TY - JOUR
T1 - Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices
AU - Berenhaut, Kenneth S.
AU - Bandyopadhyay, Dipankar
PY - 2005/7/1
Y1 - 2005/7/1
N2 - This paper studies off-diagonal decay in symmetric Toeplitz matrices. It is shown that if the generating sequence of the matrix is monotone, positive and convex then the monotonicity and positivity are maintained through triangular decomposition. The work is motivated by recent results on explicit bounds for inverses of triangular matrices.
AB - This paper studies off-diagonal decay in symmetric Toeplitz matrices. It is shown that if the generating sequence of the matrix is monotone, positive and convex then the monotonicity and positivity are maintained through triangular decomposition. The work is motivated by recent results on explicit bounds for inverses of triangular matrices.
KW - Cholesky decomposition
KW - Monotone convex sequences
KW - Toeplitz matrices
UR - http://www.scopus.com/inward/record.url?scp=18844407077&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=18844407077&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2005.01.021
DO - 10.1016/j.laa.2005.01.021
M3 - Article
AN - SCOPUS:18844407077
SN - 0024-3795
VL - 403
SP - 75
EP - 85
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 1-3
ER -