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## Ohara, Atsumi

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 Author ID: ohara.atsumi Published as: Ohara, Atsumi; Ohara, A.
 Documents Indexed: 34 Publications since 1991
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#### Co-Authors

 8 single-authored 5 Amari, Shun-ichi 5 Eguchi, Shinto 4 Suda, Nobuhide 3 Kakihara, Satoshi 3 Tsuchiya, Takashi 3 Uohashi, Keiko 2 Fujii, Takao 2 Kanamori, Takafumi 2 Komori, Osamu 2 Masubuchi, Izumi 2 Matsuzoe, Hiroshi 2 Wada, Tatsuaki 1 Ishi, Hideyuki 1 Kamitane, Yoshiyuki 1 Kitamori, Toshiyuki 1 Nakazumi, S. 1 Scarfone, Antonio Maria
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#### Serials

 3 Entropy 1 Modern Physics Letters B 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Automatica 1 Hiroshima Mathematical Journal 1 IEEE Transactions on Automatic Control 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Osaka Journal of Mathematics 1 Systems & Control Letters 1 Linear Algebra and its Applications 1 International Journal of Robust and Nonlinear Control 1 Computational Optimization and Applications 1 Optimization Methods & Software 1 Positivity 1 RIMS Kokyuroku 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 14 Differential geometry (53-XX) 8 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 6 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 276 times in 236 Documents Cited by Year
$$H_ \infty$$ control for descriptor systems: A matrix inequalities approach. Zbl 0881.93024
Masubuchi, Izumi; Kamitane, Yoshiyuki; Ohara, Atsumi; Suda, Nobuhide
1997
LMI-based controller synthesis: A unified formulation and solution. Zbl 0921.93012
Masubuchi, Izumi; Ohara, Atsumi; Suda, Nobuhide
1998
Geometry of $$q$$-exponential family of probability distributions. Zbl 1306.62073
Amari, Shun-Ichi; Ohara, Atsumi
2011
Dualistic differential geometry of positive definite matrices and its applications to related problems. Zbl 0863.15009
Ohara, Atsumi; Suda, Nobuhide; Amari, Shun-ichi
1996
Information geometry of $$q$$-Gaussian densities and behaviors of solutions to related diffusion equations. Zbl 1183.82050
2010
Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization. Zbl 1209.82003
Ohara, Atsumi
2007
Geometric structures of stable state feedback systems. Zbl 0790.93118
Ohara, A.; Kitamori, T.
1993
Geometric study for the Legendre duality of generalized entropies and its application to the porous medium equation. Zbl 1188.82066
Ohara, A.
2009
Differential geometric structures of stable state feedback systems with dual connections. Zbl 0821.93029
Ohara, Atsumi; Amari, Shun-Ichi
1994
Information geometry and interior-point algorithms in semidefinite programs and symmetric cone programs. Zbl 1322.90112
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi
2013
Geometry for $$q$$-exponential families. Zbl 1263.60013
Matsuzoe, Hiroshi; Ohara, Atsumi
2012
Relations between a parametrization of stabilizing state feedback gains and eigenvalue locations. Zbl 0729.93059
Ohara, A.; Nakazumi, S.; Suda, N.
1991
Geometry on positive definite matrices induced from $$V$$-potential function. Zbl 1396.94053
Ohara, Atsumi; Eguchi, Shinto
2013
Information geometry and interior-point algorithms. Zbl 1322.94055
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi
2013
Curvature integrals and iteration complexities in SDP and symmetric cone programs. Zbl 1319.90049
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi
2014
Information geometric analysis of an interior point method for semidefinite programming. Zbl 0945.90037
Ohara, A.
1999
Conformal geometry of escort probability and its applications. Zbl 1262.82004
Ohara, Atsumi; Matsuzoe, Hiroshi; Amari, Shun-Ichi
2012
A Bregman extension of quasi-Newton updates I: An information geometrical framework. Zbl 1288.90108
Kanamori, Takafumi; Ohara, Atsumi
2013
1-conformally flat statistical submanifolds. Zbl 0978.53040
Uohashi, Keiko; Ohara, Atsumi; Fujii, Takao
2000
Group invariance of information geometry on $$q$$-Gaussian distributions induced by beta-divergence. Zbl 1335.62012
