The calculation of the eigenvectors of a general complex matrix by inverse iteration

Author:
J. M. Varah

Journal:
Math. Comp. **22** (1968), 785-791

MathSciNet review:
0240968

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References | Additional Information

**[1]**Dennis J. Mueller,*Householder’s method for complex matrices and eigensystems of hermitian matrices*, Numer. Math.**8**(1966), 72–92. MR**0192647****[2]**E. E. Osborne,*On pre-conditioning of matrices*, J. Assoc. Comput. Mach.**7**(1960), 338–345. MR**0143333****[3]**B. N. Parlett, "Laguerre's method applied to the matrix eigenvalue problem,"*Math. Comp.*, v. 18, 1964, pp. 464-485. MR**29**#2948.**[4]**J. H. Wilkinson,*The calculation of eigenvectors by the method of Lanczos*, Comput. J**1**(1958), 148–152. MR**0102915****[5]**J. H. Wilkinson,*Rounding errors in algebraic processes*, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. MR**0161456****[6]**J. H. Wilkinson,*The algebraic eigenvalue problem*, Clarendon Press, Oxford, 1965. MR**0184422****[7]**J. M. Varah,*Rigorous machine bounds for the eigensystem of a general complex matrix*, Math. Comp. 22 (1968), 793-801; addendum, ibid.**22**(1968), no. 104, loose microfiche suppl., B1–B7. MR**0243731**, 10.1090/S0025-5718-68-99867-0

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-68-99868-2

Article copyright:
© Copyright 1968
American Mathematical Society