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article · Communications of the ACM · 1973

Algorithm 465: student's <i>t</i> frequency [S14]

G. W. Hill

Cited by 4Open access

Abstract

This algorithm uses a rational variant of the QR transformation with explicit shift for the computation of all of the eigenvalues of a real, symmetric, and tridiagonal matrix. Details are described in Ill. Procedures tredl or tred3 published in [2] may be used to reduce any real, symmetric matrix to tridiagonal form. Turn the matrix end-for-end if necessary to bring very large entries to the bottom right-hand corner.

Cite this paper

APA 7

Hill, G. W. (1973). Algorithm 465: student's <i>t</i> frequency [S14]. Communications of the ACM, 16(11), 690. https://doi.org/10.1145/355611.362540

MLA 9

Hill, G. W. “Algorithm 465: student's <i>t</i> frequency [S14].” Communications of the ACM, vol. 16, no. 11, 1973, p. 690, https://doi.org/10.1145/355611.362540.

Chicago

Hill, G. W. 1973. “Algorithm 465: student's <i>t</i> frequency [S14].” Communications of the ACM 16 (11): 690. https://doi.org/10.1145/355611.362540.

Harvard

Hill, G.W. (1973) ‘Algorithm 465: student's <i>t</i> frequency [S14]’, Communications of the ACM, 16(11), p. 690. Available at: https://doi.org/10.1145/355611.362540.

BibTeX
@article{hill1973algorithm,
  title = {{Algorithm 465: student's <i>t</i> frequency [S14]}},
  author = {Hill, G. W.},
  journal = {Communications of the ACM},
  volume = {16},
  number = {11},
  pages = {690},
  year = {1973},
  doi = {10.1145/355611.362540}
}

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