The Schur Complement and Its Applications

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Zhang, Fuzhen (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2005.
• Σειρά: Numerical Methods and Algorithms, 4
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Operator theory.; Numerical analysis.; Statistics.; Linear and Multilinear Algebras, Matrix Theory.; Numerical Analysis.; Statistical Theory and Methods.; Operator Theory.

The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant result...

Πίνακας περιεχομένων:

• Historical Introduction: Issai Schur and the Early Development of the Schur Complement
• Basic Properties of the Schur Complement
• Eigenvalue and Singular Value Inequalities of Schur Complements
• Block Matrix Techniques
• Closure Properties
• Schur Complements and Matrix Inequalities: Operator-Theoretic Approach
• Schur complements in statistics and probability
• Schur Complements and Applications in Numerical Analysis.