In BFGS, The Matrix Bk-1 Is Defined By Ykyi B:85 B1 Bk-1 = Bk + Y.Sk SE Bisk Where Be Is An Invertible Matrix And Y And S Are Two Column Vectors. Verify That Its Inverse Can Be Written As Bil1 = BI? + (S?yx + Y Ba'yx) (Sks]) Bily SF + Sky. Bit Szyk

 

 

2. In BFGS, the matrix Bk+1 is defined by ykyk Bk+1 = Bk + ysk BSS B SBkSk where B is an invertible matrix and y and s are two column vectors. Verify that its inverse can be written as B = B + (syk + yaByk) (sks) Byks + Sky B (sk) Skyk