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Faybusovich, Leonid E.

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Author ID: faybusovich.leonid-e Recent zbMATH articles by "Faybusovich, Leonid E."
Published as: Faybusovich, Leonid; Faybusovich, L.; Faybusovich, Leonid E.; Faybusovich, L. E.
Documents Indexed: 56 Publications since 1988
Reviewing Activity: 123 Reviews
Co-Authors: 12 Co-Authors with 23 Joint Publications
428 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 546 times in 305 Documents Cited by Year
Linear systems in Jordan algebras and primal-dual interior-point algorithms. Zbl 0889.65066
Faybusovich, Leonid
120
1997
Euclidean Jordan algebras and interior-point algorithms. Zbl 0973.90095
Faybusovich, Leonid
114
1997
A Jordan-algebraic approach to potential-reduction algorithms. Zbl 0996.65065
Faybusovich, Leonid
63
2002
Elementary Toda orbits and integrable lattices. Zbl 1052.37051
Faybusovich, Leonid; Gekhtman, Michael
18
2000
Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank. Zbl 1035.90099
Faybusovich, Leonid; Tsuchiya, Takashi
16
2003
Jordan-algebraic aspects of nonconvex optimization over symmetric cones. Zbl 1094.90031
Faybusovich, Leonid; Lu, Ye
16
2006
On Schur flows. Zbl 0952.37055
Faybusovich, Leonid; Gekhtman, Michael
15
1999
Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications. Zbl 1029.15015
Lim, Yongdo; Kim, Junghwa; Faybusovich, Leonid
14
2003
Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices. Zbl 1115.37336
Faybusovich, Leonid; Gekhtman, Michael
12
2000
Several Jordan-algebraic aspects of optimization. Zbl 1191.90034
Faybusovich, L.
12
2008
On Nesterov’s approach to semi-infinite programming. Zbl 1027.90098
Faybusovich, Leonid
11
2002
A long-step primal–dual algorithm for the symmetric programming problem. Zbl 0970.90117
Faybusovich, L.; Arana, R.
11
2001
Global optimization of homogeneous polynomials on the simplex and on the sphere. Zbl 1165.90592
Faybusovich, Leonid
11
2004
Dynamical systems which solve optimization problems with linear constraints. Zbl 0747.90093
Faybusovich, L.
10
1991
Hamiltonian structure of dynamical systems which solve linear programming problems. Zbl 0745.58023
Faybusovich, Leonid
10
1991
Toda flows, inverse spectral transform and realization theory. Zbl 0734.93032
Brockett, R. W.; Faybusovich, L. E.
8
1991
Explicitly solvable nonlinear optimal control problems. Zbl 0635.93039
Faybusovich, L. E.
8
1988
Jordan-algebraic approach to convexity theorems for quadratic mappings. Zbl 1165.90591
Faybusovich, L.
8
2006
Separation theorem for linearly constrained LQG optimal control. Zbl 0866.93098
Lim, Andrew E. B.; Moore, John B.; Faybusovich, Leonid
6
1996
Numerical experiments with universal barrier functions for cones of Chebyshev systems. Zbl 1169.90424
Faybusovich, L.; Mouktonglang, T.; Tsuchiya, T.
5
2008
Inverse moment problem for elementary co-adjoint orbits. Zbl 0985.35087
Faybusovich, Leonid; Gekhtman, Michael
5
2001
Infinite-dimensional quadratic optimization: Interior-point methods and control applications. Zbl 0882.90104
Faybusovich, L.; Moore, J. B.
5
1997
Hamiltonian and system-theoretic properties of the HR-algorithm. Zbl 0770.93016
Faybusovich, Leonid
4
1993
Long-step path-following algorithm for convex quadratic programming problems in a Hilbert space. Zbl 0902.90128
Faybusovich, L.; Moore, J. B.
4
1997
Semidefinite programming: A path-following algorithm for a linear-quadratic functional. Zbl 0868.90091
Faybusovich, Leonid
3
1996
On a matrix generalization of affine-scaling vector fields. Zbl 0827.65062
Faybusovich, Leonid
3
1995
Implementation of infinite-dimensional interior-point method for solving multi-criteria linear-quadratic control problem. Zbl 1091.49030
Faybusovich, L.; Mouktonglang, T.; Tsuchiya, T.
