spec_root0: Give the spectral parameters for zero eigenvalues of...

In mcompanion: Objects and Methods for Multi-Companion Matrices

Give the spectral parameters for zero eigenvalues of mc-matrices

Description

Give the spectral parameters for zero eigenvalues of mc-matrices.

Usage

spec_root0(dim, mo, mo.col)

Arguments

dim	dimension of the matrix, a positive integer.
mo	multi-companion order, a positive integer.
mo.col	last non-zero column in the top of the mc-matrix, a non-negative integer.

Details

spec_root0 prepares a structure for the zero roots of an mc-matrix.

Value

a list with the following components:

mo	multi-companion order
ev.type	type of the eigenvalues
co.type	not used currently (:todo:)
n.root	number of non-zero roots
ev.abs	absolute values of roots
ev.arg	arguments of eigenvalues (0 for positive ev)
block.length	lengths of Jordan blocks
co.abs	absolute values of seed parameters
co.arg	arguments of seed parameters (Hz: 0 for positive; 1/2 for negative)
co0	redundant but keep it for now.

Author(s)

Georgi N. Boshnakov

See Also

spec_root1, mcSpec

Examples

spec_root0(4,2,3)
spec_root0(4,2,2)
spec_root0(4,2,1)
spec_root0(5,2,3)
spec_root1(4,2,2)

spec_root0(6,4,2)
spec_root0(6,4,4)
spec_root0(10,4,8)

mcompanion documentation built on Sept. 22, 2023, 5:12 p.m.