The structured distance to normality of Toeplitz matrices with application to preconditioning

作者：Noschese Silvia; Reichel Lothar^*

来源：Numerical Linear Algebra with Applications, 2011, 18(3): 429-447.

DOI：10.1002/nla.735

• Toeplitz matrix
• circulant matrix
• {e(i phi)}-circulant
• matrix nearness problem
• distance to normality
• preconditioning

A formula for the distance of a Toeplitz matrix to the subspace of {e(i phi)}-circulant matrices is presented, and applications of {e(i phi)}-circulant matrices to preconditioning of linear systems of equations with a Toeplitz matrix are discussed.

• 出版日期2011-5