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  • 1
    Electronic Resource
    Electronic Resource
    Quasi-Newton methods with factorization scaling for solving sparse nonlinear systems of equations (1987)
    Springer
    Computing 38 (1987), S. 133-141 
    Details
    ISSN: 1436-5057
    Keywords: 65H10 ; Nonlinear systems ; Quasi-Newton methods ; sparse matrices ; factorization of matrices
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wir stellen in dieser Arbeit ein Verfahren vom Quasi-Newton-Typ für große, dünnbesetzte nichtlineare Gleichungssysteme vor, das die QR-Faktorisierung der näherungsweisen Jacobi-Matrix benutzt. Das Verfahren gehört zu einer allgemeinen Klasse von Algorithmen, für die wir die lokale Konvergenz beweisen. Einige numerische Experimente deuten auf die Verläßlichkeit des neuen Algorithmus hin.
    Notes: Abstract In this paper we present a Quasi-Newton type method, which applies to large and sparse nonlinear systems of equations, and uses the Q-R factorization of the approximate Jacobians. This method belongs to a more general class of algorithms for which we prove a local convergence theorem. Some numerical experiments seem to confirm that the new algorithm is reliable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02240178
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  • 2
    Electronic Resource
    Electronic Resource
    Effect of inoculation with Azotobacter chroococcum on nitrogenase activity of Zea mays roots grown in agricultural soils under aseptic and non-sterile conditions (1988)
    Springer
    Biology and fertility of soils 6 (1988), S. 170-173 
    Details
    ISSN: 1432-0789
    Keywords: A. chroococcum ; Seed inoculation ; Zea mays ; Acetylene reduction assay ; Yield response ; Associative N2 fixation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Geosciences , Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Inoculated and non-inoculated seedlings of Zea mays were grown in agricultural soils under aseptic and non-sterile conditions. Acetylene reduction activity and microbial counts were determined after 7 and 30 days of growth. Irrespective of the soil type Azotobacter spp. were commonly isolated under maize cultivation. Inoculation of agricultural soils with a suspension of A. chroococcum led to an increase in Azotobacter numbers, although this effect diminished with time. Nitrogenase activity was detected on maize roots and increased in response to the inoculation with A. chroococcum, showing that this associative growth could be of primary importance for the plant. The results of assays for acetylene reduction activity indicated that the nitrogenase activity was associated only with the root systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00257669
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  • 3
    Electronic Resource
    Electronic Resource
    Grain yield response of Zea mays (hybrid AE 703) to Azotobacter chroococcum H23 (1988)
    Springer
    Biology and fertility of soils 6 (1988), S. 352-353 
    Details
    ISSN: 1432-0789
    Keywords: A. chroococcum ; Zea mays ; Yield response ; Fertilizer N ; Inoculation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Geosciences , Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Field experiments were conducted during 1985 and 1986 to examine the effect of Azotobacter chroococcum on the grain yield of maize. Application of 40 kg N ha−1 plus A. chroococcum caused a significant increase in maize yield. Azotobacter inoculation was more efficient at lower doses (40 kg N ha−1) than at high doses (80 kg N ha−1) of urea.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00261026
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  • 4
    Electronic Resource
    Electronic Resource
    Solution of nonlinear systems of equations by an optimal projection method (1986)
    Springer
    Computing 37 (1986), S. 59-70 
    Details
    ISSN: 1436-5057
    Keywords: 65H10 ; Nonlinear equations ; projection methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wir betrachten eine Block-Version des Nichtlinearen Projektions-Verfahrens mit einer optimalen Kontrolle. Dieses Verfahren wird zur Lösung von Gleichungssystemen verwendet, bei denen die Gleichungsanzahl kleiner oder gleich der Anzahl der Unbekannten ist. Ein lokaler Konvergenzsatz wird bewiesen. Ein numerischer Vergleich mit dem zyklischen Nichtlinearen Projektions-Verfahren wird angestellt.
    Notes: Abstract We consider a block version of the Nonlinear Projection Method under an optimal control. This method is applied to the solution of systems of equations where the number of equation is less than or equal to the number of unknowns. A local convergence theorem is proved. We present a numerical comparison with the cyclic Nonlinear Projection Method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02252734
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  • 5
    Electronic Resource
    Electronic Resource
    Root exudates ofZea mays and production of auxins, gibberellins and cytokinins byAzotobacter chroococcum (1988)
    Springer
    Plant and soil 110 (1988), S. 149-152 
    Details
    ISSN: 1573-5036
    Keywords: Azotobacter chroococcum ; phytohormones ; root exudates ; Zea mays
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Growth ofAzotobacter chroococcum in N-free medium was stimulated in the presence of maize root exudates. Our results show that the production of auxins, gibberellins and cytokinins were significantly stimulated when maize root exudates from 7 to 30 d old plants were added to the culture media.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02143553
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