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 68 articles , 1 standard article )

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  1. Choi, Youngmi; Lee, Hyung-Chun: Error analysis of finite element approximations of the optimal control problem for stochastic Stokes equations with additive white noise (2018)
  2. Hopkins, Tim; Kılıç, Emrah: An analytical approach: explicit inverses of periodic tridiagonal matrices (2018)
  3. Chang, Winston W.; Chen, Tai-Liang: Tridiagonal matrices with dominant diagonals and applications (2016)
  4. Atawna, S.; Abu-Saris, R.; Hashim, I.; Ismail, E. S.: On the period-two cycles of (x_n + 1 = (\alpha+ \betax_n + \gammax_n - k)/(A + Bx_n + Cx_n - k)) (2013)
  5. Brás, Carmo P.; Hager, William W.; Júdice, Joaquim J.: An investigation of feasible descent algorithms for estimating the condition number of a matrix (2012)
  6. O’Sullivan, Stephen; O’Sullivan, Conall: On the acceleration of explicit finite difference methods for option pricing (2011)
  7. Yalçiner, Aynur: The LU factorizations and determinants of the (k)-tridiagonal matrices (2011)
  8. Bencteux, G.; Cancés, E.; Hager, W. W.; Le Bris, C.: Analysis of a quadratic programming decomposition algorithm (2010)
  9. Dostál, Zdeněk: Optimal quadratic programming algorithms. With applications to variational inequalities (2009)
  10. Hager, William W.; Phan, Dzung T.: An ellipsoidal branch and bound algorithm for global optimization (2009)
  11. Jiang, Yi; Hager, William W.; Li, Jian: The generalized triangular decomposition (2008)
  12. Kilic, Emrah: On a constant-diagonals matrix (2008)
  13. Kılıç, Emrah: Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions (2008)
  14. El-Mikkawy, Moawwad; Karawia, Abdelrahman: Inversion of general tridiagonal matrices (2006)
  15. Alexandrov, Vassil; Karaivanova, Aneta: Finding the smallest eigenvalue by the inverse Monte Carlo method with refinement (2005)
  16. Fang, Dazhong; Yang, Xiadong: Power system transient stability simulation based on module bi-directional iteration (2005)
  17. Farhat, Charbel; Li, Jing: An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics (2005)
  18. Hager, William W.; Zhang, Hongchao: A new conjugate gradient method with guaranteed descent and an efficient line search (2005)
  19. Jiang, Yi; Hager, William W.; Li, Jian: The geometric mean decomposition (2005)
  20. Kaya, Doǧan: Parallel algorithms for reduction of a symmetric matrix to tridiagonal form on a shared memory multiprocessor (2005)

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