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ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 12/2019, Volume 45, Issue 4, pp. 23 - 23
.... Here, we propose a line search algorithm for finding a step size satisfying the strong Wolfe conditions in the vector optimization setting... 
Line search algorithm | vector optimization | Wolfe conditions | MATHEMATICS, APPLIED | PROXIMAL METHOD | MULTIOBJECTIVE OPTIMIZATION | NEWTON-LIKE METHODS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MINIMIZATION | PROJECTED GRADIENT-METHOD | CONVERGENCE | STEEPEST DESCENT METHODS | VARIANCE | EFFICIENT SOLUTIONS
Journal Article
International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 06/2008, Volume 57, Issue 6, pp. 761 - 792
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 06/2020, Volume 85, p. 105216
Journal Article
Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, ISSN 0258-8013, 05/2014, Volume 34, Issue 13, pp. 2196 - 2200
The convergence theorem of Newton-like power flow algorithm was presented based on initial value sensitivity problems of Newton-like power flow algorithm... 
The initial value | Initial value sensitivity | Newton-like power flow algorithm | Power flow convergence | Availability | Electrical engineering | Theorems | Algorithms | Computer simulation | Power flow | Mathematical analysis | Convergence
Journal Article
Applied numerical mathematics, ISSN 0168-9274, 2018, Volume 132, pp. 22 - 34
In this paper, we propose an inexact Newton-like conditional gradient method for solving constrained systems of nonlinear equations. The local convergence of... 
Inexact Newton-like method | Constrained nonlinear systems | Conditional gradient method | Local convergence | INJECTIVE-OVERDETERMINED SYSTEMS | MATHEMATICS, APPLIED | MAJORANT CONDITION | ALGORITHM | EQUATIONS | CONVERGENCE BEHAVIOR | SIMPLE BOUNDS | OPTIMIZATION
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 09/2009, Volume 57, Issue 9, pp. 3498 - 3511
Journal Article
Numerical Functional Analysis and Optimization, ISSN 0163-0563, 11/2014, Volume 35, Issue 11, pp. 1476 - 1499
In this article, we provide a semilocal analysis for the Steffensen-type method (STTM) for solving nonlinear equations in a Banach space setting using... 
Derivative free method | Semilocal convergence | Divided difference | Steffensen-type method | Banach space | Recurrence relations | NEWTON-LIKE METHODS | MATHEMATICS, APPLIED | THEOREM
Journal Article
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, ISSN 0022-3239, 06/2015, Volume 165, Issue 3, pp. 874 - 900
Journal Article
International journal of computer mathematics, ISSN 0020-7160, 2013, Volume 90, Issue 3, pp. 691 - 704
Journal Article
Numerical Algorithms, ISSN 1017-1398, 10/2013, Volume 64, Issue 2, pp. 295 - 309
... by Newton’s method and the doubling algorithm. When the two diagonal blocks of the matrix K have both large and small diagonal entries, the doubling algorithm often requires many more iterations than Newton’s method... 
Monotone convergence | Chebyshev’s method | Numeric Computing | Minimal nonnegative solution | Theory of Computation | Newton-like method | Algebraic Riccati equation | Algorithms | Algebra | 15A24 | Numerical Analysis | 65F30 | Computer Science | M -matrix | 65H10 | M-matrix | Chebyshev's method | MATHEMATICS, APPLIED | WIENER-HOPF FACTORIZATION | ITERATIVE SOLUTION | DOUBLING-ALGORITHM | Analysis | Methods | Newton methods | Chebyshev approximation | Mathematical models | Riccati equation | Iterative methods | Convergence
Journal Article
Journal of Harbin Institute of Technology (New Series), ISSN 1005-9113, 12/2007, Volume 14, Issue 6, pp. 803 - 806
Journal Article
Numerical Algorithms, ISSN 1017-1398, 6/2016, Volume 72, Issue 2, pp. 377 - 392
In this paper, inexact Gauss-Newton like methods for solving injective-overdetermined systems of equations are studied. We use a majorant condition, defined by... 
Inexact Gauss-Newton like methods | Algorithms | Algebra | Majorant condition | Numerical Analysis | Computer Science | Numeric Computing | Theory of Computation | Local convergence | Injective-overdetermined systems of equations | MATHEMATICS, APPLIED | LOCAL CONVERGENCE ANALYSIS | UNIQUENESS
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 04/2013, Volume 33, Issue 2, pp. 481 - 514
We present a homogeneous space geometry for the manifold of symmetric positive semidefinite matrices of fixed rank. The total space is a connected part of the... 
complete geodesic | positive semidefinite cone | quotient manifold | embedded submanifold | homogeneous space | low-rank matrix | MATHEMATICS, APPLIED | NEWTON-LIKE METHOD | MANIFOLDS | OPTIMIZATION | ALGORITHMS | Approximation | Quotients | Mathematical analysis | Images | Exact solutions | Matrices | Vectors (mathematics) | Matrix methods
Journal Article
INFORMS journal on computing, ISSN 1526-5528, 2019, Volume 31, Issue 2, pp. 235 - 250
Journal Article
Algorithms, ISSN 1999-4893, 2015, Volume 8, Issue 3, pp. 656 - 668
...  Algorithms 2015, 8, 656-668; doi:10.3390/a8030656 OPEN ACCESS ISSN 1999-4893 www.mdpi.com/journal/algorithms Juan Liang 1,, Xiaowu Li 2,,*, Zhinan Wu 3... 
Nonlinear equation | High-order convergence | Iterative methods | Newton-like method | Multiple roots | Nonlinear equations | Algorithms | Newton methods | Roots | Mathematical models | Convergence | newton-like method | iterative methods | high-order convergence | multiple roots | nonlinear equation
Journal Article
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