%0 Journal Article %A Qian-Ping Guo and Hou-Biao Li %D 2014 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 85, 2014 %T A New Proof on the Growth Factor in Gaussian Elimination for Generalized Higham Matrices %U https://publications.waset.org/pdf/9997825 %V 85 %X The generalized Higham matrix is a complex symmetric matrix A = B + iC, where both B ∈ Cn×n and C ∈ Cn×n are Hermitian positive definite, and i = √−1 is the imaginary unit. The growth factor in Gaussian elimination is less than 3√2 for this kind of matrices. In this paper, we give a new brief proof on this result by different techniques, which can be understood very easily, and obtain some new findings. %P 230 - 232