1. Habitat destruction, habitat restoration and eigenvector-eigenvalue relations
   Ovaskainen, O.
   Mathematical Biosciences, 2003, vol. 181, no. 2, pp. 165-176, Ingenta.  
2. Normal matrices with a dominant eigenvalue and an eigenvector with no zero entries
   Horn, R. A.
   Linear Algebra and Its Applications, 2002, vol. 357, no. 1-3, pp. 35-44, Ingenta.  
3. Exact solution of Eigenvalue and Eigenvector derivatives and its application in structural dynamics
   Li, S.; Zhang, X.-g.
   Journal- Beijing University of Aeronautics and Astronautics, 2000, vol. 26, no. 5, pp. 577-580, Ingenta.  
4. On Some Eigenvector-Eigenvalue Relations
   S. Elhay, G. M. L. Gladwell, G. H. Golub, Y. M. Ram  
   SIAM Journal on Matrix Analysis and Applications, Volume 20, Number 3, 1999, pp. 563-574
5. On Some Eigenvector-Eigenvalue Relations.
   Elhay, S.; Gladwell, G.M.L.; Ram, Y.M.
   SIAM journal on matrix analysis and applications, 1999, vol. 20, no. 3, pp. 563, Ingenta.  
6. Newton's Method for a Generalized Inverse Eigenvalue Problem
   Hua Dai, Peter Lancaster
   Numerical Linear Algebra with Applications, Volume: 4, Issue: 1, Date: January/February 1997, Pages: 1-2, Wiley Inter Science Search
7. Complex Eigenvalues and Rotations: Are Your Students Going in Circles? (in Classroom Capsules)  
   James Duemmel  
   The College Mathematics Journal, Vol. 27, No. 5. (Nov., 1996), pp. 378-381, Jstor.  
8. Computing an Eigenvector of a Tridiagonal when the Eigenvalue is Known.
   Fernando, K. V.
   Zeitschrift fur angewandte mathematik und mechanik, 1996, vol. 76supp1, pp. 299, Ingenta.  
9. Eigenpictures: Picturing the Eigenvector Problem (in Classroom Computer Capsules)  
   Steven Schonefeld  
   The College Mathematics Journal, Vol. 26, No. 4. (Sep., 1995), pp. 316-319, Jstor.  
10. Polynomial Roots from Companion Matrix Eigenvalues  
    Alan Edelman, H. Murakami
    Mathematics of Computation, Vol. 64, No. 210. (Apr., 1995), pp. 763-776, Jstor.  
11. Reflection and refraction at the surface of an isotropic chiral medium: eigenvalue - eigenvector solution using a 4 x 4 matrix method.
    Georgieva, Elena
    Journal of the Optical Society of America. A, Optics, image science, and vision, 1995, vol. 12, no. 10, pp. 2203, Ingenta.  
12. An Eigenvalue-Eigenvector Approach to Predicting Protein Folding Types.
    Zhang, Chun-Ting; Chou, Kou-Chen
    Journal of protein chemistry, 1995, vol. 14, no. 5, pp. 309, Ingenta.  
13. Regions in the Complex Plane Containing the Eigenvalues of a Matrix  
    Richard A. Brualdi; Stephen Mellendorf  
    The American Mathematical Monthly, Vol. 101, No. 10. (Dec., 1994), pp. 975-985, Jstor.  
14. Total Least Squares: State-of-the-Art Regression in Numerical Analysis (in Classroom Notes)  
    Yves Nievergelt
    SIAM Review, Vol. 36, No. 2. (Jun., 1994), pp. 258-264, Jstor.  
15. Real-Time Computation of the Eigenvector Corresponding to the Smallest Eigenvalue of a Positive Definite Matrix.
    Fa-Long, L.; Yan-Da, L.
    IEEE transactions on circuits & systems. Part 1, Fundamental theory and applications, 1994, vol. 41, no. 8, pp. 550, Ingenta.  
16. Some Perspectives on the Eigenvalue Problem
    David S. Watkins
    SIAM Review, Vol. 35, No. 3. (Sep., 1993), pp. 430-471.
17. A Parallel Algorithm for Computing the Eigenvalues of a Symmetric Tridiagonal Matrix  
    Paul N. Swarztrauber
    Mathematics of Computation, Vol. 60, No. 202. (Apr., 1993), pp. 651-668, Jstor.  
