Leonid Faybusovich

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All published works

Action	Title	Year	Authors
+ PDF Chat	Long-step path-following algorithm for quantum information theory: Some numerical aspects and applications	2021	Leonid Faybusovich Cunlu Zhou
+	Self-concordance and matrix monotonicity with applications to quantum entanglement problems	2020	Leonid Faybusovich Cunlu Zhou
+	On Implementation of Long-Step Path-Following Algorithms for Convex Optimization Problems in Quantum Information Theory	2019	Leonid Faybusovich Cunlu Zhou
+	Long-Step Path-Following Algorithm for Quantum Information Theory: Some Numerical Aspects and Applications	2019	Leonid Faybusovich Cunlu Zhou
+	Long-step path-following algorithm for solving symmetric programming problems with nonlinear objective functions	2018	Leonid Faybusovich Cunlu Zhou
+	Primal-dual potential reduction algorithm for symmetric programming problems with nonlinear objective functions	2017	Leonid Faybusovich
+	Matrix monotonicity and self-concordance: how to handle quantum entropy in optimization problems	2017	Leonid Faybusovich Takashi Tsuchiya
+	On Hazan’s Algorithm for Symmetric Programming Problems	2014	Leonid Faybusovich
+ PDF Chat	Multitarget Linear-Quadratic Control Problem: Semi-Infinite Interval	2012	Leonid Faybusovich Thanasak Mouktonglang
+	Jordan-algebraic aspects of optimization: randomization	2009	Leonid Faybusovich
+	Several Jordan-algebraic aspects of optimization†	2008	Leonid Faybusovich
+	Numerical experiments with universal barrier functions for cones of Chebyshev systems	2007	Leonid Faybusovich Thanasak Mouktonglang Takashi Tsuchiya
+	Jordan‐Algebraic Approach to Convexity Theorems for Quadratic Mappings	2006	Leonid Faybusovich
+	Jordan-Algebraic Aspects of Nonconvex Optimization over Symmetric Cones	2005	Leonid Faybusovich Ye Lu
+	Dynamical systems that solve linear programming problems	2005	Leonid Faybusovich
+	Multi-target linear-quadratic control problem and second-order cone programming	2004	Leonid Faybusovich Thanasak Mouktonglang
+	Finite-rank perturbation of the linear-quadratic control problem	2004	Leonid Faybusovich Thanasak Mouktonglang
+	Global Optimization of Homogeneous Polynomials on the Simplex and on the Sphere	2004	Leonid Faybusovich
+	Calculation of Universal Barrier Functions for Cones Generated by Chebyshev Systems Over Finite Sets	2004	Leonid Faybusovich Michael Gekhtman
+	Numerical implementation of a class of infinite-dimensional primal-dual algorithms and control applications	2004	Thanasak Mouktonglang Leonid Faybusovich
+	Multi-target linear-quadratic control problem and second-order cone programming	2003	Leonid Faybusovich Thanasak Mouktonglang
+	Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank	2003	Leonid Faybusovich Takashi Tsuchiya
+	Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications	2003	Yongdo Lim Junghwa Kim Leonid Faybusovich
+	Interior-point methods and entropy	2002	Leonid Faybusovich
+	Long step path-following algorithm for the convex quadratic programming in a Hilbert space	2002	Leonid Faybusovich J.B. Moore
+	None	2002	Leonid Faybusovich
+	A Jordan-algebraic approach to potential-reduction algorithms	2002	Leonid Faybusovich
+	Self-Concordant Barriers for Cones Generated by Chebyshev Systems	2002	Leonid Faybusovich
+ PDF Chat	Inverse moment problem for elementary co-adjoint orbits	2001	Leonid Faybusovich Michael Gekhtman
+	A long-step primal–dual algorithm for the symmetric programming problem	2001	Leonid Faybusovich Rebekah Ruth Jager Arana
+ PDF Chat	Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices	2000	Leonid Faybusovich Michael Gekhtman
+	Elementary Toda orbits and integrable lattices	2000	Leonid Faybusovich Michael Gekhtman
+	A jordan-algebraic approach to exterior-point methods and primal-dual algorithms	2000	Rebekah Ruth Jager Arana Leonid Faybusovich
