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Database of Test Problems

Project description

Folder structure

|-> functions
|	|-> files to manipulate the database and use the problems
|-> problems
|	|-> eigenvalueproblems
|	|	|-> eigenvalue problems
|	|-> polynomialsystems
|		|-> systems of multivariate polynomial equations
|-> scripts
| 	|-> papers
|   |   |-> scripts to recreate results in papers
|   |-> applications
|       |-> scripts to generate problems (e.g., arma.m or lsrwalsh.m)
|       |-> a list of multiparameter eigenvalue applications
|-> Solutions
|	|-> solutions of problems solved via MacaulayLab
|-> database.yaml
|-> bibids.bib
|-> readme.md
  • readproblem.m: read problem.csv (there is also an option to load information from the database)

  • writeproblem.m: write problem.csv without consulting database.yaml

  • createreport.m: export the problem in LaTeX format

  • linearize.m: linearize multiparameter eigenvalue problems

  • problem.csv: file that contains the entries and support of the problem

  • arma.m: script that creates an MEP to identify an autoregressive moving-average model

  • lagauw2023h2.m: script that corresponds to Sibren's paper

  • dreesen1.sol: solutions obtained via MacaulayLab when solving dreesen1.csv

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