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  • 1995-1999  (2)
  • Chemistry  (1)
  • Cholesky decomposition  (1)
  • Glycosylasparaginase
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 36 (1996), S. 247-263 
    ISSN: 1572-9125
    Keywords: Block downdating ; Cholesky decomposition ; condition number ; error analysis ; perturbation theory ; seminormal equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new perturbation result is presented for the problem of block downdating a Cholesky decompositionX T X = R T R. Then, a condition number for block downdating is proposed and compared to other downdating condition numbers presented in literature recently. This new condition number is shown to give a tighter bound in many cases. Using the perturbation theory, an error analysis is presented for the block downdating algorithms based on the LINPACK downdating algorithm and stabilized hyperbolic transformations. An error analysis is also given for block downdating using Corrected Seminormal Equations (CSNE), and it is shown that for ill-conditioned downdates this method gives more accurate results than the algorithms based on the LINPACK downdating algorithm or hyperbolic transformations. We classify the problems for which the CSNE downdating method produces a downdated upper triangular matrix which is comparable in accuracy to the upper triangular factor obtained from the QR decomposition by Householder transformations on the data matrix with the row block deleted.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    Journal of Biomedical Materials Research 35 (1997), S. 249-254 
    ISSN: 0021-9304
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine , Technology
    Notes: Osseous defects and fractures may require supplimentation to support and promote healing. Bioglass® (BG) may be a useful therapeutic for these conditions. Therefore, we executed a study to determine whether particulate BG could promote healing of 20-mm unilateral ostectomies in the radius of rabbits. Ostectomies were either treated with BG or remained untreated in the control (CTL) group. At 4 and 8 weeks post-treatment, ostectomies were assessed histomorphometrically and biomechanically. New bone formation was more intense contiguous to the host bone for both BG and CTL than centrally, yet BG animals displayed active mineralization throughout the ostectomy. The amount of bone within BG-filled defects was greater than CTLs at 4 weeks, whereas, at 8 weeks there was no difference. Biomechanically, the BG-treated limbs required more torque to break than did CTL limbs at 4 weeks; however differences were not significantly different. By 8 weeks, the BG-treated and CTLs, had comparable strength. Bioglass® may be a useful therapy to produce the early phase of osseous repair. However, improvements in handling properties of the particles will be needed to enhance efficacy. © 1997 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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