Found 178 Documents (Results 1–100)
A novel stepsize for gradient descent method. (English) Zbl 07873433
MSC:
90-XX
A projected gradient method for nonlinear inverse problems with \(\alpha \ell_1 - \beta \ell_2\) sparsity regularization. (English) Zbl 07864550
Combined Newton-gradient method for constrained root-finding in chemical reaction networks. (English) Zbl 1531.65078
A modified generalized version of projected reflected gradient method in Hilbert spaces. (English) Zbl 1542.65070
A nonsmooth method for spatial frictional contact dynamics of flexible multibody systems with large deformation. (English) Zbl 1534.74048
Linearized Douglas-Rachford method for variational inequalities with Lipschitz mappings. (English) Zbl 1538.47114
Convergence analysis of volumetric stretch energy minimization and its associated optimal mass transport. (English) Zbl 07754947
An inexact projected gradient method with rounding and lifting by nonlinear programming for solving rank-one semidefinite relaxation of polynomial optimization. (English) Zbl 1522.90033
A framework of convergence analysis of mini-batch stochastic projected gradient methods. (English) Zbl 1524.62385
An augmented Lagrangian method for optimization problems with structured geometric constraints. (English) Zbl 1518.90060
An efficient PGM-based algorithm with backtracking strategy for solving quadratic optimization problems with spherical constraint. (English) Zbl 1499.65232
Linear convergence analysis for a nonmonotone projected gradient algorithm solving multiobjective optimization problems. (English) Zbl 1499.90211
Convergence analysis of a nonmonotone projected gradient method for multiobjective optimization problems on Riemannian manifolds. (English) Zbl 1491.65043
A new augmented Lagrangian method for MPCCs – theoretical and numerical comparison with existing augmented Lagrangian methods. (English) Zbl 1489.90197
An extended projected residual algorithm for solving smooth convex optimization problems. (English) Zbl 1493.65110
A matrix-free trust-region Newton algorithm for convex-constrained optimization. (English) Zbl 1489.90136
Linear convergence of a nonmonotone projected gradient method for multiobjective optimization. (English) Zbl 1486.90182
Four algorithms to solve symmetric multi-type non-negative matrix tri-factorization problem. (English) Zbl 1486.90156
Exponentially convergent algorithm design for constrained distributed optimization via nonsmooth approach. (English) Zbl 07480834
Inexact variable metric method for convex-constrained optimization problems. (English) Zbl 1486.90186
Generalized conditional gradient method for elastic-net regularization. (English) Zbl 1481.65085
MSC:
65J20
An efficient and robust structural reliability analysis method with mixed variables based on hybrid conjugate gradient direction. (English) Zbl 07863147
MSC:
90Cxx
Accelerated projected gradient method with adaptive step size for compliance minimization problem. (English) Zbl 1506.90208
Convergence analysis of a projected gradient method for multiobjective optimization problems. (English) Zbl 1527.90213
On the convergence rate of projected gradient descent for a back-projection based objective. (English) Zbl 1474.65183
A general inertial projected gradient method for variational inequality problems. (English) Zbl 1476.65115
Convergence of a nonmonotone projected gradient method for nonconvex multiobjective optimization. (English) Zbl 1511.90385
MSC:
90C29
A projected extrapolated gradient method with larger step size for monotone variational inequalities. (English) Zbl 1518.47100
Numerical methods for the resource allocation problem in a computer network. (English. Russian original) Zbl 1460.90051
Comput. Math. Math. Phys. 61, No. 2, 297-328 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 2, 312-344 (2021).
Algorithms for simple bilevel programming. (English) Zbl 1481.90251
Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 253-291 (2020).
MSC:
90C25
Optimal heating of an indoor swimming pool. (English) Zbl 1473.80008
Lindner, Ewald (ed.) et al., Mathematical modelling in real life problems. Case studies from ECMI-modelling weeks. Cham: Springer. Math. Ind. 33, 87-101 (2020).
A nonmonotone spectral projected gradient method for tensor eigenvalue complementarity problems. (English) Zbl 1473.65077
A projected gradient method for \(\alpha\ell_1-\beta\ell_2\) sparsity regularization. (English) Zbl 1456.65040
A novel projected gradient-like method for optimization problems with simple constraints. (English) Zbl 1449.65125
A hybrid quasi-Newton projected-gradient method with application to lasso and basis-pursuit denoising. (English) Zbl 1434.90118
Solving the logit-based stochastic user equilibrium using modified projected conjugate gradient method via convex model. (English) Zbl 1455.65099
Computing ground states of Bose-Einstein condensates with higher order interaction via a regularized density function formulation. (English) Zbl 1439.35436
Reviewer: Eugene Postnikov (Kursk)
Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation. (English) Zbl 1428.49032
Self-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operators. (English) Zbl 1446.47077
Spectral projected gradient methods for generalized tensor eigenvalue complementarity problems. (English) Zbl 07042045
MSC:
65-XX
Efficient projected gradient methods for cardinality constrained optimization. (English) Zbl 1409.90227
Optimal control of an elastic crane-trolley-load system – a case study for optimal control of coupled ODE-PDE systems. (English) Zbl 1486.49002
Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation. (English) Zbl 1499.65568
Nonmonotone spectral projection gradient method for solving generalized Lyapunov equations. (Chinese. English summary) Zbl 1438.65084
Convergence rate analysis of projected stochastic subgradient method using conjugate gradient-like direction. (English) Zbl 1424.90197
Leader selection problem for stochastically forced consensus networks based on matrix differentiation. (English) Zbl 1400.60119
Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. (English) Zbl 1382.94016
Optimization of plane wave directions in plane wave discontinuous Galerkin methods for the Helmholtz equation. (English) Zbl 1376.65098
Reviewer: Pavel Burda (Praha)
Bounded perturbation resilience and superiorization techniques for the projected scaled gradient method. (English) Zbl 1372.65185
Reviewer: Başak Akteke-Öztürk (Ankara)
An extension of the projected gradient method to a Banach space setting with application in structural topology optimization. (English) Zbl 1366.49032
Iterative methods for the elastography inverse problem of locating tumors. (English) Zbl 1401.92127
Rassias, Themistocles M. (ed.) et al., Essays in mathematics and its applications. In honor of Vladimir Arnold. Cham: Springer (ISBN 978-3-319-31336-8/hbk; 978-3-319-31338-2/ebook). 101-131 (2016).
