On unique solvability of the piecewise linear equation system
In this article, we take the piecewise linear equation system \(x-W|x|=b\), which is also known by absolute value equation, where \(W\in {\mathbb R}^ {n\times n}\), \(b\in {\mathbb R}^{n}\) are given and to undetermined the value of \(x\in {\mathbb R}^{n}\). The absolute value equation (AVE) has ma...
Main Authors: | Shubham Kumar, Deepmala |
---|---|
Format: | Article |
Language: | English |
Published: |
Publishing House of the Romanian Academy
2022-12-01
|
Series: | Journal of Numerical Analysis and Approximation Theory |
Subjects: | |
Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1271 |
Similar Items
-
The unique solvability conditions for a new class of absolute value equation
by: Kumar Shubham, et al.
Published: (2023-01-01) -
A note on the unique solvability condition for generalized absolute value matrix equation
by: Shubham Kumar, et al.
Published: (2022-09-01) -
On the solvability of the periodic problem for systems of linear functional differential equations with regular operators
by: Eugene Bravyi
Published: (2011-08-01) -
On the unique solvability of a non‐local boundary value problem for linear functional differential equations
by: András Rontó, et al.
Published: (2008-06-01) -
On solvability of focal boundary value problems for higher order functional differential equations with integral restrictions
by: Eugene Bravyi
Published: (2021-03-01)