Research from all publishers Recent investigations have enhanced the performance and convergence properties of conjugate gradient methods. For example, modifications to the classical algorithms ...

Main results: the investigation of conjugate gradient method properties is replaced by the investigation of some approximation problems; a rate of convergence is characterized by a Jacobi matrix ...

Since every plane-harmonic function is associated with a conjugate, problems in which normal gradients are specified on the boundary can be transformed into problems in which boundary values are ...

Conjugate gradient methods form a class of iterative algorithms that are highly effective for solving large‐scale unconstrained optimisation problems.