18. Approximations of the Spectral Radius, Corresponding Eigenvector, and Second Largest Modulus of an Eigenvalue for Square, Nonnegative, Irreducible Matrices.
    Gross, Orna; Rothhblum, Uriel G.
    The Journal of supercomputing, 1993, vol. 14, no. 1, pp. 15, Ingenta.  
19. Eigenvectors and Jordan Bases Using Symbolic Programs (in Classroom Computer Capsules)  
    Robert J. Hill; Robert D. Bechtel  
    The College Mathematics Journal, Vol. 23, No. 1. (Jan., 1992), pp. 59-63, Jstor.  
20. A Random Ladder Game: Permutations, Eigenvalues, and Convergence of Markov Chains  
    Lester H. Lange; James W. Miller  
    The College Mathematics Journal, Vol. 23, No. 5. (Nov., 1992), pp. 373-385, Jstor.  
21. Eigenvalue and Eigenvector approximate analysis for repeated Eigenvalue problems.
    Hou, G.J.W.; Kenny, S.P.
    AIAA journal, 1992, vol. 30, no. 9, pp. 2317, Ingenta.  
22. On the Orthogonality of Eigenvectors Computed by Divide-and-Conquer Techniques  
    D. C. Sorensen, Ping Tak Peter Tang
    SIAM Journal on Numerical Analysis, Vol. 28, No. 6. (Dec., 1991), pp. 1752-1775, Jstor.  
23. Discrete Least Squares Approximation by Trigonometric Polynomials
    L. Reichel, G. S. Ammar, W. B. Gragg
    Mathematics of Computation, Vol. 57, No. 195. (Jul., 1991), pp. 273-289.
24. Solving the inverse eigenvalue problem via the eigenvector matrix.
    Laurie, D.P.
    Journal of computational and applied mathematics, 1991, vol. 35, no. 1/3, pp. 277, Ingenta.  
25. Diagonal Transformation Methods for Computing the Maximal Eigenvalue and Eigenvector of a Nonnegative Irreducible Matrix.
    At, Pham Van
    Linear algebra and its applications, 1991, vol. 148, pp. 93, Ingenta.  
26. Easy Algorithms for Finding Eigenvalues (in Notes)  
    Clifford Reiter  
    Mathematics Magazine, Vol. 63, No. 3. (Jun., 1990), pp. 173-178, Jstor.  
27. A Simple Algorithm for Finding Eigenvalues and Eigenvectors for 2 × 2 Matrices (in The Teaching of Mathematics)  
    Tyre A. Newton  
    The American Mathematical Monthly, Vol. 97, No. 1. (Jan., 1990), pp. 57-60, Jstor.  
28. Two Theorems on Singular Values and Eigenvalues (in Notes)  
    Roy Mathias  
    The American Mathematical Monthly, Vol. 97, No. 1. (Jan., 1990), pp. 47-50, Jstor.  
29. Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices  
    Jesse Barlow, James Demmel
    SIAM Journal on Numerical Analysis, Vol. 27, No. 3. (Jun., 1990), pp. 762-791, Jstor.  
30. Rayleigh Quotient Iteration for Nonsymmetric Matrices  
    Steve Batterson; John Smillie  
    Mathematics of Computation, Vol. 55, No. 191. (Jul., 1990), pp. 169-178, Jstor.  
31. Spatial activity allocation modeling: The dominant eigenvalue and its corresponding eigenvector.
    Dietzenbacher, E.
    European journal of operational research, 1990, vol. 47, no. 1, pp. 115, Ingenta.  
32. Eigenvalue and eigenvector determination for non-classically damped dynamic systems.
    Cronin, D.L.
    Computers & structures, 1990, vol. 36, no. 1, pp. 133, Ingenta.  
33. Systolic designs for eigenvalue-eigenvector computations using matrix powers.
    Evans, D. J.; Margaritis, K.
    Parallel computing, 1990, vol. 14, no. 1, pp. 77, Ingenta.  
34. An Eigenvalue Characterization of the Correlation Coefficient (in Notes)  
    Seymour Kass  
    The American Mathematical Monthly, Vol. 96, No. 10. (Dec., 1989), pp. 910-911, Jstor.  
35. Estimates of Eigenvalues for Iterative Methods  
    Gene H. Golub; Mark D. Kent  
    Mathematics of Computation, Vol. 53, No. 188. (Oct., 1989), pp. 619-626, Jstor.  
