Unformatted text preview: (a) Determine the critical point(s) of f . (b) Show that the bilinear form D 2 f ( a ) is semi-deﬁnite. Use directly the deﬁnition of positive/negative (semi)-deﬁniteness of bilinear forms. Do not use the criteria that we did not prove in the class. (c) Along the direction vectors for which the strict deﬁniteness is bro-ken, investigate if f increases or decreases. Ferit ¨ Ozt¨urk, Bo˘gazi¸ci University 2006...
View Full Document
- Spring '11
- Derivative, Quadratic form, bilinear form, Sesquilinear form, Bilinear map, Multilinear form