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  • 1970-1974  (4)
  • 1
    Electronic Resource
    Electronic Resource
    On the fill-in when sparse vectors are orthonormalized (1972)
    Springer
    Computing 9 (1972), S. 53-56 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wenn die revidierteGram-Schmidt-Methode in der Orthonormalisierung einer gegebenen Menge magerer Vektoren angewendet wird, so kann die lokale Füllung von Nicht-Null-Elementen bei jedem Schrift leicht bestimmt werden. Dies ermöglicht eine Neuordnung der verbleibenden Vektoren bei jedem Schrift, die dann eine möglichst kleine lokale Füllung ergibt. Es wird hier ferner gezeigt, daß eine ähnliche Methode auch im Fall derHouseholder-Triangulisierungsmethode verwendet werden kann.
    Notes: Summary If the RevisedGram-Schmidt method is used for orthonormalizing a given set of sparse vectors, then it is shown that the local fill-in of non-zero elements at each stage can be easily determined. This makes it possible to rearrange the remaining vectors at each stage such that the local fill-in is minimized. It is also shown that a similar method can also be used in the case of theHouseholder triangularization method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02236376
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the optimal choice of pivots for the Gaussian elimination (1972)
    Springer
    Computing 9 (1972), S. 245-250 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung In dieser Anmerkung wird eine Kostenkriteriumsfunktion beschrieben, für die optimale Pivotwahl bei jeder Stufe der Gauß-Elimination. Sowohl die Füllung wie auch die Anzahl der Rechenoperationen werden dabei berücksichtigt. Überdies werden andere bekannte Kriteriumsfunktionen vonTewarson [4] undMarkowitz [6] besprochen und mit der neuen verglichen.
    Notes: Summary In this note, a cost criterion function for choosing the optimal pivot at each stage of the Gaussian elimination method is described. It takes into consideration both the fill-in and the number of arithmetical operations. Other known criterion functions byTewarson [4] andMarkowitz [6] are also discussed and compared with the new criterion function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02246733
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A threshold stress intensity concept for environmental cracking (1973)
    Springer
    International journal of fracture 9 (1973), S. 369-371 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00049226
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A constitutive equation for composite systems (1973)
    New York : Wiley-Blackwell
    Journal of Polymer Science: Polymer Physics Edition 11 (1973), S. 2013-2026 
    Details
    ISSN: 0098-1273
    Keywords: Physics ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: By the differential operator representation of constitutive equations for linearly viscoelastic materials, general theoretical expressions are developed for the physical parameters of a composite system in relation to those of the constituents. The interfacial tension between the dispersed phase and continuous matrix is included in the derivation. The results show that it has effect only on the shear parameter but not on the bulk parameter of the composite system. The general expressions developed in this article represent a unified theory for composite systems. The results are shown to reduce to many special cases obtained by other investigators.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pol.1973.180111011
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    Paper (German National Licenses)
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