Convex analysis and monotone operator theory in hilbert spaces. ([2017])

• Record Type: Book
• Further Information: Note: Heinz H. Bauschke and Patrick L. Combettes.
• Other Names: Bauschke, Heinz H; Combettes, Patrick L
• Contents: Background -- Hilbert Spaces -- Convex sets -- Convexity and Nonexpansiveness -- Fejér Monotonicity and Fixed Point Iterations -- Convex Cones and Generalized Interiors -- Support Functions and Polar Sets -- Convex Functions -- Lower Semicontinuous Convex Functions -- Convex Functions: Variants -- Convex Variational Problems -- Infimal Convolution -- Conjugation -- Further Conjugation Results -- Fenchel-Rockafellar Duality -- Subdifferentiability -- Differentiability of Convex Functions -- Further Differentiability Results -- Duality in Convex Optimization -- Monotone Operators -- Finer Properties of Monotone Operators -- Stronger Notions of Monotonicity -- Resolvents of Monotone Operators -- Sums of Monotone Operators.-Zeros of Sums of Monotone Operators -- Fermat's Rule in Convex Optimization -- Proximal Minimization Projection Operators -- Best Approximation Algorithms -- Bibliographical Pointers -- Symbols and Notation -- References.
• Edition: 2nd ed
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 515.733; Mathematics; Hilbert space; Monotone operators; Mathematical optimization; Algorithms; Visualization; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Hilbert space; Monotone operators; Computers -- Programming -- Algorithms; Mathematics -- Graphic Methods; Numerical analysis; Combinatorics & graph theory; Calculus of variations; Electronic books
• Languages: English
• ISBNs: 9783319483115; 3319483110
• Related ISBNs: 9783319483108
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.