Calculation of the Eigenvalues of a Tridiagonal Hermitian Matrix
Journal Article
·
· Journal of Mathematical Physics
For real symmetric or Hermitian matrices with tridiagonal form, the secular equation may be written as a continued fraction equation f( lambda ) = 0. f( lambda ) is a member of a recursively defined sequence R(n)( lambda ) of n continued fractions if the secular equation is of the nth order. The basis for a new method of computing the eigenvalues of such tridiagonal matrices is given. The method requires the determination of an integer-valued function P/sub n/( gamma ) for a succession of values of gamma , where Pn( gamma ) is a function only of n and the signs of the n terms in R(n)( lambda ). (auth)
- Research Organization:
- Univ. of Notre Dame, Indiana
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-032894
- OSTI ID:
- 4837223
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 2; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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