On linear convergence of projected gradient method for a class of affine rank minimization problems. (English) Zbl 1364.90321
Convergence of one-step projected gradient methods for variational inequalities. (English) Zbl 06661393
\(L_p\)-norm regularization algorithms for optimization over permutation matrices. (English) Zbl 1353.65055
On the low rank solution of the Q-weighted nearest correlation matrix problem. (English) Zbl 1413.62075
An efficient optimization approach for a cardinality-constrained index tracking problem. (English) Zbl 1382.90117
Numerical optimization with computational errors. (English) Zbl 1347.65112
Springer Optimization and Its Applications 108. Cham: Springer (ISBN 978-3-319-30920-0/hbk; 978-3-319-30921-7/ebook). ix, 304 p. (2016).
Reviewer: Hans Benker (Merseburg)
An alternating direction method for solving a class of inverse semi-definite quadratic programming problems. (English) Zbl 1317.90228
Scattered data interpolation with nonnegative preservation using bivariate splines and its application. (English) Zbl 1375.65029
Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators. (English) Zbl 1338.49021
Bilevel optimization for calibrating point spread functions in blind deconvolution. (English) Zbl 1343.49023
A survey on optimal control problems with differential-algebraic equations. (English) Zbl 1331.49001
Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations II. Cham: Springer (ISBN 978-3-319-11049-3/pbk; 978-3-319-11050-9/ebook). Differential-Algebraic Equations Forum, 103-161 (2015).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Projected gradient method for non-negative least square. (English) Zbl 1326.65071
Reich, Simeon (ed.) et al., Infinite products of operators and their applications. A research workshop of the Israel Science Foundation, Haifa, Israel, May 21–24, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1480-1/pbk; 978-1-4704-2275-2/ebook). Contemporary Mathematics 636. Israel Mathematical Conference Proceedings, 167-179 (2015).
An active-set method for second-order conic-constrained quadratic programming. (English) Zbl 1327.90167
Domain decomposition with Nesterov’s method. (English) Zbl 1382.65165
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 947-954 (2014).
A new approximation of the matrix rank function and its application to matrix rank minimization. (English) Zbl 1317.90280
Reviewer: Jan-Joachim Rückmann (Bergen)
An infeasible-point subgradient method using adaptive approximate projections. (English) Zbl 1304.90159
LA projected conjugate gradient method for sparse reconstruction with applications to compressed sensing. (English) Zbl 1286.65080
Reviewer: Hang Lau (Montréal)
Application of the restrained optimal perturbation method to study the backward heat conduction problem. (English) Zbl 1329.80012
A new nonmonotone spectral projected gradient method for bound constrained optimization. (Chinese. English summary) Zbl 1299.90311
A subspace-projected approximate matrix method for systems of linear equations. (English) Zbl 1287.65021
A superlinearly convergent exact penalty method for constrained nonlinear least squares: global analysis. (English) Zbl 1279.65077
Reviewer: Hans Benker (Merseburg)
Monotone and nonmonotone trust-region-based algorithms for large scale unconstrained optimization problems. (English) Zbl 1267.90142
Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient. (English) Zbl 1258.49066
Semiconvergence and relaxation parameters for projected SIRT algorithms. (English) Zbl 1254.65044
Reviewer: Adhemar Bultheel (Leuven)
An alternating determination-optimization approach for an additive multi-index model. (English) Zbl 1243.62041
Iterative methods for fixed point problems in Hilbert spaces. (English) Zbl 1256.47043
Lecture Notes in Mathematics 2057. Berlin: Springer (ISBN 978-3-642-30900-7/pbk; 978-3-642-30901-4/ebook). xvi, 298 p. (2012).
Reviewer: Vasile Berinde (Baia Mare)
Dynamical system characterization of the central path and its variants – a revisit. (English) Zbl 1242.90157
A projected gradient trust-region method for solving nonlinear systems with convex constraints. (English) Zbl 1240.90378
A review on restoration of seismic wavefields based on regularization and compressive sensing. (English) Zbl 1230.86002
On the convergence of the projected gradient method for vector optimization. (English) Zbl 1231.90331
A parallel decomposition algorithm for training multiclass kernel-based vector machines. (English) Zbl 1226.90106
(Nonlocal) total variation in medical imaging. (English) Zbl 1304.92032
Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). viii, 215 p. (2011).
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