TY - JOUR
A2 - Soleymani, Fazlollah
AU - Tian, Yunbo
AU - Xia, Chao
PY - 2021
DA - 2021/07/31
TI - On the Low-Degree Solution of the Sylvester Matrix Polynomial Equation
SP - 4612177
VL - 2021
AB - We study the low-degree solution of the Sylvester matrix equation A1λ+A0Xλ+YλB1λ+B0=C0, where A1λ+A0 and B1λ+B0 are regular. Using the substitution of parameter variables λ, we assume that the matrices A0 and B0 are invertible. Thus, we prove that if the equation is solvable, then it has a low-degree solution Lλ,Mλ, satisfying the degree conditions δLλ<IndA0−1A1 and δMλ<IndB1B0−1.
SN - 2314-4629
UR - https://doi.org/10.1155/2021/4612177
DO - 10.1155/2021/4612177
JF - Journal of Mathematics
PB - Hindawi
KW -
ER -