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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, L. E.; Faybusovich, Leonid E.
Documents Indexed: 55 Publications since 1988
Reviewing Activity: 123 Reviews

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 518 times in 290 Documents Cited by Year
Linear systems in Jordan algebras and primal-dual interior-point algorithms. Zbl 0889.65066
Faybusovich, Leonid
113
1997
Euclidean Jordan algebras and interior-point algorithms. Zbl 0973.90095
Faybusovich, Leonid
113
1997
A Jordan-algebraic approach to potential-reduction algorithms. Zbl 0996.65065
Faybusovich, Leonid
61
2002
Elementary Toda orbits and integrable lattices. Zbl 1052.37051
Faybusovich, Leonid; Gekhtman, Michael
17
2000
Jordan-algebraic aspects of nonconvex optimization over symmetric cones. Zbl 1094.90031
Faybusovich, Leonid; Lu, Ye
16
2006
Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank. Zbl 1035.90099
Faybusovich, Leonid; Tsuchiya, Takashi
16
2003
On Schur flows. Zbl 0952.37055
Faybusovich, Leonid; Gekhtman, Michael
14
1999
Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices. Zbl 1115.37336
Faybusovich, Leonid; Gekhtman, Michael
12
2000
A long-step primal–dual algorithm for the symmetric programming problem. Zbl 0970.90117
Faybusovich, L.; Arana, R.
11
2001
Several Jordan-algebraic aspects of optimization. Zbl 1191.90034
Faybusovich, L.
11
2008
On Nesterov’s approach to semi-infinite programming. Zbl 1027.90098
Faybusovich, Leonid
10
2002
Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications. Zbl 1029.15015
Lim, Yongdo; Kim, Junghwa; Faybusovich, Leonid
10
2003
Global optimization of homogeneous polynomials on the simplex and on the sphere. Zbl 1165.90592
Faybusovich, Leonid
9
2004
Hamiltonian structure of dynamical systems which solve linear programming problems. Zbl 0745.58023
Faybusovich, Leonid
9
1991
Toda flows, inverse spectral transform and realization theory. Zbl 0734.93032
Brockett, R. W.; Faybusovich, L. E.
8
1991
Jordan-algebraic approach to convexity theorems for quadratic mappings. Zbl 1165.90591
Faybusovich, L.
8
2006
Explicitly solvable nonlinear optimal control problems. Zbl 0635.93039
Faybusovich, L. E.
7
1988
Dynamical systems which solve optimization problems with linear constraints. Zbl 0747.90093
Faybusovich, L.
7
1991
Separation theorem for linearly constrained LQG optimal control. Zbl 0866.93098
Lim, Andrew E. B.; Moore, John B.; Faybusovich, Leonid
6
1996
Infinite-dimensional quadratic optimization: Interior-point methods and control applications. Zbl 0882.90104
Faybusovich, L.; Moore, J. B.
5
1997
Numerical experiments with universal barrier functions for cones of Chebyshev systems. Zbl 1169.90424
Faybusovich, L.; Mouktonglang, T.; Tsuchiya, T.
5
2008
Long-step path-following algorithm for convex quadratic programming problems in a Hilbert space. Zbl 0902.90128
Faybusovich, L.; Moore, J. B.
4
1997
Inverse moment problem for elementary co-adjoint orbits. Zbl 0985.35087
Faybusovich, Leonid; Gekhtman, Michael
4
2001
Hamiltonian and system-theoretic properties of the HR-algorithm. Zbl 0770.93016
Faybusovich, Leonid
4
1993
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
Semidefinite programming: A path-following algorithm for a linear-quadratic functional. Zbl 0868.90091
Faybusovich, Leonid
3
1996
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
Multi-target linear-quadratic control problem and second-order cone programming. Zbl 1157.49315
Faybusovich, L.; Mouktonglang, T.
2
2004
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
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
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
A Hamiltonian structure for generalized affine-scaling vector fields. Zbl 0818.58022
Faybusovich, L.
1
1995
Calculation of universal barrier functions for cones generated by Chebyshev systems over finite sets. Zbl 1073.90063
Faybusovich, Leonid; Gekhtman, Michael
1
2004
On explicit solvable gradient systems of Moser-Karmarkar type. Zbl 0874.93052
Nakamura, Yoshimasa; Faybusovich, Leonid
1
1997
On Hazan’s algorithm for symmetric programming problems. Zbl 1327.90203
Faybusovich, Leonid
1
2015
On the phase portrait of the Karmarkar’s flow. Zbl 0820.34029
Faybusovich, Leonid E.
1
1993
Self-concordant barriers for cones generated by Chebyshev systems. Zbl 1029.90078
Faybusovich, Leonid
1
2002
Simplex method and groups generated by reflections. Zbl 0719.20020
Faybusovich, Leonid
1
1990
Multitarget linear-quadratic control problem: semi-infinite interval. Zbl 1264.90138
Faybusovich, L.; Mouktonglang, T.
1
2012
Long-step path-following algorithm for solving symmetric programming problems with nonlinear objective functions. Zbl 1420.90044
Faybusovich, Leonid; Zhou, Cunlu
1
2019
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
1
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.
11
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
9
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
10
2003
A Jordan-algebraic approach to potential-reduction algorithms. Zbl 0996.65065
Faybusovich, Leonid
61
2002
On Nesterov’s approach to semi-infinite programming. Zbl 1027.90098
Faybusovich, Leonid
10
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
4
2001
Elementary Toda orbits and integrable lattices. Zbl 1052.37051
Faybusovich, Leonid; Gekhtman, Michael
17
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
14
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
113
1997
Euclidean Jordan algebras and interior-point algorithms. Zbl 0973.90095
Faybusovich, Leonid
113
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
1
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
Hamiltonian structure of dynamical systems which solve linear programming problems. Zbl 0745.58023
Faybusovich, Leonid
9
1991
Toda flows, inverse spectral transform and realization theory. Zbl 0734.93032
Brockett, R. W.; Faybusovich, L. E.
8
1991
Dynamical systems which solve optimization problems with linear constraints. Zbl 0747.90093
Faybusovich, L.
7
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.
7
1988
all top 5

