@article{MAKHILLJMMS202014228212,
    title = {Modified BFGS Update Based on Determinant Property of Hessian Matrix},
    journal = {Journal of Modern Mathematics and Statistics},
    volume = {14},
    number = {2},
    pages = {22-26},
    year = {2020},
    issn = {1994-5388},
    doi = {jmmstat.2020.22.26},
    url = {https://makhillpublications.co/view-article.php?issn=1994-5388&doi=jmmstat.2020.22.26},
    author = {Saad and},
    keywords = {approximation,iteration,unconstrained optimization,Zhang-Xu condition,Quasi-Newton condition,minimizer},
    abstract = {The aim of this study is to modified the BFGS
update based on the determinant property of Hessian
matrix by multiply the vector y (difference between the
next gradient and the current gradient) with a real number
say such that the determinant of the next Hessian matrix
equal to one at every iteration and because of the choice
of the initial Hessian approximation can be identity
matrix, so, the determinant of initial Hessian matrix is
also equal one and hence, the sequence of Hessian matrix
produced by the method never go to a near singular matrix
numerically which make the program never break before
get the minimizer of the objective function.}
    }