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A strict bound to the condition number of bordered positive definite matrices

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Publication:1092975
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DOI10.1007/BF02247946zbMath0628.15004MaRDI QIDQ1092975

Emilio Spedicato, Wolfgang Burmeister

Publication date: 1988

Published in: Computing (Search for Journal in Brave)


zbMATH Keywords

positive definite matricescondition numberbordered matrices


Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)


Related Items (2)

On the bounds to the condition number of bordered positive definite matrices ⋮ Optimally conditioned scaled ABS algorithms for linear systems



Cites Work

  • A class of direct methods for linear systems
  • Variationally derived algorithms in the ABS class for linear systems
  • A bound to the condition number of canonical rank-two corrections and applications to the variable metric method
  • Rank-one and Rank-two Corrections to Positive Definite Matrices Expressed in Product Form


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