Found 67 Documents (Results 1–67)
A new preconditioned nonlinear conjugate gradient method in real arithmetic for computing the ground states of rotational Bose-Einstein condensate. (English) Zbl 07860851
A boosted-DCA with power-sum-DC decomposition for linearly constrained polynomial programs. (English) Zbl 07846600
Two global quasi-Newton algorithms for solving matrix polynomial equations. (English) Zbl 1538.65125
A new class of nonlinear conjugate gradient coefficients for unconstrained optimization. (English) Zbl 1504.90099
On iterative algorithm and perturbation analysis for the nonlinear matrix equation. (English) Zbl 1513.15027
A new conjugate gradient method with descent properties and its application to regression analysis. (English) Zbl 1463.90241
A new class of mixed conjugate gradient method with exact line search. (Chinese. English summary) Zbl 1413.90258
On exact linesearch quasi-Newton methods for minimizing a quadratic function. (English) Zbl 1411.90248
A new classical conjugate gradient coefficient with exact line search. (English) Zbl 1468.90148
Chen, Chuei Yee (ed.) et al., Innovations through mathematical and statistical research. Proceedings of the 2nd international conference on mathematical sciences and statistics, ICMSS2016, Kuala Lumpur, Malaysia, January 26–28, 2016. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1739, Article ID 020082, 8 p. (2016).
Low rank approximation solution of a class of generalized Lyapunov equation. (English) Zbl 1374.65066
Another modified DPRP conjugate gradient method with global convergent properties. (English) Zbl 1343.65076
MSC:
65K10
A modified DPRP conjugate gradient method for unconstrained optimization. (English) Zbl 1330.65093
MSC:
65K10
A robust combined trust region-line search exact penalty projected structured scheme for constrained nonlinear least squares. (English) Zbl 1326.49048
Reviewer: Bülent Karasözen (Ankara)
An augmented Lagrangian iteration method for convex quadratic SDP. (Chinese. English summary) Zbl 1313.65132
A sequential quadratic optimization algorithm with rapid infeasibility detection. (English) Zbl 1301.49069
Reviewer: Hans Benker (Merseburg)
Convergence of pure and relaxed Newton methods for solving a matrix polynomial equation arising in stochastic models. (English) Zbl 1286.65064
A line search filter inexact SQP method for nonlinear equality constrained optimization. (English) Zbl 1269.49057
The convergence of Broyden algorithm without convexity and exact line search. (English) Zbl 1274.90391
MSC:
90C30
A new conjugate gradient coefficient for large scale nonlinear unconstrained optimization. (English) Zbl 1263.65062
A note on “A new iteration method for the matrix equation \(AX=B\)”. (English) Zbl 1261.65045
Reviewer: Constantin Popa (Constanţa)
A line search exact penalty method using steering rules. (English) Zbl 1254.90221
Reviewer: Gerhard-Wilhelm Weber; Erik Kropat
An efficient step size for BFGS. (English) Zbl 1178.90348
MSC:
90C53
Improved Newton’s method with exact line searches to solve quadratic matrix equation. (English) Zbl 1159.65044
Reviewer: R. P. Tewarson (Stony Brook)
MSC:
65F30
15A24
A derivative-free descent method for nonsmooth variational inequalities. (English) Zbl 1154.65058
Reviewer: Jan Lovíšek (Bratislava)
The convergence properties of some new conjugate gradient methods. (English) Zbl 1116.65073
Reviewer: Stefan Mititelu (Bucureşti)
A nonlinear conjugate gradient method under exact line search. (Chinese. English summary) Zbl 1140.90494
A truncated SQP algorithm for solving nonconvex equality constrained optimization problems. (English) Zbl 1066.90140
Di Pillo, Gianni (ed.) et al., High performance algorithms and software for nonlinear optimization. Selected lectures presented at the workshop, Erice, Italy, June 30–July 8, 2001. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7532-4/hbk). Appl. Optim. 82, 149-176 (2003).
On the realization of the Wolfe conditions in reduced quasi-Newton methods for equality constrained optimization. (English) Zbl 0885.49025
Algorithms for optimal design. (English) Zbl 0925.62332
Improved conjugate gradient methods with exact line search. (Chinese. English summary) Zbl 0877.65040
Reviewer: H.T.Lau (Verdun/Quebec)
Computing optimal approximate invariant designs for cubic regression on multidimensional balls and cubes. (English) Zbl 0848.62040
Generalized Newton’s method for \(\text{LC}^ 1\) unconstrained optimization. (English) Zbl 0830.65059
Reviewer: H.T.Lau (Verdun / Quebec)
Step size control for Newton’s method applied to algebraic Riccati equations. (English) Zbl 0819.65078
Lewis, John G. (ed.), Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 177-181 (1994).
MSC:
65F30
15A24
A class of modified Broyden algorithms. (English) Zbl 0826.65055
Reviewer: W.H.Schmidt (Greifswald)
Projection algorithms for linear programming. (English) Zbl 0767.90043
Reviewer: P.Loridan (Rantigny)
A class of DFP algorithms without exact linear search. (English) Zbl 0777.90062
Reviewer: N.Djuranović-Miličić (Beograd)
An efficient linesearch for convex piecewise-linear/quadratic functions. (English) Zbl 0746.90050
Advances in numerical partial differential equations and optimization, Proc. 5th Mex.-US Workshop, Mérida/Mex. 1989, 1-8 (1991).
Reviewer: H.Ratschek (Düsseldorf)
A successive quadratic programming method for a class of constrained nonsmooth optimization problems. (English) Zbl 0735.90062
Reviewer: P.D.Loewen
Proof of convergence of Rosen’s gradient projection method. (Chinese. English summary) Zbl 0667.90086
Reviewer: He Guangzhong
MSC:
90C30
Exact penalty function for nonlinear programming problems. (English. Russian original) Zbl 0659.90070
Cybernetics 22, 585-590 (1986); translation from Kibernetika 1986, No. 5, 43-46 (1986).
Reviewer: G.Xue
Convex quadratic programming with one constraint and bounded variables. (English) Zbl 0633.90057
Reviewer: A.Zilinskas
A recursive quadratic programming algorithm that uses differentiable exact penalty functions. (English) Zbl 0598.90079
Reviewer: C.A.Botsaris
A revised Newton method. (Chinese. English summary) Zbl 0636.65051
Reviewer: J.H.Tian
De la méthode de Newton à la méthode BFGS: théorie et pratique. II. (From Newton’s method to BFGS’s method: theory and practice. II). (French) Zbl 0612.65033
Remarks on the convergence of cyclic coordinate methods. (English) Zbl 0559.65044
Reviewer: R.S.Anderssen
A globally convergent constrained quasi-Newton method with an augmented Lagrangian type penalty function. (English) Zbl 0477.90056
Quasi-Newton-Verfahren vom Rang-Eins-Typ zur Lösung unrestringierter Minimierungsprobleme. II: n-Schritt-quadratische Konvergenz für Restart-Varianten. (German) Zbl 0469.65039
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