### Abstract

We give a thorough investigation of the structure of solution sets of both homogeneous and inhomogeneous systems of linear equations, from the viewpoint of their minimal solutions (which use minimal sets of columns of the coefficient matrix). We also discuss applications in chemistry (stoichiometry).

Original language | English |
---|---|

Pages (from-to) | 529-541 |

Number of pages | 13 |

Journal | Miskolc Mathematical Notes |

Volume | 13 |

Issue number | 2 |

Publication status | Published - 2012 |

### Fingerprint

### Keywords

- Linear algebra
- Minimal reactions
- Minimal solutions of system of linear equations
- Simplex
- Stoichiometry

### ASJC Scopus subject areas

- Algebra and Number Theory
- Analysis
- Control and Optimization
- Discrete Mathematics and Combinatorics
- Numerical Analysis

### Cite this

*Miskolc Mathematical Notes*,

*13*(2), 529-541.

**On minimal solutions of systems of linear equations with applications.** / Szalkai, István; Dósa, G.; Tuza, Z.; Szalkai, Balázs.

Research output: Contribution to journal › Article

*Miskolc Mathematical Notes*, vol. 13, no. 2, pp. 529-541.

}

TY - JOUR

T1 - On minimal solutions of systems of linear equations with applications

AU - Szalkai, István

AU - Dósa, G.

AU - Tuza, Z.

AU - Szalkai, Balázs

PY - 2012

Y1 - 2012

N2 - We give a thorough investigation of the structure of solution sets of both homogeneous and inhomogeneous systems of linear equations, from the viewpoint of their minimal solutions (which use minimal sets of columns of the coefficient matrix). We also discuss applications in chemistry (stoichiometry).

AB - We give a thorough investigation of the structure of solution sets of both homogeneous and inhomogeneous systems of linear equations, from the viewpoint of their minimal solutions (which use minimal sets of columns of the coefficient matrix). We also discuss applications in chemistry (stoichiometry).

KW - Linear algebra

KW - Minimal reactions

KW - Minimal solutions of system of linear equations

KW - Simplex

KW - Stoichiometry

UR - http://www.scopus.com/inward/record.url?scp=84877357379&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84877357379&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84877357379

VL - 13

SP - 529

EP - 541

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

SN - 1787-2405

IS - 2

ER -