Ohara, Atsumi; Eguchi, Shinto
2013
Duality of maximum entropy and minimum divergence. Zbl 1338.62021
Eguchi, Shinto; Komori, Osamu; Ohara, Atsumi
2014
Dualistic differential geometry of positive definite matrices and its application to optimizations and matrix completion problems. Zbl 0822.53008
Ohara, Atsumi; Suda, Nobuhide; Amari, Shun-ichi
1994
A Bregman extension of quasi-Newton updates. II: Analysis of robustness properties. Zbl 1291.90259
Kanamori, Takafumi; Ohara, Atsumi
2013
Geometry on positive definite matrices deformed by $$V$$-potentials and its submanifold structure. Zbl 1317.94043
Ohara, Atsumi; Eguchi, Shinto
2014
Curvature integrals and iteration complexities in SDP and symmetric cone programs. Zbl 1319.90049
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi
2014
Duality of maximum entropy and minimum divergence. Zbl 1338.62021
Eguchi, Shinto; Komori, Osamu; Ohara, Atsumi
2014
Geometry on positive definite matrices deformed by $$V$$-potentials and its submanifold structure. Zbl 1317.94043
Ohara, Atsumi; Eguchi, Shinto
2014
Information geometry and interior-point algorithms in semidefinite programs and symmetric cone programs. Zbl 1322.90112
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi
2013
Geometry on positive definite matrices induced from $$V$$-potential function. Zbl 1396.94053
Ohara, Atsumi; Eguchi, Shinto
2013
Information geometry and interior-point algorithms. Zbl 1322.94055
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi
2013
A Bregman extension of quasi-Newton updates I: An information geometrical framework. Zbl 1288.90108
Kanamori, Takafumi; Ohara, Atsumi
2013
Group invariance of information geometry on $$q$$-Gaussian distributions induced by beta-divergence. Zbl 1335.62012
Ohara, Atsumi; Eguchi, Shinto
2013
A Bregman extension of quasi-Newton updates. II: Analysis of robustness properties. Zbl 1291.90259
Kanamori, Takafumi; Ohara, Atsumi
2013
Geometry for $$q$$-exponential families. Zbl 1263.60013
Matsuzoe, Hiroshi; Ohara, Atsumi
2012
Conformal geometry of escort probability and its applications. Zbl 1262.82004
Ohara, Atsumi; Matsuzoe, Hiroshi; Amari, Shun-Ichi
2012
Geometry of $$q$$-exponential family of probability distributions. Zbl 1306.62073
Amari, Shun-Ichi; Ohara, Atsumi
2011
Information geometry of $$q$$-Gaussian densities and behaviors of solutions to related diffusion equations. Zbl 1183.82050
2010
Geometric study for the Legendre duality of generalized entropies and its application to the porous medium equation. Zbl 1188.82066
Ohara, A.
2009
Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization. Zbl 1209.82003
Ohara, Atsumi
2007
1-conformally flat statistical submanifolds. Zbl 0978.53040
Uohashi, Keiko; Ohara, Atsumi; Fujii, Takao
2000
Information geometric analysis of an interior point method for semidefinite programming. Zbl 0945.90037
Ohara, A.
1999
LMI-based controller synthesis: A unified formulation and solution. Zbl 0921.93012
Masubuchi, Izumi; Ohara, Atsumi; Suda, Nobuhide
1998
$$H_ \infty$$ control for descriptor systems: A matrix inequalities approach. Zbl 0881.93024
Masubuchi, Izumi; Kamitane, Yoshiyuki; Ohara, Atsumi; Suda, Nobuhide
1997
Dualistic differential geometry of positive definite matrices and its applications to related problems. Zbl 0863.15009
Ohara, Atsumi; Suda, Nobuhide; Amari, Shun-ichi
1996
Differential geometric structures of stable state feedback systems with dual connections. Zbl 0821.93029
Ohara, Atsumi; Amari, Shun-Ichi
1994
Dualistic differential geometry of positive definite matrices and its application to optimizations and matrix completion problems. Zbl 0822.53008
Ohara, Atsumi; Suda, Nobuhide; Amari, Shun-ichi
1994
Geometric structures of stable state feedback systems. Zbl 0790.93118
Ohara, A.; Kitamori, T.
1993
Relations between a parametrization of stabilizing state feedback gains and eigenvalue locations. Zbl 0729.93059
Ohara, A.; Nakazumi, S.; Suda, N.
1991
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#### Cited by 369 Authors