3
2006
E. Lieb convexity inequalities and noncommutative Bernstein inequality in Jordan-algebraic setting. Zbl 1373.90104
Faybusovich, Leonid
2
2016
Primal-dual potential reduction algorithm for symmetric programming problems with nonlinear objective functions. Zbl 1419.90084
Faybusovich, Leonid
2
2018
Matrix monotonicity and self-concordance: how to handle quantum entropy in optimization problems. Zbl 1394.90529
Faybusovich, Leonid; Tsuchiya, Takashi
2
2017
Rational functions, Toda flows, and LR-like algorithms. Zbl 0819.93018
Faybusovich, Leonid
2
1994
Dikin’s algorithm for matrix linear programming problems. Zbl 0811.90065
Faybusovich, Leonid
2
1994
Toda flows and isospectral manifolds. Zbl 0758.58014
Faybusovich, Leonid
2
1992
Jordan-algebraic aspects of optimization: randomization. Zbl 1247.90218
Faybusovich, L.
2
2010
Multi-target linear-quadratic control problem and second-order cone programming. Zbl 1157.49315
Faybusovich, L.; Mouktonglang, T.
2
2004
On explicit solvable gradient systems of Moser-Karmarkar type. Zbl 0874.93052
Nakamura, Yoshimasa; Faybusovich, Leonid
2
1997
Long-step path-following algorithm for solving symmetric programming problems with nonlinear objective functions. Zbl 1420.90044
Faybusovich, Leonid; Zhou, Cunlu
2
2019
Infinite-dimensional semidefinite programming: Regularized determinants and self-concordant barriers. Zbl 0906.90139
Faybusovich, Leonid
1
1998
On the Rutishauser’s approach to eigenvalue problems. Zbl 0811.93011
Faybusovich, L.
1
1994
The Gibbs variational principle, gradient flows and interior-point methods. Zbl 0818.90068
Faybusovich, Leonid
1
1994
On the phase portrait of the Karmarkar’s flow. Zbl 0820.34029
Faybusovich, Leonid E.
1
1993
A Hamiltonian structure for generalized affine-scaling vector fields. Zbl 0818.58022
Faybusovich, L.
1
1995
Self-concordant barriers for cones generated by Chebyshev systems. Zbl 1029.90078
Faybusovich, Leonid
1
2002
Calculation of universal barrier functions for cones generated by Chebyshev systems over finite sets. Zbl 1073.90063
Faybusovich, Leonid; Gekhtman, Michael
1
2004
Multitarget linear-quadratic control problem: semi-infinite interval. Zbl 1264.90138
Faybusovich, L.; Mouktonglang, T.
1
2012
On Hazan’s algorithm for symmetric programming problems. Zbl 1327.90203
Faybusovich, Leonid
1
2015
Simplex method and groups generated by reflections. Zbl 0719.20020
Faybusovich, Leonid
1
1990
Remark on multi-target, robust linear-quadratic control problem on semi-infinite interval. Zbl 1368.49039
Faybusovich, L.; Mouktonglang, T.
1
2016
Long-step path-following algorithm for solving symmetric programming problems with nonlinear objective functions. Zbl 1420.90044
Faybusovich, Leonid; Zhou, Cunlu
2
2019
Primal-dual potential reduction algorithm for symmetric programming problems with nonlinear objective functions. Zbl 1419.90084
Faybusovich, Leonid
2
2018
Matrix monotonicity and self-concordance: how to handle quantum entropy in optimization problems. Zbl 1394.90529
Faybusovich, Leonid; Tsuchiya, Takashi
2
2017
E. Lieb convexity inequalities and noncommutative Bernstein inequality in Jordan-algebraic setting. Zbl 1373.90104
Faybusovich, Leonid
2
2016
Remark on multi-target, robust linear-quadratic control problem on semi-infinite interval. Zbl 1368.49039
Faybusovich, L.; Mouktonglang, T.
1
2016
On Hazan’s algorithm for symmetric programming problems. Zbl 1327.90203
Faybusovich, Leonid
1
2015
Multitarget linear-quadratic control problem: semi-infinite interval. Zbl 1264.90138
Faybusovich, L.; Mouktonglang, T.
1
2012
Jordan-algebraic aspects of optimization: randomization. Zbl 1247.90218
Faybusovich, L.
2
2010
Several Jordan-algebraic aspects of optimization. Zbl 1191.90034
Faybusovich, L.
