A new theoretical result for Quasi-Newton formulae for unconstrained optimization

الملخص EN

The recent measure function of Byrd and Nocedal [3] is considered and simple proofs of some its properties are given.

It is then shown that the AL-Bayati (1991) formulae satisfy a least change property with respect to this new measure .The new formula has any extended positive definite matrix of Brouden Type-Updates.