 19 Zhang, Qingling 12 Ohara, Atsumi 9 Xu, Shengyuan 8 Scherer, Carsten W. 7 Lam, James 7 Xi, Jianxiang 5 Ebihara, Yoshio 5 Shi, Yimin 5 Yang, Chunyu 5 Zhang, Fode 5 Zhang, Yingqi 4 Amari, Shun-ichi 4 Boukas, El-Kébir 4 Liu, Caixia 4 Liu, Guangbin 4 Masubuchi, Izumi 4 Mu, Xiaowu 4 Sun, Liying 4 Wang, Yuzhen 4 Yao, Zhicheng 4 Zhong, Yisheng 3 Cao, Jinde 3 Chadli, Mohammed 3 Darouach, Mohamed 3 Eguchi, Shinto 3 Feng, Zhiguang 3 Huang, Chih-Peng 3 Köroğlu, Hakan 3 Lu, Renquan 3 Matsuzoe, Hiroshi 3 Ng, Hon Keung Tony 3 Peng, Linyu 3 Ren, Junchao 3 Sebe, Noboru 3 Sun, Huafei 3 Tsuchiya, Takashi 3 Wada, Tatsuaki 3 Wang, Ruibing 3 Xia, Yuanqing 3 Xue, Anke 3 Zhai, Guisheng 3 Zhang, Weihai 3 Zhao, Yong 3 Zou, Yun 2 Allamigeon, Xavier 2 Arzelier, Denis 2 Asai, Toru 2 Aydin, Muhittin Evren 2 Benchimol, Pascal 2 Chaabane, Mohamed 2 Dong, Xinzhuang 2 Duan, Guangren 2 Duan, Xiaomin 2 Fang, Qingxiang 2 Feng, Gang 2 Gaubert, Stéphane 2 Gui, Weihua 2 Hagiwara, Tomomichi 2 Hara, Shinji 2 Hiai, Fumio 2 Ho, Daniel W. C. 2 Huang, Lin 2 Huang, Shoudong 2 Iwasaki, Tetsuya 2 Ji, Xiaofu 2 Jiang, Wei 2 Joswig, Michael 2 Kakihara, Satoshi 2 Kanamori, Takafumi 2 Kchaou, Mourad 2 Kiyama, Tsuyoshi 2 Komori, Osamu 2 Li, Jinghao 2 Li, Xiaoyan 2 Liu, Hao 2 Liu, Song 2 Mazko, Alexey G. 2 Men, Bo 2 Mihai, Ion 2 Naudts, Jan 2 Peaucelle, Dimitri 2 Petz, Dénes 2 Sato, Masayuki 2 Sawada, Kenji 2 Shi, Peng 2 Shu, Yadong 2 Su, Hongye 2 Swevers, Jan 2 Takatsu, Asuka 2 Waki, Hayato 2 Wang, Jichun 2 Wang, Yijing 2 Wang, Zhong 2 Wo, Songlin 2 Xing, Shuangyun 2 Xu, Xuping 2 Yagoubi, Mohamed Bachir 2 Yang, Xiaogang 2 Yang, Ying 2 Zhang, Jinhui ...and 269 more Authors
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#### Cited in 78 Serials

 29 Automatica 18 Systems & Control Letters 16 International Journal of Robust and Nonlinear Control 11 International Journal of Control 9 Journal of Control Theory and Applications 8 Journal of the Franklin Institute 8 Linear Algebra and its Applications 8 Mathematical Problems in Engineering 7 Entropy 7 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Physica A 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 European Journal of Control 4 International Journal of Systems Science 4 Journal of Mathematical Physics 4 Journal of Applied Mathematics 4 Asian Journal of Control 3 Kybernetika 3 Optimal Control Applications & Methods 2 Modern Physics Letters B 2 Journal of Mathematical Analysis and Applications 2 Ukrainian Mathematical Journal 2 Journal of Statistical Planning and Inference 2 Circuits, Systems, and Signal Processing 2 Physica D 2 Signal Processing 2 Applied Mathematical Modelling 2 Computational Optimization and Applications 2 Optimization Methods & Software 2 Discrete Dynamics in Nature and Society 2 Optimization Letters 2 Nonlinear Analysis. Hybrid Systems 2 Information Geometry 1 Archive for Rational Mechanics and Analysis 1 Reports on Mathematical Physics 1 Advances in Mathematics 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Nagoya Mathematical Journal 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Neural Computation 1 Differential Geometry and its Applications 1 Journal of Global Optimization 1 SIAM Review 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Archives of Control Sciences 1 Test 1 Nonlinear Dynamics 1 Positivity 1 Soft Computing 1 Mathematical Inequalities & Applications 1 Chaos 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 The ANZIAM Journal 1 Journal of Zhejiang University. Science 1 Journal of Systems Science and Complexity 1 Advances in Difference Equations 1 Iranian Journal of Fuzzy Systems 1 Science in China. Series F 1 Journal of Zhejiang University. Science A 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 The Annals of Applied Statistics 1 Journal of Control Science and Engineering 1 Science China. Information Sciences 1 Bulletin of Mathematical Sciences 1 Arabian Journal for Science and Engineering 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 31 Fields

 165 Systems theory; control (93-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 25 Differential geometry (53-XX) 25 Statistics (62-XX) 21 Operations research, mathematical programming (90-XX) 18 Ordinary differential equations (34-XX) 14 Probability theory and stochastic processes (60-XX) 12 Information and communication theory, circuits (94-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 5 Computer science (68-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Partial differential equations (35-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)