12
2008
Numerical experiments with universal barrier functions for cones of Chebyshev systems. Zbl 1169.90424
Faybusovich, L.; Mouktonglang, T.; Tsuchiya, T.
5
2008
Jordan-algebraic aspects of nonconvex optimization over symmetric cones. Zbl 1094.90031
Faybusovich, Leonid; Lu, Ye
16
2006
Jordan-algebraic approach to convexity theorems for quadratic mappings. Zbl 1165.90591
Faybusovich, L.
8
2006
Implementation of infinite-dimensional interior-point method for solving multi-criteria linear-quadratic control problem. Zbl 1091.49030
Faybusovich, L.; Mouktonglang, T.; Tsuchiya, T.
3
2006
Global optimization of homogeneous polynomials on the simplex and on the sphere. Zbl 1165.90592
Faybusovich, Leonid
11
2004
Multi-target linear-quadratic control problem and second-order cone programming. Zbl 1157.49315
Faybusovich, L.; Mouktonglang, T.
2
2004
Calculation of universal barrier functions for cones generated by Chebyshev systems over finite sets. Zbl 1073.90063
Faybusovich, Leonid; Gekhtman, Michael
1
2004
Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank. Zbl 1035.90099
Faybusovich, Leonid; Tsuchiya, Takashi
16
2003
Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications. Zbl 1029.15015
Lim, Yongdo; Kim, Junghwa; Faybusovich, Leonid
14
2003
A Jordan-algebraic approach to potential-reduction algorithms. Zbl 0996.65065
Faybusovich, Leonid
63
2002
On Nesterov’s approach to semi-infinite programming. Zbl 1027.90098
Faybusovich, Leonid
11
2002
Self-concordant barriers for cones generated by Chebyshev systems. Zbl 1029.90078
Faybusovich, Leonid
1
2002
A long-step primal–dual algorithm for the symmetric programming problem. Zbl 0970.90117
Faybusovich, L.; Arana, R.
11
2001
Inverse moment problem for elementary co-adjoint orbits. Zbl 0985.35087
Faybusovich, Leonid; Gekhtman, Michael
5
2001
Elementary Toda orbits and integrable lattices. Zbl 1052.37051
Faybusovich, Leonid; Gekhtman, Michael
18
2000
Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices. Zbl 1115.37336
Faybusovich, Leonid; Gekhtman, Michael
12
2000
On Schur flows. Zbl 0952.37055
Faybusovich, Leonid; Gekhtman, Michael
15
1999
Infinite-dimensional semidefinite programming: Regularized determinants and self-concordant barriers. Zbl 0906.90139
Faybusovich, Leonid
1
1998
Linear systems in Jordan algebras and primal-dual interior-point algorithms. Zbl 0889.65066
Faybusovich, Leonid
120
1997
Euclidean Jordan algebras and interior-point algorithms. Zbl 0973.90095
Faybusovich, Leonid
114
1997
Infinite-dimensional quadratic optimization: Interior-point methods and control applications. Zbl 0882.90104
Faybusovich, L.; Moore, J. B.
5
1997
Long-step path-following algorithm for convex quadratic programming problems in a Hilbert space. Zbl 0902.90128
Faybusovich, L.; Moore, J. B.
4
1997
On explicit solvable gradient systems of Moser-Karmarkar type. Zbl 0874.93052
Nakamura, Yoshimasa; Faybusovich, Leonid
2
1997
Separation theorem for linearly constrained LQG optimal control. Zbl 0866.93098
Lim, Andrew E. B.; Moore, John B.; Faybusovich, Leonid
6
1996
Semidefinite programming: A path-following algorithm for a linear-quadratic functional. Zbl 0868.90091
Faybusovich, Leonid
3
1996
On a matrix generalization of affine-scaling vector fields. Zbl 0827.65062
Faybusovich, Leonid
3
1995
A Hamiltonian structure for generalized affine-scaling vector fields. Zbl 0818.58022
Faybusovich, L.
1
1995
Rational functions, Toda flows, and LR-like algorithms. Zbl 0819.93018
Faybusovich, Leonid
2
1994
Dikin’s algorithm for matrix linear programming problems. Zbl 0811.90065
Faybusovich, Leonid
2
1994
On the Rutishauser’s approach to eigenvalue problems. Zbl 0811.93011
Faybusovich, L.
