Autzoo.1607 misc utzoo!phyllis Thu Apr 29 11:35:44 1982 DCS seminar List Following is a list of seminars being held at the Dept. of Computer Science during the week of **May 3** Wednesday, May 5th, 4:00 P.M., MP134: Professor Witold Lipsky, Inst. of Computer Science, Polish Acad. Sci., Warsaw (visiting the Univ. of Illinois), "On representing incomplete information relational databases." Thursday, May 6th, 4:00 P.M., MP134: Prof. Len Freeman, Univ. of Cincinnati, "The use of projections in quasi-Newton minimisation algorithms." **Abstract** In 1975, Davidson introduced a new class of quasi-Newton minimisation methods, which even when the line search is inexact, are guaranteed to minimise a positive definite quadratic function in a finite number of iterations. These methods have the structure of a traditional quasi-Newton method, but the updating is in terms of projected vectors. We shall review the development of these methods and shall describe a computer implementation which is both efficient and stable. Finally we present numerical results which indicate the value of the new methods.