www.gusucode.com > elmat工具箱matlab源码程序 > elmat/private/parter.m
function A = parter(n,classname) %PARTER Parter matrix (Toeplitz with singular values near pi). % C = GALLERY('PARTER',N) returns the matrix C such that % C(i,j) = 1/(i-j+0.5). % C is a Cauchy matrix and a Toeplitz matrix. % Most of the singular values of C are very close to pi. % References: % [1] MathWorks Newsletter, Volume 1, Issue 1, March 1986, page 2. % [2] A. Bottcher and B. Silbermann, Introduction to Large Truncated % Toeplitz Matrices, Springer-Verlag, New York, 1999; Sec. 4.5. % [3] S. V. Parter, On the distribution of the singular values of % Toeplitz matrices, Linear Algebra and Appl., 80(1986), pp. 115-130. % [4] E. E. Tyrtyshnikov, Cauchy-Toeplitz matrices and some applications, % Linear Algebra and Appl., 149 (1991), pp. 1-18. % Copyright 1984-2008 The MathWorks, Inc. A = gallery('cauchy', (1:n)+0.5, -(1:n), classname);