+	Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices	2000	Leonid Faybusovich M. Gekhtman
+	On Schur flows	1999	Leonid Faybusovich Michael Gekhtman
+	Infinite-dimensional semidefinite programming: Regularized determinants and self-concordant barriers	1998	Leonid Faybusovich
+	Long-Step Path-Following Algorithm for Convex Quadratic Programming Problems in a Hilbert Space	1997	Leonid Faybusovich J.B. Moore
+	Linear systems in Jordan algebras and primal-dual interior-point algorithms	1997	Leonid Faybusovich
+	Infinite-dimensional quadratic optimization: Interior-point methods and control applications	1997	Leonid Faybusovich J.B. Moore
+	On Explicitly Solvable Gradient Systems of Moser–Karmarkar Type	1997	Yoshimasa Nakamura Leonid Faybusovich
+	None	1997	Leonid Faybusovich
+	Semidefinite Programming: A Path-Following Algorithm for a Linear–Quadratic Functional	1996	Leonid Faybusovich
+ PDF Chat	Linearly Constrained LQ and LQG Optimal Control	1996	Andrew E. B. Lim J.B. Moore Leonid Faybusovich
+	Optimization and Dynamical Systems [Book Reviews]	1996	Leonid Faybusovich
+	On a Matrix Generalization of Affine-Scaling Vector Fields	1995	Leonid Faybusovich
+	The Gibbs variational principle, gradient flows, and interior-point methods	1995	Leonid Faybusovich
+	Rational functions, Toda flows, and LR-like algorithms	1994	Leonid Faybusovich
+	Dikin's algorithm for matrix linear programming problems	1994	Leonid Faybusovich
+	On the Phase Portrait of the Karmarkar’s Flow	1993	Leonid Faybusovich
+ PDF Chat	Toda Flows and Isospectral Manifolds	1992	Leonid Faybusovich
+	Reduction to generalized hessenberg form and inverse spectral problems	1992	Leonid Faybusovich
+ PDF Chat	Toda flows and isospectral manifolds	1992	Leonid Faybusovich
+	Hamiltonian structure of dynamical systems which solve linear programming problems	1991	Leonid Faybusovich
+	Hamiltonian QR-algorithm for the Solving Algebraic Riccati Equation and Hessenberg Hamiltonian Matrices	1991	Leonid Faybusovich
+	Dynamical systems that solve eigenvalue and linear programming problems	1991	Leonid Faybusovich

Common Coauthors

Coauthor	Papers Together
T. Mouktonglang	6
Cunlu Zhou	5
Michael Gekhtman	5
J.B. Moore	4
Takashi Tsuchiya	3
Rebekah Ruth Jager Arana	2
Ye Lu	1
Yongdo Lim	1
Yoshimasa Nakamura	1
Junghwa Kim	1
Andrew E. B. Lim	1
M. Gekhtman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analysis on Symmetric Cones	1994	Jacques Faraut Adam Korányi	15
+	Interior-Point Polynomial Algorithms in Convex Programming	1994	Yurii Nesterov Arkadi Nemirovski	12
+	None	1997	Leonid Faybusovich	12
+	Linear systems in Jordan algebras and primal-dual interior-point algorithms	1997	Leonid Faybusovich	8
+	Infinite-dimensional quadratic optimization: Interior-point methods and control applications	1997	Leonid Faybusovich J.B. Moore	7
+	Interior Point Approach to Linear, Quadratic and Convex Programming	1994	Dick den Hertog	7
+	The solution to a generalized Toda lattice and representation theory	1979	Bertram Kostant	7
+	A Jordan-algebraic approach to potential-reduction algorithms	2002	Leonid Faybusovich	6
+	On a Commutative Class of Search Directions for Linear Programming over Symmetric Cones	2002	M. Muramatsu	6
+	Hamiltonian structure of dynamical systems which solve linear programming problems	1991	Leonid Faybusovich	6
+	Interior Point Approach to Linear, Quadratic and Convex Programming: Algorithms and Complexity	1994	Dick den Hertog	6
+	Toda flows, inverse spectral transform and realization theory	1991	R.W. Brockett L.W. Baybusovich	5
+	A long-step primal–dual algorithm for the symmetric programming problem	2001	Leonid Faybusovich Rebekah Ruth Jager Arana	5
+	Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank	2003	Leonid Faybusovich Takashi Tsuchiya	5
