Algorithm 674

Algorithm 674: FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation.

This software is also peer reviewed by journal TOMS.

Keywords for this software

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References in zbMATH (referenced in 21 articles , 1 standard article )

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  1. Diao, Huai-An; Wei, Yimin; Qiao, Sanzheng: Structured condition numbers of structured Tikhonov regularization problem and their estimations (2016)
  2. Higham, Nicholas J.; Relton, Samuel D.: Estimating the largest elements of a matrix (2016)
  3. Weng, Peter Chang-Yi; Phoa, Frederick Kin Hing: Small-sample statistical condition estimation of large-scale generalized eigenvalue problems (2016)
  4. Walter, Éric: Numerical methods and optimization. A consumer guide (2014)
  5. Boisvert, Jason J.; Muir, Paul H.; Spiteri, Raymond J.: A Runge-Kutta BVODE solver with global error and defect control (2013)
  6. Diao, Huaian; Wang, Weiguo; Wei, Yimin; Qiao, Sanzheng: On condition numbers for Moore-Penrose inverse and linear least squares problem involving Kronecker products (2013)
  7. Diao, Huaian; Xiang, Hua; Wei, Yimin: Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations. (2012)
  8. Petkov, P. Hr.; Konstantinov, M. M.; Christov, N. D.: LAPACK-based condition estimates for the discrete-time LQG design (2009)
  9. Laub, A. J.; Xia, J.: Applications of statistical condition estimation to the solution of linear systems (2008)
  10. Cash, J. R.; Mazzia, F.: A new mesh selection algorithm, based on conditioning, for two-point boundary value codes (2005)
  11. Collis, Jon; Van Vleck, Erik S.: Efficient numerical shadowing global error estimation for high dimensional dissipative systems (2004)
  12. Shampine, L. F.; Muir, P. H.: Estimating conditioning of BVPs for ODEs (2004)
  13. Kågström, Bo; Poromaa, Peter: Computing eigenspaces with specified eigenvalues of a regular matrix pair ((A,B)) and condition estimation: Theory, algorithms and software (1996)
  14. Kågström, Bo; Poromaa, Peter: LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs (1996)
  15. Higham, Desmond J.: Condition numbers and their condition numbers (1995)
  16. Demmel, James W.; Li, Xiaoye: Faster numerical algorithms via exception handling. (1994)
  17. Higham, Nicholas J.: The matrix sign decomposition and its relation to the polar decomposition (1994)
  18. Bartels, Sven G.; Higham, Desmond J.: The structured sensitivity of Vandermonde-like systems (1992)
  19. Higham, Desmond J.; Higham, Nicholas J.: Componentwise perturbation theory for linear systems with multiple right- hand sides (1992)
  20. Higham, Nicholas J.: Estimating the matrix (p)-norm (1992)

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