 3 Xu, Jianhong 3 Zhang, Juan 3 Zhang, Yuhai 2 Al-Dbiban, Asmaa M. 2 Berzig, Maher 2 Bogdanova, Boryana C. 2 Cai, Jing 2 Chen, Dongyan 2 Chiang, Chun-Yueh 2 Chun, Changbum 2 Dauhoo, Muhammad Zaid 2 Fan, Hung-Yuan 2 Gao, Dongjie 2 Garey, L. E. 2 Guo, Chun-Hua 2 Hossein, Sk. Monowar 2 Huang, Baohua 2 Ivanov, Ivelin G. 2 Kim, Hyun-Min 2 King-wah Chu, Eric 2 Li, Chunmei 2 Liu, Jianzhou 2 Minchev, Borislav V. 2 Naqvi, Syed Muhammad Raza Shah 2 Nemani, S. S. 2 Neta, Beny 2 Noor, Muhammad Aslam 2 Peng, Zhenyun 2 Petkov, Milko G. 2 Rajasingam, Prasanthan 2 Ren, Hongmin 2 Reurings, Martine C. B. 2 Samet, Bessem 2 Shen, Jihong 2 Uhlig, Frank 2 Wei, Musheng 2 Wu, Guoxing 2 Yao, Guozhu 2 Zhao, Yanfeng 2 Zhou, Duanmei 1 Aberkane, Samir 1 Adam, Maria 1 Ali, Aynur A. 1 Ali, Harouna Souley 1 Ali, Hasem 1 Alonso, Pedro 1 Anping, Liao 1 Assimakis, Nicholas D. 1 Barbata, Asma 1 Benahmed, Boubakeur 1 Bittner, Michael L. 1 Bose, Snehasish 1 Cai, Guangbin 1 Cao, Jinde 1 Chacha, Chacha Stephen 1 Chatbouri, Ridha 1 Chen, Bo 1 Chen, Jen-Yuan 1 Chen, Zhencheng 1 Cheng, Mingsong 1 Chu, Moody T. 1 Datta, Aniruddha A. 1 Dehghan, Reza 1 Deng, Xinwei 1 Ding, Zhengtao 1 Dong, Ning 1 Dougherty, Edward R. 1 Du, Shuanping 1 El-Alem, Mahmoud M. 1 El-Danaf, Talaat S. Aly 1 Erappa, Shobha Monnanda 1 Feng, Dongqin 1 Fital, Sandra 1 Gao, Hua 1 Gaynanova, Irina 1 Hakkaev, Sevdzhan A. 1 He, Shuping 1 Hou, Jinchuan 1 Hu, Jianqiang ...and 105 more Authors
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#### Cited in 57 Serials

 31 Applied Mathematics and Computation 20 Linear Algebra and its Applications 8 Computers & Mathematics with Applications 8 International Journal of Computer Mathematics 7 Journal of Computational and Applied Mathematics 7 Numerical Algorithms 6 Linear and Multilinear Algebra 5 Abstract and Applied Analysis 4 Journal of Applied Mathematics 4 Journal of Applied Mathematics and Computing 3 Journal of the Franklin Institute 3 Numerical Functional Analysis and Optimization 3 International Journal of Robust and Nonlinear Control 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 2 International Journal of Control 2 Automatica 2 Bulletin of the Iranian Mathematical Society 2 Applied Mathematics Letters 2 Journal of the Egyptian Mathematical Society 2 Complexity 2 ELA. The Electronic Journal of Linear Algebra 2 Advances in Difference Equations 2 Algorithms 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 International Journal of Systems Science 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Mathematics of Computation 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Matematički Vesnik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Chemistry 1 Positivity 1 Novi Sad Journal of Mathematics 1 Journal of Inequalities and Applications 1 The ANZIAM Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Fixed Point Theory and Applications 1 Statistical Analysis and Data Mining 1 The Annals of Applied Statistics 1 International Journal of Stochastic Analysis 1 Afrika Matematika 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Applied Analysis and Computation 1 Axioms 1 Mathematical Sciences 1 Journal of Function Spaces 1 Chinese Journal of Mathematics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics
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#### Cited in 21 Fields

 115 Linear and multilinear algebra; matrix theory (15-XX) 114 Numerical analysis (65-XX) 33 Systems theory; control (93-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Operator theory (47-XX) 8 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Operations research, mathematical programming (90-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)