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963
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Matrizen
Bestimmung höherer Eigenwerte
other
Author(s):
Rudolf Zurmühl
Publication date
(Print):
1950
Publisher:
Springer Berlin Heidelberg
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Author and book information
Book Chapter
Publication date (Print):
1950
Pages
: 305-328
DOI:
10.1007/978-3-642-53289-4_26
SO-VID:
50cc4f7a-60af-4716-afab-4cfb07bd3f5f
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Book chapters
pp. 1
Einleitung
pp. 5
Grundbegriffe und einfache Rechenregeln
pp. 13
Matrizen und Vektoren
pp. 18
Matrizenmultiplikation
pp. 32
Kehrmatrix und Matrizendivision
pp. 40
Lineare Transformationen
pp. 50
Orthogonale Transformation
pp. 58
Determinanten
pp. 66
Lineare Abhängigkeit und Rang
pp. 74
Theorie der linearen Gleichungen
pp. 89
Äquivalenz und Rangbestimmung
pp. 99
Bilineare und quadratische Formen
pp. 111
Koordinatentransformationen
pp. 120
Charakteristische Zahlen und Eigenvektoren
pp. 134
Symmetrische Matrizen
pp. 152
Allgemeinere Eigenwertprobleme
pp. 167
Komplexe Matrizen
pp. 179
Die Minimumgleichung
pp. 186
Elementarteiler, Klassifikation
pp. 198
Die Normalform
pp. 211
Hauptvektoren. Transformation auf Normalform
pp. 227
Matrizenfunktionen und Matrizengleichungen
pp. 248
Auflösung linearer Gleichungssysteme durch Matrizenmultiplikation
pp. 270
Iterative Behandlung linearer Gleichungssysteme
pp. 285
Iterative Bestimmung der größten charakteristischen Zahl
pp. 305
Bestimmung höherer Eigenwerte
pp. 329
Matrizen in der Elektrotechnik
pp. 348
Matrizen in der Schwingungstechnik
pp. 365
Systeme linearer Differentialgleichungen
pp. 377
Differentialmatrizen und nichtlineare Transformationen
pp. 392
Tensoren
pp. 405
Matrizen in der Ausgleichsrechnung
pp. 428
Erratum to: Matrizen und Vektoren
pp. 428
Erratum to: Theorie der linearen Gleichungen
pp. 428
Erratum to: Bilineare und quadratische Formen
pp. 428
Erratum to: Koordinatentransformationen
pp. 428
Erratum to: Komplexe Matrizen
pp. 428
Erratum to: Die Minimumgleichung
pp. 428
Erratum to: Tensoren
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