Cited by 306 Authors

21 Faybusovich, Leonid E.
16 Kheirfam, Behrouz
15 Wang, Guoqiang
11 Huang, Zheng-Hai
11 Liu, Hongwei
9 Zangiabadi, Maryam
8 Yang, Ximei
7 Bai, Yanqin
7 Darvay, Zsolt
7 Liu, Changhe
7 Tsuchiya, Takashi
6 Chen, Jein-Shan
6 de Klerk, Etienne
6 Fang, Liang
6 Kong, Lingchen
6 Lesaja, Goran
6 Mansouri, Hossein
6 Tunçel, Levent
6 Xiu, Naihua
5 Asadi, Soodabeh
5 Gowda, Muddappa Seetharama
5 He, Guoping
5 Lourenço, Bruno F.
5 Lu, Nan
5 Mahdavi-Amiri, Nezam
5 Moore, John Barratt
5 Mouktonglang, Thanasak
5 Roos, Cornelis
5 Zhang, Yinkui
4 Bloch, Anthony M.
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
3 Crouch, Peter E.
3 Goberna, Miguel Angel
3 Laurent, Monique
3 Liu, Xinze
3 Liu, Yong-Jin
3 López-Cerdá, Marco Antonio
3 Luo, ZiYan
3 Parrilo, Pablo A.
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 Dong, Li
2 Feinberg, Joshua
2 Feng, Zengzhe
2 Finkelberg, Michael Vladlenovich
2 Gekhtman, Mikhaèl I.
2 Gekhtman, Michael I.
2 Gesztesy, Fritz
2 Gu, Weizhe
2 Han, Jiye
2 Holden, Helge
2 Hu, ShengLong
2 Jeong, Juyoung
2 Kakihara, Satoshi
2 Kodama, Yuji
2 Li, Minmin
2 Lim, Andrew E. B.
2 Lin, Huiling
2 Liu, Xiaohong
2 Ma, Changfeng
2 Mañas, Manuel
2 Ni, Tie
2 Pirhaji, Mohammad
2 Rigó, Petra Renáta
2 Shahraki, Marzieh Sayadi
2 Shapiro, Michael Z.
2 Silva Leite, Fátima
2 Simon, Barry
2 Sturm, Jos F.
2 Tang, Jingyong
2 Vainshtein, Alek
2 Valkonen, Tuomo
2 Wang, Yinhe
2 Xia, Yu
2 Ye, Jian
2 Yue, Yujing
2 Zhao, Huali
1 Absil, Pierre-Antoine
1 Ahn, Eunkyung
1 Aiyoshi, Eitaro
1 Álvarez-Fernández, Carlos
...and 206 more Authors
all top 5

Cited in 98 Serials

21 Journal of Optimization Theory and Applications
16 Optimization
16 Optimization Methods & Software
14 Linear Algebra and its Applications
12 Mathematical Programming. Series A. Series B
11 Numerical Functional Analysis and Optimization
11 Computational Optimization and Applications
10 Optimization Letters
6 Applied Mathematics and Computation
6 Journal of Computational and Applied Mathematics
6 Systems & Control Letters
6 Physica D
5 Acta Mathematicae Applicatae Sinica. English Series
5 Journal of Global 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 SIAM Journal on Optimization
4 Mathematical Methods of Operations Research
4 Numerical Algebra, Control and Optimization
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 Communications in Mathematical Physics
2 Linear and Multilinear Algebra
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 International Journal of Computer 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 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 Journal of Mathematical Physics
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 Computer and System Sciences
1 Journal of Multivariate Analysis
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Proceedings of the American Mathematical Society
1 Studies in Applied Mathematics
1 Theoretical Computer Science
1 Mathematical and Computer Modelling
1 Forum Mathematicum
1 Differential Geometry and its Applications
1 YUJOR. Yugoslav Journal of Operations Research
1 Journal of Mathematical Sciences (New York)
1 Top
1 Selecta Mathematica. New Series
1 Complexity
1 Mathematical Problems in Engineering
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 Journal of Dynamical and Control Systems
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 SIGMA. Symmetry, Integrability and Geometry: Methods 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
all top 5

Cited in 38 Fields

212 Operations research, mathematical programming (90-XX)
38 Dynamical systems and ergodic theory (37-XX)
38 Numerical analysis (65-XX)
28 Nonassociative rings and algebras (17-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Differential geometry (53-XX)
15 Systems theory; control (93-XX)
10 Operator theory (47-XX)
8 Convex and discrete geometry (52-XX)
7 Algebraic geometry (14-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Computer science (68-XX)
6 Mechanics of particles and systems (70-XX)
5 Partial differential equations (35-XX)
5 Functional analysis (46-XX)
3 Combinatorics (05-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 Global analysis, analysis on manifolds (58-XX)
3 Quantum theory (81-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Real functions (26-XX)
2 Approximations and expansions (41-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year