Estimates for solutions of bi-infinite systems of linear equations

被引：0
作者：
Yuriy S. Volkov
Sergey I. Novikov
机构：
[1] Sobolev Institute of Mathematics SB RAS,
[2] Krasovsky Institute of Mathematics and Mechanics UB RAS,undefined
来源：
European Journal of Mathematics | 2022年 / 8卷
关键词：
Difference equation; Infinite system of linear equations; Bi-infinite band matrix; Laurent’s matrix; Diagonal dominance; 15A06; 39A06; 15B05; 65F35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the problem of estimating in uniform norm solutions of nonhomogeneous difference equations. Difference equations are considered as bi-infinite systems of linear algebraic equations. We give the estimate for Laurent’s matrices with diagonal dominance. Based on this result and an idea of decomposition of the matrix into a product of matrices associated with factorization of the characteristic polynomial, we propose estimates for any nonsingular banded Laurent matrix. The established estimates are attainable.
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页码：722 / 731
页数：9
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