Iterative Solution of Large Sparse Systems of Equations

• Κύριος συγγραφέας: Hackbusch, Wolfgang (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 2nd ed. 2016.
• Σειρά: Applied Mathematical Sciences, 95
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Partial differential equations.; Numerical analysis.; Numerical Analysis.; Linear and Multilinear Algebras, Matrix Theory.; Partial Differential Equations.

In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other liter...

Πίνακας περιεχομένων:

• Part I: Linear Iterations
• Introduction
• Iterative Methods
• Classical Linear Iterations in the Positive Definite Case
• Analysis of Classical Iterations Under Special Structural Conditions
• Algebra of Linear Iterations
• Analysis of Positive Definite Iterations
• Generation of Iterations. Part II: Semi-Iterations and Krylov Methods
• Semi-Iterative Methods
• Gradient Methods
• Conjugate Gradient Methods and Generalizations
• Part III: Special Iterations
• Multigrid Iterations
• Domain Decomposition and Subspace Methods
• H-LU Iteration
• Tensor-based Methods
• Appendices.