Real algebraic geometry and optimization / Thorsten Theobald.

Format:

Book

Author/Creator:

Theobald, Thorsten, 1971- author.

Series:

Graduate Studies in Mathematics, v. 241

Language:

English

Subjects (All):

Geometry, Algebraic.

Mathematical optimization.

Polynomials.

Physical Description:

1 online resource (pages cm)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2024]

System Details:

Mode of access : World Wide Web

Summary:

"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.

Contents:

Univariate real polynomials From polyhedra to semialgebraic sets The Tarski-Sidenberg 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 optimzation Background material

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2024

Description based on print version record.

Other Format:

Print version: Theobald, Thorsten, 1971- Real algebraic geometry and optimization /

ISBN:

9781470476359 (online)

Access Restriction:

Restricted for use by site license.