TY - GEN
T1 - Fraction-free inversion of a Toeplitz matrix
AU - Bistritz, Yuval
AU - Segalov, Yaron
PY - 2010
Y1 - 2010
N2 - The paper considers Levinson algorithms for Hermitian and non-Hermitian Toeplitz matrices that for integer matrices remain fraction-free (FF). A recently introduced FF algorithm is extended from Hermitian to non-symmetric Toeplitz matrices. An alternative proof for the integer-preservation property is obtained by linking the elements of the solution vectors to minors of the Toeplitz matrix. These links are also used to prove that the length of integers grows at a very restrained rate, a property that implies that the algorithms are very efficient integer algorithms.
AB - The paper considers Levinson algorithms for Hermitian and non-Hermitian Toeplitz matrices that for integer matrices remain fraction-free (FF). A recently introduced FF algorithm is extended from Hermitian to non-symmetric Toeplitz matrices. An alternative proof for the integer-preservation property is obtained by linking the elements of the solution vectors to minors of the Toeplitz matrix. These links are also used to prove that the length of integers grows at a very restrained rate, a property that implies that the algorithms are very efficient integer algorithms.
UR - http://www.scopus.com/inward/record.url?scp=77955991491&partnerID=8YFLogxK
U2 - 10.1109/ISCAS.2010.5537668
DO - 10.1109/ISCAS.2010.5537668
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AN - SCOPUS:77955991491
SN - 9781424453085
T3 - ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems
SP - 449
EP - 452
BT - ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems
Y2 - 30 May 2010 through 2 June 2010
ER -