Found 115 Documents (Results 1–100)
A new approximate descent derivative-free algorithm for large-scale nonlinear symmetric equations. (English) Zbl 07910926
A new accelerated algorithm for solving variational inequalities over the solution of multiple set split common fixed point problem. (English) Zbl 07905950
A family of spectral conjugate gradient methods with strong convergence and its applications in image restoration and machine learning. (English) Zbl 1543.90305
A conjugate gradient projection method with restart procedure for solving constraint equations and image restorations. (English) Zbl 07893861
A new hybrid CGPM-based algorithm for constrained nonlinear monotone equations with applications. (English) Zbl 1543.65084
Eigenvalue analyses on the memoryless Davidon-Fletcher-Powell method based on a spectral secant equation. (English) Zbl 1537.65065
A class of spectral conjugate gradient methods for Riemannian optimization. (English) Zbl 1526.65024
A class of improved conjugate gradient methods for nonconvex unconstrained optimization. (English) Zbl 07729597
MSC:
65K10
Solving unconstrained optimization problems with some three-term conjugate gradient methods. (English) Zbl 1517.65045
Memoryless quasi-Newton methods based on the spectral-scaling Broyden family for Riemannian optimization. (English) Zbl 1515.65159
A class of new three-term descent conjugate gradient algorithms for large-scale unconstrained optimization and applications to image restoration problems. (English) Zbl 07694955
A class of three-term derivative-free methods for large-scale nonlinear monotone system of equations and applications to image restoration problems. (English) Zbl 1509.65040
A hybrid Riemannian conjugate gradient method for nonconvex optimization problems. (English) Zbl 1510.65118
A modified secant equation quasi-Newton method for unconstrained optimization. (English) Zbl 1509.65050
Three adaptive hybrid derivative-free projection methods for constrained monotone nonlinear equations and their applications. (English) Zbl 07675620
Reviewer: Ctirad Matonoha (Praha)
A five-parameter class of derivative-free spectral conjugate gradient methods for systems of large-scale nonlinear monotone equations. (English) Zbl 07714912
An efficient hybrid conjugate gradient method with sufficient descent property for unconstrained optimization. (English) Zbl 1511.65049
Adaptive three-term family of conjugate residual methods for system of monotone nonlinear equations. (English) Zbl 1502.65034
A three-term conjugate gradient method with accelerated subspace quadratic optimization. (English) Zbl 1496.90034
A new family of hybrid three-term conjugate gradient methods with applications in image restoration. (English) Zbl 1496.65076
Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations. (English) Zbl 1483.90161
Descent three-term DY-type conjugate gradient methods for constrained monotone equations with application. (English) Zbl 1499.65212
Enhanced Dai-Liao conjugate gradient methods for systems of monotone nonlinear equations. (English) Zbl 1476.65109
An adaptive three-term conjugate gradient method with sufficient descent condition and conjugacy condition. (English) Zbl 1488.49058
Using nonlinear functions to approximate a new quasi-Newton method for unconstrained optimization problems. (English) Zbl 1465.65050
Spectral three-term conjugate descent method for solving nonlinear monotone equations with convex constraints. (English) Zbl 1476.65094
New nonlinear conjugate gradient methods based on optimal Dai-Liao parameters. (English) Zbl 1474.90449
Descent Perry conjugate gradient methods for systems of monotone nonlinear equations. (English) Zbl 1455.65085
A modified nonlinear Polak-Ribière-Polyak conjugate gradient method with sufficient descent property. (English) Zbl 1451.90152
A Dai-Liao conjugate gradient method via modified secant equation for system of nonlinear equations. (English) Zbl 1445.90108
Some three-term conjugate gradient methods with the new direction structure. (English) Zbl 1437.90163
A new accelerated conjugate gradient method for large-scale unconstrained optimization. (English) Zbl 1499.90216
A conjugate gradient algorithm and its application in large-scale optimization problems and image restoration. (English) Zbl 1499.90131
Continuous analogue to iterative optimization for PDE-constrained inverse problems. (English) Zbl 07352692
Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery. (English) Zbl 1453.65120
A scaled three-term conjugate gradient method for large-scale unconstrained optimization problem. (English) Zbl 1433.90160
An optimal parameter choice for the Dai-Liao family of conjugate gradient methods by avoiding a direction of the maximum magnification by the search direction matrix. (English) Zbl 1425.90134
Scaled nonlinear conjugate gradient methods for nonlinear least squares problems. (English) Zbl 1421.90166
A modified Hestenes-Stiefel conjugate gradient method with an optimal property. (English) Zbl 1461.65114
An efficient adaptive three-term extension of the Hestenes-Stiefel conjugate gradient method. (English) Zbl 1411.65081
A further analysis of backward error in polynomial deflation. (English) Zbl 1412.26030
Reviewer: Piroska Lakatos (Debrecen)
A conjugate gradient algorithm for large-scale unconstrained optimization problems and nonlinear equations. (English) Zbl 1497.90162
