Saddle-point problems and their iterative solution. (2018)

• Record Type: Book
• Further Information: Note: Miroslav Rozložník.
• Authors: Rozložník, Miroslav
• Contents: Introductory remarks. Formulation of saddle-point problem -- Applications leading to saddle-point problems. Augmented systems in least squares problems. Saddle point problems from the discretization of partial differential equations with constraints. Kuhn-Karush-Tucker (KKT) systems in interior-point methods -- Properties of saddle point matrices. The inverse of a saddle-point matrix. Spectral properties of saddle-point matrices -- Solution approaches for saddle-point problems. Schur complement reduction. Null-space projection method -- Direct methods for symmetric indefinite systems. Direct solution of saddle-point problems -- AIterative solution of saddle-point problems. Stationary iteration methods. Krylov subspace methods. Preconditioned Krylov subspace methods -- Saddle-point preconditioners. Block diagonal and triangular preconditioners. Indefinite preconditioning -- Implementation and numerical behavior of saddle-point solvers -- Case study: Polluted undeground water flow modelling in porous media.
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2018
• Extent: 1 online resource (xiv, 136 pages), illustrations (some color)
• Subjects: 518; Method of steepest descent (Numerical analysis); Method of steepest descent (Numerical analysis); Electronic books
• Languages: English
• ISBNs: 9783030014315; 3030014312
• Related ISBNs: 9783030014308
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed December 4, 2018).
• 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.