## A Survey of Matrix Theory and Matrix Inequalities, Volume 14Written for advanced undergraduate students, this highly regarded book presents an enormous amount of information in a concise and accessible format. Beginning with the assumption that the reader has never seen a matrix before, the authors go on to provide a survey of a substantial part of the field, including many areas of modern research interest. |

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### Contents

Survey of Matrix Theory | 1 |

Numbers Associated with Matrices | 9 |

Linear Equations and Canonical Forms | 30 |

Special Classes of Matrices Commutativity | 59 |

Congruence | 81 |

Convexity and Matrices | 93 |

Convex Functions | 101 |

Classical Inequalities | 105 |

Convex Functions and Matrix Inequalities | 112 |

Nonnegative Matrices | 121 |

Localization of Characteristic Roots | 139 |

Regions Containing Characteristic Roots of a General Matrix | 145 |

Characteristic Roots of Special Types of Matrices | 152 |

The Spread of a Matrix | 167 |

The Field of Values of a Matrix | 168 |

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A Survey of Matrix Theory and Matrix Inequalities, Volume 14 Marvin Marcus,Henryk Minc Limited preview - 1992 |