36. The Dynamics of Rayleigh Quotient Iteration
    Steve Batterson, John Smillie
    SIAM Journal on Numerical Analysis, Vol. 26, No. 3. (Jun., 1989), pp. 624-636.
37. A Fixed Point Technique to Refine a Simple Approximate Eigenvalue and a Corresponding Eigenvector.
    Deshpande, L.N.; Limaye, B.V.
    Numerical functional analysis and optimization, 1989, vol. 10, no. 9/10, pp. 909, Ingenta.  
38. Companion Matrices with Integer Entries and Integer Eigenvalues and Eigenvectors (in The Teaching of Mathematics)  
    Richard C. Gilbert  
    The American Mathematical Monthly, Vol. 95, No. 10. (Dec., 1988), pp. 947-950, Jstor.  
39. Efficient Algorithms for the Evaluation of the Eigenvalues of (Block) Banded Toeplitz Matrices  
    D. Bini; V. Pan
    Mathematics of Computation, Vol. 50, No. 182. (Apr., 1988), pp. 431-448, Jstor.  
40. Localization of a simple eigenvalue and a corresponding eigenvector.
    Limaye, B. V.
    Houston journal of mathematics, 1988, vol. 14, no. 1, pp. 129, Ingenta.  
41. Derivatives and Perturbations of Eigenvectors  
    Carl D. Meyer; G. W. Stewart
    SIAM Journal on Numerical Analysis, Vol. 25, No. 3. (Jun., 1988), pp. 679-691, Jstor.  
42. A Method for Finding the Eigenvectors of an n × n Matrix Corresponding to Eigenvalues of Multiplicity One (in The Teaching of Mathematics)  
    M. Carchidi  
    The American Mathematical Monthly, Vol. 93, No. 8. (Oct., 1986), pp. 647-649, Jstor.  
43. The Power Method for Finding Eigenvalues on a Microcomputer (in The Teaching of Mathematics)  
    Gareth Williams, Donna Williams  
    American Mathematical Monthly, Vol. 93, No. 7. (Aug. - Sep., 1986), pp. 562-564, Jstor.  
44. Eigenvalues and Eigenvectors of "N-Matrices" (in The Teaching of Mathematics)  
    Samuel Councilman  
    The American Mathematical Monthly, Vol. 93, No. 5. (May, 1986), pp. 392-395, Jstor.  
45. Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors  
    James R. Weaver  
    The American Mathematical Monthly, Vol. 92, No. 10. (Dec., 1985), pp. 711-717, Jstor.  
46. Generalized Least Squares and Eigenvalues (in Notes)  
    Alan Shuchat  
    The American Mathematical Monthly, Vol. 92, No. 9. (Nov., 1985), pp. 656-659, Jstor.  
47. Matrices with Integer Entries and Integer Eigenvalues (in Notes)  
    J.-C. Renaud  
    The American Mathematical Monthly, Vol. 90, No. 3. (Mar., 1983), pp. 202-203, Jstor.  
48. Ordinary Differential Equations and the Symmetric Eigenvalue Problem
    P. Deift, T. Nanda, C. Tomei
    SIAM Journal on Numerical Analysis, Vol. 20, No. 1. (Feb., 1983), pp. 1-22.
49. Improving the Accuracy of Computed Eigenvalues and Eigenvectors  
    J. J. Dongarra, C. B. Moler, J. H. Wilkinson
    SIAM Journal on Numerical Analysis, Vol. 20, No. 1. (Feb., 1983), pp. 23-45, Jstor.  
50. Symmetric Matrices with Prescribed Eigenvalues and Eigenvectors (in Notes)  
    Konrad J. Heuvers  
    Mathematics Magazine, Vol. 55, No. 2. (Mar., 1982), pp. 106-111, Jstor.  
51. A Trace Minimization Algorithm for the Generalized Eigenvalue Problem  
    Ahmed H. Sameh; John A. Wisniewski  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 6. (Dec., 1982), pp. 1243-1259, Jstor.  
52. Eigenvalues of the Laplacian and the Heat Equation  
    Jozef Dodziuk  
    The American Mathematical Monthly, Vol. 88, No. 9. (Nov., 1981), pp. 686-695, Jstor.  
53. The ELR Method for Computing the Eigenvalues of a General Matrix  
    A. Dax, S. Kaniel
    SIAM Journal on Numerical Analysis, Vol. 18, No. 4. (Aug., 1981), pp. 597-605, Jstor.  
