Name
Abstract | ||
|---|---|---|
We consider nonlinear algebraic systems of the form F ( x ) = Ax + p , x + n $F(x)= Ax+p, x\in \mathbb {R}^{n}_{+}$ , where A is a positive matrix and p a non-negative vector. They are involved quite naturally in many applications. For such systems we prove that a positive solution x exists and is unique. Moreover, we prove that x is an attraction point for three Newton-type iterations. A numerical experiment, concerning the computing times for such iterations, is presented. Previously known results, involving existence and uniqueness of solution for particular functions F and matrices A , are extended and generalized. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s11075-014-9849-5 | Numerical Algorithms |
Keywords | Field | DocType |
Nonlinear algebraic systems,Existence and uniqueness of the solution,Newton-type iterations,Attraction point | Discrete mathematics,Uniqueness,Mathematical optimization,Algebraic number,Nonlinear system,Of the form,Nonnegative matrix,Matrix (mathematics),Mathematical analysis,Algebraic equation,Mathematics | Journal |
Volume | Issue | ISSN |
68 | 2 | 1017-1398 |
Citations | PageRank | References |
1 | 0.43 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anca Ciurte | 1 | 3 | 1.26 |
| Sergiu Nedevschi | 2 | 1321 | 126.37 |
| Ioan Rasa | 3 | 15 | 8.99 |