Abstract
This section contains the documentation and source listings for the EISPACK subroutines and the documentation for the control program EISPAC. The subroutines appear in alphabetical order in Section 7.1 with the source listing for each subroutine following its document. Section 7.2 contains the document for EISPAC, but because of its size and machine dependencies the listing is not included.
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References
Wilkinson, J.H., The Algebraic Eigenvalue Problem, Oxford, Clarendon Press, 335–337 (1965).
Parlett, B.N. and Reinsch, C, Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors, Num. Math. 13, 293–304 (1969). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/11, 315–326, Springer-Verlag, 1971.)
Parlett, B.N. and Reinsch, C, Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors, Num. Math. 13, 293–304 (1969). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/11, 315–326, Springer-Verlag, 1971.)
Barth, W., Martin, R.S., and Wilkinson, J.H., Calculation of the Eigenvalues of a Symmetric Tridiagonal Matrix by the Method of Bisection, Num. Math. 9, 386–393 (1967).
Peters, G. and Wilkinson, J.H., The Calculation of Specified Eigenvectors by Inverse Iteration, Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/18, 418–439, Springer-Verlag, 1971
Parlett, B.N. and Reinsch, C, Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors, Num. Math. 13, 293–304 (1969). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/11, 315–326, Springer-Verlag, 1971.)
Parlett, B.N. and Reinsch, C, Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors, Num. Math. 13, 293–304 (1969). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/11, 315–326, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H., The Calculation of Specified Eigenvectors by Inverse Iteration, Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/18, 418–439, Springer-Verlag, 1971
Martin, R.S. and Wilkinson, J.H., Similarity Reduction of a General Matrix to Hessenberg Form, Num. Math. 12, 349–368 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/13, 339–358, Springer-Verlag, 1971.)
Martin, R.S. and Wilkinson, J.H., Similarity Reduction of a General Matrix to Hessenberg Form, Num. Math. 12, 349–368 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/13, 339–358, Springer-Verlag, 1971.)
Martin, R.S. and Wilkinson, J.H., The Modified LR Algorithm for Complex Hessenberg Matrices, Num. Math. 12, 369–376 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/16, 396–403, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H., Eigenvectors of Real and Complex Matrices by LR and QR Triangularizations, Num. Math. 16, 181–204 (1970). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/15, 372–395, Springer-Verlag, 1971.)
Martin, R.S. and Wilkinson, J.H., Similarity Reduction of a General Matrix to Hessenberg Form, Num. Math. 12, 349–368 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/13, 339–358, Springer-Verlag, 1971.)
Martin, R.S. and Wilkinson, J.H., Similarity Reduction of a General Matrix to Hessenberg Form, Num. Math. 12, 349–368 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/13, 339–358, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H,, Eigenvectors of Real and Complex Matrices by LR and QR Triangularizations, Num. Math. 16, 181–204 (1970). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/15, 372–395, Springer-Verlag, 1971.)
Wilkinson, J.H., The Algebraic Eigenvalue Problem, Oxford, Clarendon Press, 335–337 (1965)
Wilkinson, J.H., The Algebraic Eigenvalue Problem, Oxford, Clarendon Press, 335–337 (1965).
Martin, R.S., Peters, G., and Wilkinson, J.H., The QR Algorithm for Real Hessenberg Matrices, Num. Math. 14, 219–231 (1970). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/14, 359–371, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H., Eigenvectors of Real and Complex Matrices by LR and QR Triangularizations, Num. Math. 16, 181–204 (1970). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/15, 372–395, Springer-Verlag, 1971.)
Martin, R.S., Reinsch, C., and Wilkinson, J.H., Householder’s Tridiagonalization of a Symmetric Matrix, Num. Math. 11, 181–195 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/2, 212–226, Springer-Verlag, 1971.)
Mueller, D.J., Householder’s Method for Complex Matrices and Eigensystems of Hermitian Matrices, Num. Math. 8, 72–92 (1966)
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Mueller, D.J., Householder’s Method for Complex Matrices and Eigensystems of Hermitian Matrices, Num. Math. 8, 72–92 (1966).
Martin, R.S. and Wilkinson, J.H., The Implicit QL Algorithm, Num. Math. 12, 377–383 (1968).
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Dubrulle, A., A Short Note on the Implicit QL Algorithm, Num. Math. 15, 450 (1970). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/4, 241–248, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H., The Calculation of Specified Eigenvectors by Inverse Iteration, Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/18, 418–439, Springer-Verlag, 1971.
Martin, R.S. and Wilkinson, J.H., Similarity Reduction of a General Matrix to Hessenberg Form, Num. Math. 12, 349–368 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/13, 339–358, Springer-Verlag, 1971.)
Martin, R.S. and Wilkinson, J.H., Similarity Reduction of a General Matrix to Hessenberg Form, Num. Math. 12, 349–368 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/13, 339–358, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H., Eigenvectors of Real and Complex Matrices by LR and QR Triangularizations, Num. Math. 16, 181–204 (1970). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/15, 372–395, Springer-Verlag, 1971.)
Reinsch, C. and Bauer, F.L., Rational QR Transformation with Newton Shift for Symmetric Tridiagonal Matrices, Num. Math. 11, 264–272 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/6, 257–265, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H., The Calculation of Specified Eigenvectors by Inverse Iteration, Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/18, 418–439, Springer-Verlag, 1971.
Bowdler, H., Martin, R.S., Reinsch, C, and Wilkinson, J.H., The QR and QL Algorithms for Symmetric Matrices, Num. Math. 11, 293–306 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/3, 227–240, Springer-Verlag, 1971.)
Bowdler, H., Martin, R.S., Reinsch, C, and Wilkinson, J.H., The QR and QL Algorithms for Symmetric Matrices, Num. Math. 11, 293–306 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/3, 227–240, Springer-Verlag, 1971.)
Martin, R.S., Reinsch, C, and Wilkinson, J.H., Householder’s Tridiagonalization of a Symmetric Matrix, Num. Math. 11, 181–195 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/2, 212–226, Springer-Verlag, 1971.)
Martin, R.S., Reinsch, C, and Wilkinson, J.H., Householder’s Tridiagonalization of a Symmetric Matrix, Num. Math. 11, 181–195 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/2, 212–226, Springer-Verlag, 1971.)
Martin, R.S., Reinsch, C, and Wilkinson, J.H., Householder’s Tridiagonalization of a Symmetric Matrix, Num. Math. 11, 181–195 (1968). (Reprinted in Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/2, 212–226, Springer-Verlag, 1971.)
Peters, G. and Wilkinson, J.H., The Calculation of Specified Eigenvectors by Inverse Iteration, Handbook for Automatic Computation, Volume II, Linear Algebra, J. H. Wilkinson — C. Reinsch, Contribution II/18, 418–439, Springer-Verlag, 1971.
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Nats Project, Eigensystem Subroutine Package (EISPACK), Subroutines E2F269 to E2F298 and E2F220 to E2F223. (Reproduced as section 7.1 of this publication.)
Wilkinson, J.H. and Reinsch, C, Handbook for Automatic Computation, Volume II, Linear Algebra, Springer-Verlag, (1971).
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Smith, B.T., Boyle, J.M., Garbow, B.S., Ikebe, Y., Klema, V.C., Moler, C.B. (1974). Documentation and Source Listings. In: Matrix Eigensystem Routines — EISPACK Guide. Lecture Notes in Computer Science, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38004-7_7
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