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Home/Magazine Archive/November 1973 (Vol. 16, No. 11)/Algorithm 464: eigenvalues of a real, symmetric, tridiagonal.../Abstract

Algorithm 464: eigenvalues of a real, symmetric, tridiagonal matrix [F2]

By Christian H. Reinsch
Communications of the ACM, November 1973, Vol. 16 No. 11, Page 689
10.1145/355611.362539
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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 [1]. Procedures tred1 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.

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