Characteristic polynomials of distance matrices of one dimensional sets

Linear Algebra and Its Applications - Tập 428 - Trang 2614-2638 - 2008
Kenneth W. Holladay1
1Mathematics Department, University of New Orleans, New Orleans, LA, United States

Tài liệu tham khảo

Andrew, 1973, Eigenvectors of certain matrices, Linear Algebra Appl., 7, 151, 10.1016/0024-3795(73)90049-9 Golub, 1983 Good, 1970, The inverse of a centrosymmetric matrix, Technometrics, 12, 925, 10.1080/00401706.1970.10488743 Han, 1986, Relative eigenvalues of Hermitian matrices, Linear Algebra Appl., 81, 75, 10.1016/0024-3795(86)90250-8 Holladay, 2002, The distance matrix eigensystem of an equally spaced row of points, Linear Algebra Appl., 347, 17, 10.1016/S0024-3795(01)00527-4 Marcus, 1989, A note on the determinants and eigenvalues of distance matrices, Linear Multilinear Algebra, 25, 219, 10.1080/03081088908817944 Neumaier, 1990, Derived eigenvalues of symmetric matrices with applications to distance geometry, Linear Algebra Appl., 134, 107, 10.1016/0024-3795(90)90009-2 Powell, 1985, Raidial basis functions for multivariable approximation: a review, 143 Reid, 1997, Some eigenvalue properties of persymmetric matrices, SIAM Rev., 39, 313, 10.1137/S0036144595294801 Schoenberg, 1937, On certain metric spaces arising from Euclidean spaces by a change of metric and their imbedding in Hilbert space, Annals Math., 38, 787, 10.2307/1968835 Weaver, 1985, Centrosymmetric (cross-symmetric) matrices, their basic properties, eigenvalues, and eigenvectors, Amer. Math. Monthly, 92, 711, 10.2307/2323222