+	A convergence analysis of the scaling-invariant primal-dual path-following algorithms for second-order cone programming	1999	Takashi Tsuchiya	5
+ PDF Chat	The nonlinear geometry of linear programming. I. Affine and projective scaling trajectories	1989	David Bayer Jeffrey C. Lagarias	5
+ PDF Chat	Self-Scaled Barriers and Interior-Point Methods for Convex Programming	1997	Yu. E. Nesterov Michael J. Todd	5
+	Extension of primal-dual interior point algorithms to symmetric cones	2003	Stefan Schmieta Farid Alizadeh	4
+ PDF Chat	The toda flow on a generic orbit is integrable	1986	Percy Deift L.‐C. Li T. Nanda Carlos Tomei	4
+	Relative entropy optimization and its applications	2016	Venkat Chandrasekaran Parikshit Shah	4
+	The integration of semi-infinite toda chain by means of inverse spectral problem	1986	Yu.M. Berezanski	4
+ PDF Chat	Semidefinite Approximations of the Matrix Logarithm	2018	Hamza Fawzi James Saunderson Pablo A. Parrilo	4
+	Several Jordan-algebraic aspects of optimization†	2008	Leonid Faybusovich	4
+ PDF Chat	Faces of Relativistic Toda Chain	1997	S. Kharchev А. Миронов Alexei Zhedanov	4
+	Semidefinite Programming: A Path-Following Algorithm for a Linear–Quadratic Functional	1996	Leonid Faybusovich	4
+	Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results	1998	Farid Alizadeh Jean-Pierre A. Haeberly Michael L. Overton	4
+	Nonlinear differential−difference equations	1975	Mark J. Ablowitz J. F. Ladik	3
+	Jordan‐Algebraic Approach to Convexity Theorems for Quadratic Mappings	2006	Leonid Faybusovich	3
+	Elementary Toda orbits and integrable lattices	2000	Leonid Faybusovich Michael Gekhtman	3
+	Pseudodifferential Analysis on Symmetric Cones	1996	André Unterberger Harald Upmeier	3
+	Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems	1994	A. G. Reyman Michael Semenov-Tian-Shansky	3
+	The QR-algorithm and generalized Toda flows	1989	L. E. Faibusovich	3
+	Lectures on Convex Optimization	2018	Yurii Nesterov	3
+	Long-step path-following algorithm for solving symmetric programming problems with nonlinear objective functions	2018	Leonid Faybusovich Cunlu Zhou	3
+	INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES	1999	Yuri B. Suris	3
+	Matrix monotonicity and self-concordance: how to handle quantum entropy in optimization problems	2017	Leonid Faybusovich Takashi Tsuchiya	3
+	Primal-Dual Interior-Point Methods	1997	Stephen J. Wright	3
+ PDF Chat	Relativistic Toda systems	1990	S. N. M. Ruijsenaars	3
+	Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications	2003	Yongdo Lim Junghwa Kim Leonid Faybusovich	3
+	On the classical logarithmic barrier function method for a class of smooth convex programming problems	1992	Dick den Hertog C. Roos Tamás Terlaky	3
+	The Classical Moment Problem and Some Related Questions in Analysis	2020	Н. И. Ахиезер	3
+	Implementation of infinite-dimensional interior-point method for solving multi-criteria linear-quadratic control problem	2005	L. Faybusovich Thanasak Mouktonglang Takashi Tsuchiya	3
+	Self-Concordant Barriers for Cones Generated by Chebyshev Systems	2002	Leonid Faybusovich	3
+	On the bi-Hamiltonian structure of Toda and relativistic Toda lattices	1993	Yu. B. Suris	3
+ PDF Chat	Efficient optimization of the quantum relative entropy	2018	Hamza Fawzi Omar Fawzi	3
+ PDF Chat	Book Review: A mathematical view of interior-point methods in convex optimization	2003	Robert M. Freund	2
+	Construction scheme for discrete Miura transformations	1994	R. I. Yamilov	2
+	Hamiltonian and gradient structures in the Toda flows	1998	Anthony M. Bloch Michael Gekhtman	2
+	An Interior-Point Method for Minimizing the Maximum Eigenvalue of a Linear Combination of Matrices	1993	Florian Jarre	2
+	Exploiting sparsity in primal-dual interior-point methods for semidefinite programming	1997	Katsuki Fujisawa Masakazu Kojima Kazuhide Nakata	2