Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences
Some expressions are given for the determinant of an mn×mn block-Toeplitz band matrix L=[Li-j], with bandwidth (p+q+1)n<mn, in terms of the n×n generating matrix polynomial L(λ)=Σp+qj=0λjLp-j, detL-q≠0. In the scalar case this yields formulas for the determinant expressed via the zeros of the generating (scalar) polynomial. The approach adopted in this work leans heavily on the recently developed spectral theory of matrix polynomials. © 1987.
Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences
Tong Zhang, G.H. Golub, et al.
Linear Algebra and Its Applications
Andrew Skumanich
SPIE Optics Quebec 1993
Robert Manson Sawko, Malgorzata Zimon
SIAM/ASA JUQ