NAPACK

NAPACK is a collection of Fortran subroutines for doing numerical linear algebra and optimization. It may be used to solve linear systems, to estimate the condition number or the norm of a matrix, to compute determinants, to multiply a matrix by a vector, to invert a matrix, to solve least squares problems, to perform unconstrained minimization, to compute eigenvalues, eigenvectors, the singular value decomposition, or the QR decomposition. The package has special routines for general, band, symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. (netlib napack)


References in zbMATH (referenced in 59 articles , 1 standard article )

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  1. Atawna, S.; Abu-Saris, R.; Hashim, I.; Ismail, E.S.: On the period-two cycles of $x_n + 1 = (\alpha + \beta x_n + \gamma x_n - k)/(A + Bx_n + Cx_n - k)$ (2013)
  2. Brás, Carmo P.; Hager, William W.; Júdice, Joaquim J.: An investigation of feasible descent algorithms for estimating the condition number of a matrix (2012)
  3. Bencteux, G.; Cancés, E.; Hager, W.W.; Le Bris, C.: Analysis of a quadratic programming decomposition algorithm (2010)
  4. Dostál, Zdeněk: Optimal quadratic programming algorithms. With applications to variational inequalities (2009)
  5. Hager, William W.; Phan, Dzung T.: An ellipsoidal branch and bound algorithm for global optimization (2009)
  6. Kilic, Emrah: On a constant-diagonals matrix (2008)
  7. Kılıç, Emrah: Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions (2008)
  8. El-Mikkawy, Moawwad; Karawia, Abdelrahman: Inversion of general tridiagonal matrices (2006)
  9. Alexandrov, Vassil; Karaivanova, Aneta: Finding the smallest eigenvalue by the inverse Monte Carlo method with refinement (2005)
  10. Fang, Dazhong; Yang, Xiadong: Power system transient stability simulation based on module bi-directional iteration (2005)
  11. Farhat, Charbel; Li, Jing: An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics (2005)
  12. Hager, William W.; Zhang, Hongchao: A new conjugate gradient method with guaranteed descent and an efficient line search (2005)
  13. Jiang, Yi; Hager, William W.; Li, Jian: The geometric mean decomposition (2005)
  14. Kaya, Doǧan: Parallel algorithms for reduction of a symmetric matrix to tridiagonal form on a shared memory multiprocessor (2005)
  15. Kaya, D.; Wright, K.: Parallel algorithms for reduction of a general matrix to upper Hessenberg form on a shared memory multiprocessor (2005)
  16. Beyn, Wolf-Jürgen; Hüls, Thorsten; Kleinkauf, Jan-Martin; Zou, Yongkui: Numerical analysis of degenerate connecting orbits for maps. (2004)
  17. El-Mikkawy, Moawwad E. A.: On the inverse of a general tridiagonal matrix. (2004)
  18. El-Mikkawy, Moawwad: Vandermonde interpolation using special associated matrices (2003)
  19. El-Mikkawy, Moawwad: A note on a three-term recurrence for a tridiagonal matrix. (2003)
  20. Hayes, Wayne B.; Jackson, Kenneth R.: Rigorous shadowing of numerical solutions of ordinary differential equations by containment (2003)

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