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  • Numerical Analysis  (1)
  • Quality Assurance and Reliability  (1)
  • Geophysics
  • Geosciences (General)
  • 2000-2004  (2)
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  • 1
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    Conditioning of the Stable, Discrete-time Lyapunov Operator (2000)
    In:  CASI
    Details
    Publication Date: 2019-07-12
    Description: The Schatten p-norm condition of the discrete-time Lyapunov operator L(sub A) defined on matrices P is identical with R(sup n X n) by L(sub A) P is identical with P - APA(sup T) is studied for stable matrices A is a member of R(sup n X n). Bounds are obtained for the norm of L(sub A) and its inverse that depend on the spectrum, singular values and radius of stability of A. Since the solution P of the the discrete-time algebraic Lyapunov equation (DALE) L(sub A)P = Q can be ill-conditioned only when either L(sub A) or Q is ill-conditioned, these bounds are useful in determining whether P admits a low-rank approximation, which is important in the numerical solution of the DALE for large n.
    Keywords: Numerical Analysis
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 2
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    An Adaptive Buddy Check for Observational Quality Control (2000)
    In:  CASI
    Details
    Publication Date: 2019-07-10
    Description: An adaptive buddy check algorithm is presented that adjusts tolerances for outlier observations based on the variability of surrounding data. The algorithm derives from a statistical hypothesis test combined with maximum-likelihood covariance estimation. Its stability is shown to depend on the initial identification of outliers by a simple background check. The adaptive feature ensures that the final quality control decisions are not very sensitive to prescribed statistics of first-guess and observation errors, nor on other approximations introduced into the algorithm. The implementation of the algorithm in a global atmospheric data assimilation is described. Its performance is contrasted with that of a non-adaptive buddy check, for the surface analysis of an extreme storm that took place in Europe on 27 December 1999. The adaptive algorithm allowed the inclusion of many important observations that differed greatly from the first guess and that would have been excluded on the basis of prescribed statistics. The analysis of the storm development was much improved as a result of these additional observations.
    Keywords: Quality Assurance and Reliability
    Format: application/pdf
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    NASA TECHNICAL REPORTS
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