## QROOT

swMATH ID: | 7929 |

Software Authors: | M.L. Chaudhry |

Description: | QROOT is a root-finding software package developed by M.L. Chaudhry, Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada, K7K 5L0. The package finds real or complex roots of characteristic equations which may be of polynomial (with or without complex coefficients) or transcendental type. Although the user-friendly QROOT package was originally designed to find roots of equations that occur in queueing theory, it is capable of finding roots of equations that may occur in several other areas such as mathematics, engineering, and econometrics. In fact, it has been tested on several examples in non-queueing fields. QROOT finds roots inside and outside a circle of a given radius, even when there is a large number of them. Roots that are outside may be brought inside the unit circle using a suitable transformation. The details on how the package works, worked-out examples, as well as a set of problems are available in the user’s manual. The main part of the manual explains with examples how to use the user-friendly package and what the error messages mean. QROOT is a very robust, fast and accurate method of finding roots. Since it bypasses both deflation and suppression, it works where all existing methods fail. It has been used to find roots even up to 5000. For some interesting examples, see the attached pages. Also, the attached examples show how it compares with MAPLE and MATHEMETICA. |

Homepage: | ftp://frcatel.fri.uniza.sk/pub/soft/math/matprog/doc/qroot.html |

Related Software: | MCQueue; QPACK |

Cited in: | 16 Publications |

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### Cited by 16 Authors

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### Cited in 9 Serials

### Cited in 5 Fields

14 | Probability theory and stochastic processes (60-XX) |

14 | Operations research, mathematical programming (90-XX) |

2 | Computer science (68-XX) |

1 | Statistics (62-XX) |

1 | Numerical analysis (65-XX) |