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  • 1
    Electronic Resource
    Electronic Resource
    Microplankton population structure in Southern California nearshore waters in late spring (1980)
    Springer
    Marine biology 60 (1980), S. 209-226 
    Details
    ISSN: 1432-1793
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Taxonomic composition, biomass as organic carbon, numerical abundance, and size distribution of the microplankton were determined at 6 Southern California nearshore locations in late May–early June, 1970. Samples were taken at approximately 5 m (10 m at one station) intervals through the upper 40 to 50 m to reveal some of the small-scale differences and levels of variability in the populations. Total microplankton biomass over all euphotic zone samples varied by more than two orders of magnitude (7.6 to 1,200 μg C l-1). Average biomass at comparable sites (n=5) ranged from 48 to 240 μg C l-1; biomass range within stations varied from about 5-fold to 120-fold. Total microplankton numbers varied approximately 22-fold (4.3×105 to 9.5×106 organisms l-1) over all euphotic zone samples, but the range within stations was always less than an order of magnitude. At comparable stations, nanoplankton biomass had ranges extending from 3.7-fold to 12-fold; its average percentage contribution (±1 SD) to the total microplankton biomass varied from 39±5% to 54±13%. Netplankton biomass showed a similar minimal range, but its greatest range was more than two orders of magnitude. Ranges of abundance of major taxonomic groups within stations varied considerably from about 2-fold to more than three orders of magnitude. The small-scale variability of the populations probably affects the reliability of the microplankton as a food source for pelagic consumers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00389164
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  • 2
    Electronic Resource
    Electronic Resource
    Micro-zooplankton and its abundance relative to the larger zooplankton and other seston components (1969)
    Springer
    Marine biology 4 (1969), S. 182-189 
    Details
    ISSN: 1432-1793
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Micro-zooplankton populations in the upper 100 m were sampled from 5 marine environments in the northeast Pacific Ocean extending from slope waters off San Diego to an oceanic site near Isla Guadalupe, and their abundance related to that of the larger zooplankton, phytoplankton (as estimated from chlorophyll a), and detritus. The micro-zooplankton and other components of the seston were subdivided into 3 fractions on the basis of size in the deck-mounted collecting unit of a seawater pumping system. Through the euphotic zone at each site, the Protozoa, of which ciliates were the dominant forms, accounted for 95% or more of the total micro-zooplankton numbers. Their biomass, as volume, was estimated to be 13 to 28% of that of the total micro-zooplankton. The standing stock of micro-zooplankton over the euphotic zone at the various sites, in terms of dry weight, was estimated to be 14 to 34% (average 23%) of that of the phytoplankton crop. Micro-zooplankton volumes in the upper 100 m were 21 to 26% of those for the larger zooplankton sampled over the same depth.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00393891
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  • 3
    Electronic Resource
    Electronic Resource
    A generalization of a theorem of fan on gershgorin disks (1967)
    Springer
    Numerische Mathematik 10 (1967), S. 162-162 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02174149
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  • 4
    Electronic Resource
    Electronic Resource
    “Some iterations for factoring a polynomial” (1969)
    Springer
    Numerische Mathematik 13 (1969), S. 458-470 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02163273
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  • 5
    Electronic Resource
    Electronic Resource
    Comments on “some iterations for factoring a polynomial” (1969)
    Springer
    Numerische Mathematik 13 (1969), S. 470-471 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02163274
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  • 6
    Electronic Resource
    Electronic Resource
    On the invariance of perturbed null vectors under column scaling (1984)
    Springer
    Numerische Mathematik 44 (1984), S. 61-65 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65F20 ; 65F35 ; CR: G.1.3
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary It is shown that the approximate null vector of a perturbed degenerate matrix behaves linearly under column scaling up to second order terms in the perturbation. This result has important consequences for an estimation technique known to numerical analysts as total least squares and to statisticians as latent root regression.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389755
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  • 7
    Electronic Resource
    Electronic Resource
    Accelerating the orthogonal iteration for the eigenvectors of a Hermitian matrix (1969)
    Springer
    Numerische Mathematik 13 (1969), S. 362-376 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02165413
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  • 8
    Electronic Resource
    Electronic Resource
    Conjugate direction methods for solving systems of linear equations (1973)
    Springer
    Numerische Mathematik 21 (1973), S. 285-297 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A generalization of the notion of a set of directions conjugate to a matrix is shown to lead to a variety of finitely terminating iterations for solving systems of linear equations. The errors in the iterates are characterized in terms of projectors constructable from the conjugate directions. The natural relations of the algorithms to well known matrix decompositions are pointed out. Some of the algorithms can be used to solve linear least squares problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01436383
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  • 9
    Electronic Resource
    Electronic Resource
    Some iterations for factoring a polynomial. II a generalization of the secant method (1974)
    Springer
    Numerische Mathematik 22 (1974), S. 33-36 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper describes an iterative method for factoring a polymonial that bears the same relation to Bairstow's method as the secant method in a single variable bears to Newton's method. Like the secant method, the generalized secant method requires only one function evaluation for each iteration, and like the secant method it converges to a simple factor with order $${{\left( {1 + \sqrt 5 } \right)} \mathord{\left/ {\vphantom {{\left( {1 + \sqrt 5 } \right)} 2}} \right. \kern-\nulldelimiterspace} 2}$$ .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01436619
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  • 10
    Electronic Resource
    Electronic Resource
    Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices (1976)
    Springer
    Numerische Mathematik 25 (1976), S. 123-136 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper describes a simultaneous iteration technique for computing a nested sequence of orthonormal bases for the dominant invariant subspaces of a non-Hermitian matrix. The method is particularly suited to large sparse eigenvalue problems, since it requires only that one be able to form the product of the matrix in question with a vector. A convergence theory for the method is developed and practical details are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01462265
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