Mathematik Für Informatiker 2

Name: Mathematik Für Informatiker 2
Brand: Vieweg+teubner Verlag
SKU: 9783519022787
Price: 4772.0 INR
Availability: InStock

by Karl-Heinz Kiyek , Friedrich Schwarz

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ISBN13: 9783519022787
Binding: Paperback
Subject: N/A
Publisher: Vieweg+teubner Verlag
Publisher Imprint: Vieweg+teubner Verlag
Publication Date: March 1, 1991
Pages: 463
Original Price: USD 44.99
Language: German
Edition: 1991
Item Weight: 663 grams
BISAC Subject(s): Engineering (General)

About The Book

Hiermit legen wir den abschlie enden Band unserer "Mathematik für Informati- ker" vor. Auch hier haben wir uns bemüht - soweit dies bei dem diesmal anspruchs- volleren Stoff möglich ist - den algorithmischen und konstruktiven Aspekt in den Vordergrund zu stellen. Die Stoffauswahl wurde u. a. dadurch bestimmt, da auch auf die Bedürfnisse der Informatiker mit technischen Nebenfächern eingegangen wurde - so ist ein ausführliches Kapitel über Funktionen mehrerer Veränderlicher entstanden, welches für den "Nurinformatiker" erst in zweiter Linie interessant ist. Zum Inhalt: In Kapitel VII werden numerische Fragen aus der Linearen Algebra und der Analysis behandelt. Nach einer Einführung in die Gleitpunktarithmetik - die nur bei der numerischen Behandlung von linearen Gleichungssystemen in Kapitel VII, 2 und der Fehlerabschätzung bei der Berechnung von Eigenwerten von Tridiagonalmatrizen in Kapitel VIII, 5 benötigt wird - werden in 2 Feh- lerabschätzungen für die Lösung von linearen Gleichungssystemen bei Spaltenpivot- suche und Totalpivotsuche hergeleitet. Unitäre und orthogonale Matrizen werden in 3 eingeführt; neben dem numerisch ungünstigen Orthogonalisierungsverfahren nach E. Schmidt wird in 4 die QR-Zerlegung einer Matrix nach Householder be- handelt, und es wird auf die Anwendung dieser Zerlegung beim Lösen linearer Gleichungssysteme hingewiesen. Weitere Methoden zur Lösung von linearen Glei- chungssystemen werden in Kapitel IX, 3 behandelt, nämlich das Gesamtschrittver- fahren [ J acobi-Verfahren] und das Einzelschrittverfahren [ Gau -Seidel-Verfahren]. Zum Verständnis der ersten 4 Paragraphen von Kapitel VII reichen die Kenntnisse aus Kapitel II aus.

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