54. General Rayleigh Quotient Iteration  
    Peter B. Geltner
    SIAM Journal on Numerical Analysis, Vol. 18, No. 5. (Oct., 1981), pp. 839-843, Jstor.  
55. Generalizations of Laguerre's Method: Higher Order Methods
    Leslie V. Foster
    SIAM Journal on Numerical Analysis, Vol. 18, No. 6. (Dec., 1981), pp. 1004-1018.
56. Linear Algebra in Geography: Eigenvectors of Networks  
    Philip D. Straffin, Jr.  
    Mathematics Magazine, Vol. 53, No. 5. (Nov., 1980), pp. 269-276, Jstor.  
57. Orthogonality of Generalized Eigenvectors (in Notes)  
    Maurice Machover  
    Mathematics Magazine, Vol. 52, No. 4. (Sep., 1979), pp. 244-245, Jstor.  
58. Matrices, Eigenvalues and Complex Projective Space  
    J. C. Alexander  
    The American Mathematical Monthly, Vol. 85, No. 9. (Nov., 1978), pp. 727-733, Jstor.  
59. A Survey of Parallel Algorithms in Numerical Linear Algebra  
    Don Heller
    SIAM Review, Vol. 20, No. 4. (Oct., 1978), pp. 740-777, Jstor.
60. Nineteen Dubious Ways to Compute the Exponential of a Matrix  
    Cleve Moler, Charles Van Loan
    SIAM Review, Vol. 20, No. 4. (Oct., 1978), pp. 801-836, Jstor.
61. Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form  
    G. H. Golub, J. H. Wilkinson
    SIAM Review, Vol. 18, No. 4. (Oct., 1976), pp. 578-619, Jstor.
62. A Stable Generalized Eigenvalue Problem  
    C. R. Crawford  
    SIAM Journal on Numerical Analysis, Vol. 13, No. 6. (Dec., 1976), pp. 854-860, Jstor.
63. A General Matrix Eigenvalue Algorithm  
    Charles F. Van Loan
    SIAM Journal on Numerical Analysis, Vol. 12, No. 6. (Dec., 1975), pp. 819-834, Jstor.
64. Gershgorin Theory for the Generalized Eigenvalue Problem Ax = lambda Bx  
    G. W. Stewart  
    Mathematics of Computation, Vol. 29, No. 130. (Apr., 1975), pp. 600-606, Jstor.
65. On the Eigenvectors of a Finite-Difference Approximation to the Sturm-Liouville Eigenvalue Problem  
    Eckart Gekeler
    Mathematics of Computation, Vol. 28, No. 128. (Oct., 1974), pp. 973-979, Jstor.
66. The LZ-Algorithm to Solve the Generalized Eigenvalue Problem  
    Linda Kaufman
    SIAM Journal on Numerical Analysis, Vol. 11, No. 5. (Oct., 1974), pp. 997-1024, Jstor.
67. The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices  
    B. N. Parlett
    Mathematics of Computation, Vol. 28, No. 127. (Jul., 1974), pp. 679-693, Jstor.  
68. Bidiagonalization of Matrices and Solution of Linear Equations
    C. C. Paige
    SIAM Journal on Numerical Analysis, Vol. 11, No. 1. (Mar., 1974), pp. 197-209.
69. An Algorithm for Generalized Matrix Eigenvalue Problems  
    C. B. Moler, G. W. Stewart
    SIAM Journal on Numerical Analysis, Vol. 10, No. 2. (Apr., 1973), pp. 241-256, Jstor.  
70. Some Modified Matrix Eigenvalue Problems  
    Gene H. Golub  
    SIAM Review, Vol. 15, No. 2, Part 1. (Apr., 1973), pp. 318-334, Jstor.  
71. Algorithms for the Nonlinear Eigenvalue Problem
    Axel Ruhe
    SIAM Journal on Numerical Analysis, Vol. 10, No. 4. (Sep., 1973), pp. 674-689.
72. Eigenvalues of a Matrix of Rank k (in Mathematical Notes)  
    Louis Brand  
    The American Mathematical Monthly, Vol. 77, No. 1. (Jan., 1970), p. 62, Jstor.  
73. The Rotation of Eigenvectors by a Perturbation. III  
    Chandler Davis; W. M. Kahan  
    SIAM Journal on Numerical Analysis, Vol. 7, No. 1. (Mar., 1970), pp. 1-46, Jstor.  
