Charles L. Byrne

Applied Iterative Methods

• Broschiertes Buch

Produktbeschreibung

Applied Iterative Methods is a self-contained treatise suitable as both a reference and a graduate-level textbook in the area of iterative algorithms. It is the first book to combine subjects such as optimization, convex analysis, and approximation theory and organize them around a detailed and mathematically sound treatment of iterative algorithms. Such algorithms are used in solving problems in a diverse area of applications, most notably in medical imaging such as emission and transmission tomography and magnetic-resonance imaging, as well as in intensity-modulated radiation therapy. Other applications, which lie outside of medicine, are remote sensing and hyperspectral imaging. This book details a great number of different iterative algorithms that are universally applicable.

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Produktdetails

• Verlag: A K Peters/CRC Press
• Seitenzahl: 398
• Erscheinungstermin: 30. September 2021
• Englisch
• Abmessung: 229mm x 152mm x 21mm
• Gewicht: 575g
• ISBN-13: 9780367446161
• ISBN-10: 0367446162
• Artikelnr.: 62570374

Autorenporträt

Byrne \, Charles L.

Inhaltsangabe

Part I: Preliminaries 1. Introduction 2. Background 3. BasicConcepts 4.
Metric Spaces and Norms Part II: Overview 5. Operators 6. Problems and
Algorithms Part III: Operators 7. Averaged and Paracontractive Operators
Part IV: Algorithms 8. The Algebraic Reconstruction Technique 9.
Simultaneous and Block-Iterative ART 10. Jacobi and Gauss-Seidel Methods
11. Conjugate-Direction Methods in Optimization Part V: Positivity in
Linear Systems 12. The Multiplicative ART (MART) 13. Rescaled
Block-Iterative (RBI) Methods Part VI: Stability 14. Sensitivity to Noise
15. Feedback in Block-Iterative Reconstruction Part VII: Optimization 16.
Iterative Optimization 17. Convex Sets and Convex Functions 18. Generalized
Projections onto Convex Sets 19. The Split Feasibility Problem 20.
Nonsmooth Optimization 21. An Interior-Point Optimization Method 22. Linear
and Convex Programming 23. Systems of Linear Inequalities 24. Constrained
Iteration Methods 25. Fourier Transform Estimation Part VIII: Applications
26. Tomography 27. Intensity-Modulated Radiation Therapy 28.
Magnetic-Resonance Imaging 29. Hyperspectral Imaging 30. Planewave
Propagation 31. Inverse Problems and the Laplace Transform 32. Detection
and Classification