Based on an eigenvalue analysis, a descent class of two-parameter extension of the conjugate gradient method proposed by Polak and Ribière (1969), and Polyak (1969) is suggested.It is interesting that the one-parameter ...

Symmetrizing the Dai–Liao (DL) search direction matrix by a rank-one modification, we propose a one-parameter class of nonlinear conjugate gradient (CG) methods which includes the memoryless Broyden–Fletcher–Goldfarb–Shanno ...

We present several matrix and operator inequalities of

Hermite--Hadamard type. We first establish a majorization version

for monotone convex functions on matrices. We then utilize the

Mond--Pecaric ...