Real algebraic geometry and optimization / Thorsten Theobald.
| Author/creator | Theobald, Thorsten, 1971- author. |
| Format | Book |
| Publication | Providence, Rhode Island : American Mathematical Society, [2024] |
| Description | pages cm. |
| Subjects |
| Series | Graduate studies in mathematics, 1065-7339 ; volume 241 Graduate studies in mathematics ; volume 241. ^A347883 |
| Contents | Introduction and overview -- Univariate real polynomials -- From polyhedra to semialgebraic sets -- The Tarski-Seidenberg principle and elimination of quantifiers -- Cylindrical algebraic decomposition -- Linear, semidefinite and conic optimization -- Positive polynomials -- Polynomial optimization -- Spectrahedra -- Stable and hyperbolic polynomials -- Relative entropy methods in semialgebraic optimization. |
| Abstract | "The purpose of this book is to provide a comprehensive access to interesting and important ideas in the interplay of real algebraic geometry and optimization. Until the beginning of the 21st century, these disciplines were usually taught separately from each other. The developments since then have exhibited the fruitful connections, mutual dependencies and computational implications"--Introduction. |
| Bibliography note | Includes bibliographical references and index. |
| LCCN | 2023052870 |
| ISBN | 9781470474317 (hardcover) |
| ISBN | 147047431X |
| ISBN | 9781470476366 (paperback) |
| ISBN | 1470476363 |
| ISBN | (ebook) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA564 .T43 2024 | ✔ Available | Place Hold |