The Gaussian Toeplitz matrix

Pasupathy, J. ; Damodar, R. A. (1992) The Gaussian Toeplitz matrix Linear Algebra and its Applications, 171 (1). pp. 133-147. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0024-3795(92)90255-9

Abstract

An analytical expression for the LLT decomposition for the Gaussian Toeplitz matrix with elements Tij=[1/(2/π )1/2;σ ]exp[-(i-j)2/2σ 2] is derived. An exact expression for the determinant and bounds on the eigenvalues follows. An analytical expressions for the inverse T-1 is also derived.

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ID Code:58087
Deposited On:31 Aug 2011 12:39
Last Modified:31 Aug 2011 12:39

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