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  • Electronic Resource  (45)
  • 1980-1984  (26)
  • 1970-1974  (14)
  • 1950-1954  (4)
  • 1890-1899  (1)
  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Computing 5 (1970), S. 71-81 
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Summary Iteration methods are given for the solution of nonlinear equations in normed spaces requiring functionvalues and first-order divided differences. The latter may be replaced by derivations. The linear equations of each iteration step are solved only approximatively but this does not diminish the order of convergence.
    Notes: Zusammenfassung Zur Lösung von nichtlinearen Gleichungen in normierten Räumen werden Iterationsverfahren angegeben, die Funktionswerte und Steigungen erster Ordnung benutzen. Es ist möglich, die Steigungen durch Ableitungen zu ersetzen. Die linearen Gleichungen, die in jedem Iterationsschritt auftreten, werden nur näherungsweise gelöst. Dabei ist es wichtig, daß hierdurch keine Verringerung der Konvergenzgeschwindigkeit eintritt.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    Springer
    Computing 8 (1971), S. 208-215 
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Summary The iterative methodF (x n )+δF (x n ,x n−1 ) (y n −x n )=0,F (x n )+δF (y n ,x n ) (x n+1 −x n )=0 generating sequences (x n ) and (y n ) is considered in partially ordered spaces. Under certain conditions it is shown, that a zerox * of the operatorF is monotonously enclosed in the sensey n ≦y n+1≦x *≦x n+1≦x n and that (x n ) converges tox * with the speed 1 + ≈ 2,4.
    Notes: Zusammenfassung Es wird gezeigt, daß das IterationsverfahrenF (x n )+δF (x n ,x n−1 ) (y n −x n )=0,F (x n )+δF (y n ,x n ) (x n+1 −x n )=0 unter bestimmten Voraussetzungen eine Nullstellex * des OperatorsF monoton einschließt,y n ≦y n+1≦x *≦x n+1≦x n , und daß die Folge (x n ) mit der Geschwindigkeit 1 + ≈ 2,4 gegenx * konvergiert.
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Computing 29 (1982), S. 73-81 
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Die Bestimmung der R-Ordnung τ von Folgen {x n, i ∼, die über ein System (3) von Ungleichungen miteinander verkoppelt sind, wird wie in der vorangegangenen Arbeit [3] auf die nichtnegative Lösbarkeit des Systems (4) von linearen Ungleichungen zurückgeführt. Weiterhin wird gezeigt, daß die beste R-Ordnung τ, welche sich aus (3) herleiten läßt, gleich dem Spektralradius einer bestimmten Matrix ist, welche aus in (3) auftretenden Exponenten gebildet wird.
    Notes: Abstract As in the preceding paper [3], the question whether some of the sequences {x n, i } coupled by a system (3) of inequalities converge at least with a certain R-order τ is reduced to the nonnegative solvability of the system (4) of linear inequalities. Further, the optimal R-order τ implied by (3) is characterized as the spectral radius of a certain matrix composed of exponents appearing in (3).
    Type of Medium: Electronic Resource
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  • 14
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 21 (1982), S. 505-507 
    ISSN: 1435-1528
    Keywords: Polystyrene solution ; viscosity ; pressure influence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 15
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 36 (1980), S. 1353-1354 
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary An alkaloid-blocked mutant ofClaviceps purpurea was isolated from a strain which produces ergotoxine alkaloids. The mutant accumulates chanoclavine-I and the corresponding aldehyde. It lacks the ability to form tetracyclic ergolines.
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 36 (1980), S. 222-223 
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary MaleChoristoneura fumiferana are disrupted by atmospherically permeating any blend of the 2 sex pheromone components. The mechanisms of disruption and attraction are different and appear to result from decisions in the brain based on chemical and physical characteristics of the air and pheromone plumes surrounding a pheromone source.