1
1994
The Gibbs variational principle, gradient flows and interior-point methods. Zbl 0818.90068
Faybusovich, Leonid
1
1994
Hamiltonian and system-theoretic properties of the HR-algorithm. Zbl 0770.93016
Faybusovich, Leonid
4
1993
On the phase portrait of the Karmarkar’s flow. Zbl 0820.34029
Faybusovich, Leonid E.
1
1993
Toda flows and isospectral manifolds. Zbl 0758.58014
Faybusovich, Leonid
2
1992
Dynamical systems which solve optimization problems with linear constraints. Zbl 0747.90093
Faybusovich, L.
10
1991
Hamiltonian structure of dynamical systems which solve linear programming problems. Zbl 0745.58023
Faybusovich, Leonid
10
1991
Toda flows, inverse spectral transform and realization theory. Zbl 0734.93032
Brockett, R. W.; Faybusovich, L. E.
8
1991
Simplex method and groups generated by reflections. Zbl 0719.20020
Faybusovich, Leonid
1
1990
Explicitly solvable nonlinear optimal control problems. Zbl 0635.93039
Faybusovich, L. E.
8
1988
all top 5

Cited by 323 Authors

22 Faybusovich, Leonid E.
16 Kheirfam, Behrouz
15 Wang, Guoqiang
13 Liu, Hongwei
11 Huang, Zheng-Hai
9 Zangiabadi, Maryam
8 Darvay, Zsolt
8 Yang, Ximei
7 Bai, Yanqin
7 Gekhtman, Mikhaèl I.
7 Liu, Changhe
7 Tsuchiya, Takashi
6 Asadi, Soodabeh
6 Chen, Jein-Shan
6 de Klerk, Etienne
6 Fang, Liang
6 Gowda, Muddappa Seetharama
6 Kong, Lingchen
6 Lesaja, Goran
6 Lourenço, Bruno F.
6 Mahdavi-Amiri, Nezam
6 Mansouri, Hossein
6 Tunçel, Levent
6 Xiu, Naihua
5 He, Guoping
5 Lu, Nan
5 Moore, John Barratt
5 Mouktonglang, Thanasak
5 Roos, Cornelis
5 Zhang, Yinkui
4 Fishman, Shmuel
4 Li, Yuanmin
4 Lim, Yongdo
4 Muramatsu, Masakazu
4 Nakamura, Yoshimasa
4 Ohara, Atsumi
4 Pan, Shaohua
4 Wang, Xingtao
4 Wei, Deyun
4 Zhang, Liwei
4 Zhao, Huali
3 Bloch, Anthony Michael
3 Goberna, Miguel Angel
3 Laurent, Monique
3 Liu, Xinze
3 Liu, Yong-Jin
3 López-Cerdá, Marco Antonio
3 Luo, ZiYan
3 Orlitzky, Michael J.
3 Parrilo, Pablo A.
3 Rigó, Petra Renáta
3 Shang, Youlin
3 Siegelmann, Hava T.
3 Tao, Jiyuan
3 Terlaky, Tamás
3 Vieira, Manuel V. C.
3 Zhu, Detong
2 Alizadeh, Farid
2 Baes, Michel
2 Ben-Hur, Asa
2 Cai, Xinzhong
2 Cantero, María José
2 Damianou, Pantelis Andrea
2 Deligkas, Argyrios
2 Dong, Li
2 Fearnley, John
2 Feinberg, Joshua
2 Feng, Zengzhe
2 Finkelberg, Michael Vladlenovich
2 Gesztesy, Fritz
2 Gu, Weizhe
2 Han, Jiye
2 Holden, Helge
2 Hu, ShengLong
2 Jarre, Florian
2 Jeong, Juyoung
2 Kakihara, Satoshi
2 Kodama, Yuji
2 Lee, Gue Myung
2 Li, Minmin
2 Lim, Andrew E. B.
2 Lin, Huiling
2 Liu, Xiaohong
2 Ma, Changfeng
2 Mañas, Manuel
2 Melissourgos, Themistoklis
2 Ni, Tie
2 Niezgoda, Marek
2 Pirhaji, Mohammad
2 Shahraki, Marzieh Sayadi
2 Shapiro, Michael Z.
2 Simon, Barry
2 Spirakis, Paul G.
2 Sturm, Jos F.
2 Szmigielski, Jacek
2 Tang, Jingyong
2 Vainshtein, Alek
2 Valkonen, Tuomo
2 Wang, Yinhe
2 Xia, Yu
...and 223 more Authors
all top 5

Cited in 101 Serials

21 Journal of Optimization Theory and Applications
17 Optimization
17 Optimization Methods & Software
14 Linear Algebra and its Applications
12 Mathematical Programming. Series A. Series B
12 Computational Optimization and Applications
11 Numerical Functional Analysis and Optimization
11 Optimization Letters
7 Physica D
6 Applied Mathematics and Computation
6 Journal of Computational and Applied Mathematics
6 SIAM Journal on Optimization
5 Systems & Control Letters
5 Acta Mathematicae Applicatae Sinica. English Series
5 Journal of Global Optimization
5 Numerical Algebra, Control and Optimization
5 Journal of the Operations Research Society of China
4 Journal of Mathematical Analysis and Applications
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Numerical Algorithms
4 European Journal of Operational Research
4 International Journal of Computer Mathematics
