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  • 1
    Electronic Resource
    Electronic Resource
    Multilevel algorithms for ill-posed problems (1992)
    Springer
    Numerische Mathematik 61 (1992), S. 311-334 
    Details
    ISSN: 0945-3245
    Keywords: 65R20
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In this paper new multilevel algorithms are proposed for the numerical solution of first kind operator equations. Convergence estimates are established for multilevel algorithms applied to Tikhonov type regularization methods. Our theory relates the convergence rate of these algorithms to the minimal eigenvalue of the discrete version of the operator and the regularization parameter. The algorithms and analysis are presented in an abstract setting that can be applied to first kind integral equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01385512
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice (1988)
    Springer
    Computing 40 (1988), S. 91-109 
    Details
    ISSN: 1436-5057
    Keywords: 65R20 ; 45L10 ; Integral equations ; Tikhonov regularization ; parameter selection method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung In dieser Arbeit betrachten wir eine besondere Variante endlich-dimensionaler Tikhonov-Regularisierung schlechtgestellter Operatorgleichungen. Konvergenzraten werden nachgewiesen und eine a-posteriori Parameterwahl wird hergeleitet, die optimale Konvergenzraten bezüglich des Datenfehlers und der endlich-dimensionalen Approximation liefert, ohne Information über die exakte Lösung zu benötigen. Schließlich präsentieren wir auch einige numerische Beispiele, bei denen lineare Splinefunktionen verwendet werden, die die theoretischen Ergebnisse bestätigen.
    Notes: Abstract In this paper we consider a particular variant of finite-dimensional Tikhonov regularization for ill-posed operator equations. Convergence rates are established and an a-posteriori parameter choice method is derived that leads to optimal convergence rates with respect to data errors and with respect to the finite-dimensional subspace, without using any information about the exact solution. Finally, using linear splines we present several numerical examples that confirm the theoretical results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02247939
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A valine-resistant mutant of Arabidopsis thaliana displays an acetolactate synthase with altered feedback control (1994)
    Springer
    Planta 192 (1994), S. 249-255 
    Details
    ISSN: 1432-2048
    Keywords: Acetolactate synthase ; Amino acid (branched chain) ; Arabidopsis ; Feedback regulation ; Mutant ; Valine resistance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract A valine-resistant mutant line, VAL-2, of Arabidopsis thaliana (L.) Heynh. was identified by screening M 2 populations of ethylmethane-sulfonate-mutagenized seeds. The resistance was found to be due to a single, dominant, nuclear gene mutation. Assay of acetolactate synthase (ALS) indicated that the valine resistance in this mutant is caused by decreased sensitivity of ALS to the branched-chain amino acids, valine, leucine and isoleucine. A two fold decrease in apparent K m value for pyruvate of the mutant ALS enzyme was detected compared with that of the wild type. The sensitivity of the ALS enzyme to sulfonylurea, imidazolinone and triazolopyrimidine herbicides was not altered in the mutant. At the plant growth level the mutant was also resistant to valine plus leucine, but was sensitive to leucine or isoleucine alone. The mutant gene, var1, maps, or is very closely linked, to CSR1, the gene encoding acetolactate synthase in Arabidopsis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00194459
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A valine-resistant mutant ofArabidopsis thaliana displays an acetolactate synthase with altered feedback control (1994)
    Springer
    Planta 192 (1994), S. 249-255 
    Details
    ISSN: 1432-2048
    Keywords: Acetolactate synthase ; Amino acid (branched chain) ; Arabidopsis ; Feedback regulation ; Mutant ; Valine resistance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract A valine-resistant mutant line, VAL-2, ofArabidopsis thaliana (L.) Heynh. was identified by screening M 2 populations of ethylmethane-sulfonate-mutagenized seeds. The resistance was found to be due to a single, dominant, nuclear gene mutation. Assay of acetolactate synthase (ALS) indicated that the valine resistance in this mutant is caused by decreased sensitivity of ALS to the branched-chain amino acids, valine, leucine andisoleucine. A two fold decrease in apparentK m value for pyruvate of the mutant ALS enzyme was detected compared with that of the wild type. The sensitivity of the ALS enzyme to sulfonylurea, imidazolinone and triazolopyrimidine herbicides was not altered in the mutant. At the plant growth level the mutant was also resistant to valine plus leucine, but was sensitive to leucine orisoleucine alone. The mutant gene,var1, maps, or is very closely linked, toCSR1, the gene encoding acetolactate synthase inArabidopsis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01089041
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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