The Theory and Applications of Iteration Methods

af

indgår i serie Systems Engineering Series


The Theory and Applications of Iteration Methods
  • Leveringstid 2-3 uger
  • Forventet levering 12-03-2020
Format:
Bog, hardback
Udgivelsesdato:
15-09-1993
Sprog:
Engelsk
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. Each chapter presents new theoretical results and important applications in engineering, dynamic economic systems, and input-output systems. At the end of each chapter, case studies and numerical examples are presented from different fields of engineering and economics. Following an outline of general iteration schemes, the authors extend the discrete time-scale Liapunov theory to time-dependent, higher order, nonlinear difference equations. The monotone convergence to the solution is examined in and comparison theorems are proven . Results generalize well-known classical theorems, such as the contraction mapping principle, the lemma of Kantorovich, the famous Gronwall lemma, and the stability theorem of Uzawa. The book explores conditions for the convergence of special single- and two-step methods such as Newton's method, modified Newton's method, and Newton-like methods generated by point-to-point mappings in a Banach space setting. Conditions are examined for monotone convergence of Newton's methods and their variants. Students and professionals in engineering, the physical sciences, mathematics, and economics will benefit from the book's detailed examples, step-by-step explanations, and effective organization.

Vis mereVis mindre

Udgivelsesdato:
15-09-1993
ISBN13:
9780849380143
Vægt:
726 g
Dybde:
24 mm
Bredde:
159 mm
Højde:
235 mm
Nummer i serien:
4
Nummer i serien:
4
Format:
Hardback
Forfattere
Bibliotekernes beskrivelse Focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. This book explores conditions for the convergence of special single- and two-step methods such as Newton's method, modified Newton's method, and Newton-like methods generated by point-to-point mappings in a Banach space setting. 1697 equations; 3 Tables, black and white Contains 4 Hardbacks

Vis mereVis mindre

Vis mereVis mindre

Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

Velkommen til Saxo - din danske boghandel!

Hos os kan du handle som Gæst, Saxo-bruger eller Saxo Premium-medlem. Du bestemmer selv, og vores kundeservice sidder altid klar med hjælp.

Om medlemspriser hos Saxo

Hvis du køber til medlemspris, bliver du automatisk medlem og får del i de mange fede fordele. De første 30 dage er gratis for nye brugere, og derefter koster det kun 99,-/md. Medlemskabet fornyes automatisk, og du kan altid opsige det. Læs mere om fordelene ved Saxo Premium her.

Machine Name: SAXO032