A control operator and some of its applications

DOI10.1016/0022-247X(84)90154-9zbMath0553.49022MaRDI QIDQ802132

M. A. Ibiejugba, P. Onumanyi

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

conjugate gradient method algorithmintegral quadratic cost

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Quadratic programming (90C20) Linear systems in control theory (93C05) Methods of reduced gradient type (90C52)

Related Items (9)

On the control of the navier- stokes equation with the extended conjugate gradient method ⋮ A penalty optimization technique for a class of regulator problems ⋮ On the construction of some functional inequalities via ECGM algorithm ⋮ Optimal control of the wave propagation problem with the extended conjugate gradient method ⋮ An extended conjugate gradient algorithm for the diffusion equation ⋮ A penalty optimization technique for a class of regulator problems. III ⋮ The role of the multipliers in the multiplier method ⋮ Conventional penalty optimization methods ⋮ Computational results of the optimal control of the diffusion equation with the extended conjugate gradient algorithm

Cites Work

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• Software for a method of finite approximations for the numerical solution of differential equations
• On the Ritz penalty method for solving the control of a diffusion equation
• Iterative methods for solving linear equations
• A newton-type computing technique for optimal control problems
• Numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error
• Function minimization by conjugate gradients
• The Conjugate Gradient Method for Linear and Nonlinear Operator Equations
• Methods of conjugate gradients for solving linear systems

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