74. Ax = lambda Bx and the Generalized Eigenproblem  
    G. Peters, J. H. Wilkinson
    SIAM Journal on Numerical Analysis, Vol. 7, No. 4. (Dec., 1970), pp. 479-492, Jstor.  
75. Note on Proper and Generalized Eigenvectors (in Mathematical Notes)  
    J. A. Jensen  
    The American Mathematical Monthly, Vol. 76, No. 4. (Apr., 1969), pp. 398-399, Jstor.  
76. The Calculation of the Eigenvectors of a General Complex Matrix by Inverse Iteration  
    J. M. Varah   
    Mathematics of Computation, Vol. 22, No. 104. (Oct., 1968), pp. 785-791+s1-s13, Jstor.  
77. Bounds for Eigenvalues and Eigenvectors of Symmetric Operators  
    C. B. Moler; L. E. Payne  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 1. (Mar., 1968), pp. 64-70, Jstor.  
78. Matrices with Specified Eigenvalues and Associated Eigenvectors, Proper or Generalized  
    Louis Brand  
    The American Mathematical Monthly, Vol. 74, No. 6. (Jun. - Jul., 1967), pp. 640-648, Jstor.  
79. Today's Computational Methods of Linear Algebra  
    George E. Forsythe
    SIAM Review, Vol. 9, No. 3. (Jul., 1967), pp. 489-515, Jstor.  
80. Eigenvalues and Eigenvectors of Hilbert Matrices of Order 3 Through 10  
    Henry E. Fettis; James C. Caslin
    Mathematics of Computation, Vol. 21, No. 99. (Jul., 1967), pp. 431-441, Jstor.  
81. Matrix Eigenvalue Problems  
    Beresford Parlett  
    The American Mathematical Monthly, Vol. 72, No. 2, Part 2: Computers and Computing. (Feb., 1965), pp. 59-66, Jstor.  
82. An Iterative Least-Square Algorithm Suitable for Computing Partial Eigensystems  
    Ivan Erdelyi
    Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis, Vol. 2, No. 3. (1965), pp. 421-436, Jstor.  
83. A Comparison of Methods for Computing the Eigenvalues and Eigenvectors of a Real Symmetric Matrix  
    Paul A. White; Robert R. Brown  
    Mathematics of Computation, Vol. 18, No. 87. (Jul., 1964), pp. 457-463, Jstor.  
84. Eigenvalues of Jordan Products (in Mathematical Notes)  
    W. Gilbert Strang  
    The American Mathematical Monthly, Vol. 69, No. 1. (Jan., 1962), pp. 37-40, Jstor.  
85. A Jacobi-like Method for the Automatic Computation of Eigenvalues and Eigenvectors of an Arbitrary Matrix  
    P. J. Eberlein  
    Journal of the Society for Industrial and Applied Mathematics,Vol. 10, No. 1.  (Mar.,1962), pp. 74-88, Jstor.  
86. Bounds for Eigenvalues of Tridiagonal Symmetric Matrices Computed by the LR Method  
    Gene H. Golub  
    Mathematics of Computation, Vol. 16, No. 80. (Oct., 1962), pp. 438-445, Jstor.  
87. On the Eigenvalues and Eigenvectors of a Class of Matrices  
    S. Parter  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 8, No. 2. (Jun., 1960), pp. 376-388, Jstor.  
88. A Method of Computing Eigenvectors and Eigenvalues on an Analog Computer  
    Lucien Neustadt  
    Mathematical Tables and Other Aids to Computation, Vol. 13, No. 67. (Jul., 1959), pp. 194-201, Jstor.  
89. The Computation of Eigenvalues and Eigenvectors of a Matrix  
    Paul A. White  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 4. (Dec., 1958), pp. 393-437, Jstor.  
90. An Eigenvalue for the Product of Normal Matrices (in Mathematical Notes)  
    M. Marcus  
    The American Mathematical Monthly, Vol. 63, No. 3. (Mar., 1956), pp. 173-174, Jstor.  
91. Spectral Theory and its Application to Differential Eigenvalue Problems  
    W. H. McEwen  
    The American Mathematical Monthly, Vol. 60, No. 4. (Apr., 1953), pp. 223-233, Jstor.  
92. Computing Eigenvalues and Eigenvectors of a Symmetric Matrix on the ILLIAC   
    Robert T. Gregory  
    Mathematical Tables and Other Aids to Computation, Vol. 7, No. 44. (Oct., 1953), pp. 215-220, Jstor.  

(c) John H. Mathews 2004