Bounding the growth factor in Gaussian elimination for Buckley's class of complex symmetric matrices
Khakim Dododzhanovich Ikramov, Andrey B. Kucherov · Numerical Linear Algebra with Applications · 2000
A Buckley matrix is an n × n complex symmetric matrix A = I n + iC, where C is real symmetric positive definite. We prove that, for such A the growth factor in Gaussian elimination is not greater than $${1 + \sqrt{17} \over 4} \simeq 1.28078\ldots$$ Copyright © 2000 John Wiley & Sons, Ltd.