    Type of Medium: Electronic Resource
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  • 17
    Electronic Resource
    Electronic Resource
    Springer
    Journal of molecular medicine 61 (1983), S. 1217-1231 
    ISSN: 1432-1440
    Keywords: RNA tumor viruses ; Human leukemia ; Viral carcinogenesis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The detection and characterization of oncogenes via RNA tumor viruses (or retroviruses) and the recognition of their location at breakpoints of chromosomal translocations which are frequently found in certain human neoplasms has promoted present understanding of molecular mechanisms underlying carcinogenesis. Oncogenes are cellular genes which can be transduced by RNA tumorviruses and induce malignant transformation under experimental conditions in vivo and in vitro. A role of retroviruses in human leukemogenesis is suggested by epidemiological observations and by the isolation of such viruses from several human T-cell leukemias and lymphomas (human T-cell leukemia/lymphoma virus or HTLV) as well as by biochemical association of retroviral markers with human leukemias. A role of HTLV has been suggested also in a human immune deficiency syndrome (AIDS). In view of the well known role of many factors in carcinogenesis the concept of carcinogenesis as a multistep process as well as the concept of cocarcinogenesis and the role of cofactors other than viruses, such as radiation and chemicals, aging, hormones, graft vs host reaction, environmental factors etc., will have to be carefully considered.
    Type of Medium: Electronic Resource
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  • 18
    Electronic Resource
    Electronic Resource
    Springer
    Computing 6 (1970), S. 318-329 
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Summary We consider Regula-falsimethods applied to systems of equations in order to obtain sequences of upper and lower bounds for the solution of the system. It is shown that the sequences converge monotonously and the speed of convergence is better than linear.
    Notes: Zusammenfassung Es werden Verfahren vom Typ der Regula falsi für Gleichungssysteme betrachtet und mit ihrer Hilfe Folgen von unteren und oberen Schranken für eine Lösung des Systems gewonnen. Es wird gezeigt, daß die Folgen monoton konvergieren und ihre Konvergenzgeschwindigkeit überlinear ist.
    Type of Medium: Electronic Resource
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  • 19
    Electronic Resource
    Electronic Resource
    Springer
    Computing 30 (1983), S. 157-169 
    ISSN: 1436-5057
    Keywords: 65H10 ; 15A48 ; Iterative parallel processes ; best individualR-orders ; ordered positive decomposition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Für konvergente Folgen {x n,1 },...,{x n,s }, welche über ein System (2) von Ungleichungen miteinander verkoppelt sind, werden die besten individuellenR-Ordnungen τ1,...,τ s bestimmt. Dazu wird gezeigt, daß diese gleich den Spektralradien von bestimmten Matrizen sind, welche aus Exponenten in (2) gebildet werden.
    Notes: Abstract For convergent sequences {x n,1 },...{x n,s } coupled by a system (2) of inequalities the optimal individualR-orders τ1,...,τ s are determined as the spectral radii of certain matrices composed of exponents appearing in (2).
    Type of Medium: Electronic Resource
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  • 20
    Electronic Resource
    Electronic Resource
    Springer
    Computing 32 (1984), S. 1-11 
    ISSN: 1436-5057
    Keywords: 65 H ; 65 J ; Nonlinear equation ; monotonous enclosure ; perturbation ; Newton- ; Regula falsi- ; Jacobi-Newton-type methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es werden nichtlineare Gleichungen betrachtet, die in gewissen Eingangsparametern störungsbehaftet sind. Durch eine Klasse monoton einschließender Verfahren werden Folgen von Intervallen konstruiert, die für jeden Wert der Störungsparameter mindestens eine Nullstelle der Aufgabe enthalten. Für endlich-dimensionale Räume werden u. a. Verfahrensrealisierungen vom Newton-, Regula falsi- und Jacobi-Newton-Typ angegeben.
    Notes: Abstract Nonlinear equations are considered, where some input parameters are subjected to errors. By a class of monotone enclosing methods sequences of intervals are constructed, containing for each value of the perturbation parameter at least one zero of the problem. In finite dimensional spaces concrete realizations are given, e. g. of Newton-, Regula falsi- and Jacobi-Newton-type.
    Type of Medium: Electronic Resource
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