4 Mathematical Methods of Operations Research
3 Journal of Geometry and Physics
3 Advances in Mathematics
3 Asia-Pacific Journal of Operational Research
3 Positivity
3 Journal of Inequalities and Applications
3 Journal of Applied Mathematics and Computing
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Journal of Computer and System Sciences
2 Journal of Functional Analysis
2 Mathematics of Operations Research
2 Operations Research Letters
2 Acta Applicandae Mathematicae
2 Journal of Complexity
2 Science in China. Series A
2 Annals of Operations Research
2 Japan Journal of Industrial and Applied Mathematics
2 Applications of Mathematics
2 Acta Mathematica Sinica. English Series
2 Journal of High Energy Physics
2 Journal of Industrial and Management Optimization
2 Afrika Matematika
2 Journal of Mathematical Modelling and Algorithms in Operations Research
2 Concrete Operators
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 Nuclear Physics. B
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Applied Mathematics and Optimization
1 Automatica
1 Colloquium Mathematicum
1 Functional Analysis and its Applications
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Multivariate Analysis
1 Kybernetika
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Proceedings of the American Mathematical Society
1 Studies in Applied Mathematics
1 Theoretical Computer Science
1 Journal of Symbolic Computation
1 Mathematical and Computer Modelling
1 Forum Mathematicum
1 Neural Networks
1 YUJOR. Yugoslav Journal of Operations Research
1 Top
1 Journal of Convex Analysis
1 Selecta Mathematica. New Series
1 Complexity
1 Mathematical Problems in Engineering
1 Mathematical Inequalities & Applications
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Communications of the Korean Mathematical Society
1 Communications in Nonlinear Science and Numerical Simulation
1 CEJOR. Central European Journal of Operations Research
1 International Journal of Modern Physics C
1 Mathematical Modelling and Analysis
1 Journal of Systems Science and Complexity
1 Acta Mathematica Scientia. Series B. (English Edition)
1 4OR
1 Fixed Point Theory and Applications
1 Frontiers of Mathematics in China
1 Journal of Physics A: Mathematical and Theoretical
1 Analysis and Mathematical Physics
1 Journal of Theoretical Biology
1 Sahand Communications in Mathematical Analysis
...and 1 more Serials
all top 5

Cited in 39 Fields

221 Operations research, mathematical programming (90-XX)
39 Dynamical systems and ergodic theory (37-XX)
38 Numerical analysis (65-XX)
33 Nonassociative rings and algebras (17-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
13 Differential geometry (53-XX)
12 Systems theory; control (93-XX)
11 Operator theory (47-XX)
10 Convex and discrete geometry (52-XX)
8 Algebraic geometry (14-XX)
8 Computer science (68-XX)
6 Partial differential equations (35-XX)
6 Functional analysis (46-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of particles and systems (70-XX)
5 Quantum theory (81-XX)
4 Combinatorics (05-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
3 Ordinary differential equations (34-XX)
3 Difference and functional equations (39-XX)
3 Approximations and expansions (41-XX)
3 Probability theory and stochastic processes (60-XX)
3 Statistics (62-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Commutative algebra (13-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Biology and other natural sciences (92-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Group theory and generalizations (20-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Mechanics of deformable solids (74-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year