A new modified three-term Hestenes-Stiefel conjugate gradient method with sufficient descent property and its global convergence. (English) Zbl 1460.90205
Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization. (English) Zbl 07006517
Some three-term conjugate gradient methods with the inexact line search condition. (English) Zbl 1393.90116
A class of descent four-term extension of the Dai-Liao conjugate gradient method based on the scaled memoryless BFGS update. (English) Zbl 1365.65159
A scaled conjugate gradient method with moving asymptotes for unconstrained optimization problems. (English) Zbl 1364.65124
Some modified Yabe-Takano conjugate gradient methods with sufficient descent condition. (English) Zbl 1358.49027
A new modified Barzilai-Borwein gradient method for the quadratic minimization problem. (English) Zbl 1358.65039
A new three-term conjugate gradient method with descent direction for unconstrained optimization. (English) Zbl 1488.49059
A sufficient descent three-term conjugate gradient method via symmetric rank-one update for large-scale optimization. (English) Zbl 1335.65054
Reviewer: Hang Lau (Montréal)
New version of the three-term conjugate gradient method based on spectral scaling conjugacy condition that generates descent search direction. (English) Zbl 1410.90195
A new class of efficient and globally convergent conjugate gradient methods in the Dai-Liao family. (English) Zbl 1328.90143
A new three-term conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1321.65092
Reviewer: Guoqiang Wang (Shanghai)
A modified Hestenes-Stiefel conjugate gradient method with sufficient descent condition and conjugacy condition. (English) Zbl 1309.65074
Acceleration method for convex optimization over the fixed point set of a nonexpansive mapping. (English) Zbl 1338.90301
Reviewer: Simeon Reich (Haifa)
New conjugate gradient-like methods for unconstrained optimization. (English) Zbl 1308.65090
Reviewer: Guoqiang Wang (Shanghai)
An accelerated subspace minimization three-term conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1301.65041
Reviewer: Hang Lau (Montréal)
A nonmonotone supermemory gradient algorithm for unconstrained optimization. (English) Zbl 1296.90116
The convergence rate of a three-term HS method with restart strategy for unconstrained optimization problems. (English) Zbl 1305.90386
On the convergence properties of the unmodified PRP method with a non-descent line search. (English) Zbl 1286.90145
A new conjugate gradient algorithm for training neural networks based on a modified secant equation. (English) Zbl 1329.65128
A smoothing conjugate gradient method for solving systems of nonsmooth equations. (English) Zbl 1288.65073
MSC:
65H10
A class of modified BFGS methods with function value information for unconstrained optimization. (English) Zbl 1401.90269
A hybrid conjugate gradient method based on a quadratic relaxation of the Dai-Yuan hybrid conjugate gradient parameter. (English) Zbl 1278.65085
Optimization 62, No. 7, 929-941 (2013); addendum ibid. 63, No. 4, 657-659 (2014).
On three-term conjugate gradient algorithms for unconstrained optimization. (English) Zbl 1274.90372
Multi-operator based biogeography based optimization with mutation for global numerical optimization. (English) Zbl 1268.90150
Accumulative approach in multistep diagonal gradient-type method for large-scale unconstrained optimization. (English) Zbl 1254.90226
A two-step matrix-free secant method for solving large-scale systems of nonlinear equations. (English) Zbl 1247.65068
MSC:
65H10
Conjugate gradient methods based on secant conditions that generate descent search directions for unconstrained optimization. (English) Zbl 1258.65059
Reviewer: Ctirad Matonoha (Prague)
A descent Dai-Liao conjugate gradient method based on a modified secant equation and its global convergence. (English) Zbl 1245.65067
MSC:
65K05
A perturb biogeography based optimization with mutation for global numerical optimization. (English) Zbl 1226.65055
Improved Hessian approximation with modified secant equations for symmetric rank-one method. (English) Zbl 1209.65062
A new two-step gradient-type method for large-scale unconstrained optimization. (English) Zbl 1198.90395
Two new conjugate gradient methods based on modified secant equations. (English) Zbl 1202.65071
Reviewer: Vasilis Dimitriou (Chania)
MSC:
65K05
Nonlinear conjugate gradient methods with structured secant condition for nonlinear least squares problems. (English) Zbl 1223.65043
MSC:
65K05
Numerical experience with multiple update quasi-Newton methods for unconstrained optimization. (English) Zbl 1344.65055
Local and superlinear convergence of quasi-Newton methods based on modified secant conditions. (English) Zbl 1124.65054
Reviewer: Nada Djuranović-Miličić (Belgrade)
Three-step fixed-point quasi-Newton methods for unconstrained optimisation. (English) Zbl 1086.65059
A new super-memory gradient method with curve search rule. (English) Zbl 1081.65058
Reviewer: Karel Zimmermann (Praha)
A new class of memory gradient methods with inexact line searches. (English) Zbl 1072.65086
Reviewer: Silvia Curteanu (Iaşi)
A new descent algorithm with curve search rule. (English) Zbl 1069.65065
Reviewer: H. Ratschek (Düsseldorf)
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