32
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Analytic inversion for a general case of certain classes of matrices

Pages 199-205 | Received 22 May 1998, Published online: 19 Mar 2007

References

  • Burgoyne , F. D. 1964 . Note 3107, Inverse of a tridiagonal matrix . Mathematical Gagette , 48 : 436 – 437 .
  • Carayannis , G. , Kalouptsidis , N. and Manolakis , D. G. 1982 . Fast recursive algorithms for a class of linear equations . IEEE Trans. Acoust. Speech Sig. Proc. , 30 : 227 – 239 .
  • Frank , W. L. 1958 . Computing eigenvalues of complex matrices by determinant evaluation and by methods of Danilewski and Wielandt . SIAM J. , 6 : 378 – 392 .
  • Gover , M. J.C. and Barnett , S. 1986 . Brownian matrices: properties and extensions . Int. J. Systems Sci. , 17 : 381 – 386 .
  • Gregory , R. T. and Karney , D. L. 1969 . A collection of matrices for testing computational algorithms , New York : Wiley-Interscience .
  • Kovanic , P. 1970 . Inversion of a covariance matrix . J. Comput. Phys. , 5 : 355 – 357 .
  • Milnes , H. W. 1968 . A note concerning the properties of a certain class of test matrices . Math. Comp. , 22 : 827 – 832 .
  • Newman , M. and Todd , J. 1958 . The evaluation of matrix inversion programs . SIAM J. , 6 : 466 – 476 .
  • Valvi , F. N. 1977 . Explicit presentation of the inverses of some types of matrices . J. Inst. Maths. Applics. , 19 : 107 – 117 .
  • Valvi , F. N. and Geroyannis , V. S. 1987 . Analytic inverses and determinants for a class of matrices . IMA J. Num. Anal. , 7 : 123 – 128 .
  • Valvi , F. N. 1995 . The Hadamard product of two classes of matrices: analytic inverse and determinant . J. Austral. Math. Soc. Ser. , B 36 : 493 – 497 .
  • Westlake , J. R. 1975 . A handbook of numerical matrix inversion and solution of linear equations , New York : Robert E. Krieger Publishing Co. .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.