Bibliography for the Hilbert Matrix

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  1. The Filbert matrix  
    Richardson, Thomas M.
    Fibonacci Quart. 39 (2001), no. 3, 268--275. , MathSciNet.  
  2. Pin-Pointing Solution of Ill-Conditioned Square Systems of Linear Equations  
    K. Yu. VolokhO. Vilnay  
    Applied Mathematics Letters, Volume 13, Issue 7, October 2000, Pages 119-124, ScienceDirect.
  3. A Generalized Hilbert Matrix Problem and Confluent Chebyshev-Vandermonde Systems
    Lu, H.
    SIAM Journal on Martix Analysis and Applications, v 19, n 1, 1998, p 253, Compendex.
  4. A fast algorithm for the multiplication of generalized Hilbert matrices with vectors.
    Gerasoulis, A.
    Math. Comp. 50 (1988), no. 181, 179--188, MathSciNet.  
  5. Conjectures related to the Hilbert matrix.
    Sawyer, W. W.
    Bull. Inst. Math. Appl. 22 (1986), no. 3-4, 38--40, MathSciNet.  
  6. Tricks or Treats with the Hilbert Matrix  
    Man-Duen Choi  
    American Mathematical Monthly, Vol. 90, No. 5. (May, 1983), pp. 301-312, Jstor.  
  7. A remark on Hilbert's matrix.    
    Grünbaum, F. Alberto     
    Linear Algebra Appl. 43 (1982), 119--124, MathSciNet.  
  8. Eigenvalues and eigenvectors of Hilbert matrices of order 3 through 10.
    Fettis, Henry E.; Caslin, James C.
    Math. Comp. 21 1967 431--441, MathSciNet.  
  9. On the Inversion of a Hilbert Type Matrix  
    William F. Trench, Perry A. Scheinok  
    SIAM Review, Vol. 8, No. 1. (Jan., 1966), pp. 57-61, Jstor.  
  10. On Inverses of Finite Segments of the Generalized Hilbert Matrix (in Technical Notes and Short Papers)  
    Jean L. Lavoie  
    Mathematics of Computation, Vol. 18, No. 85. (Jan., 1964), pp. 141-143, Jstor.  
  11. Note on Latent Roots and Vectors of Segments of the Hilbert Matrix (in Technical Notes and Short Papers)  
    H. H. Denman, R. C. W. Ettinger  
    Mathematics of Computation, Vol. 16, No. 79. (Jul., 1962), pp. 370-371, Jstor.  
  12. Two Theorems on Inverses of Finite Segments of the Generalized Hilbert Matrix  
    Richard B. Smith  
    Mathematical Tables and Other Aids to Computation, Vol. 13, No. 65. (Jan., 1959), pp. 41-43, Jstor.  
  13. On the Hilbert Matrix, II  
    Marvin Rosenblum  
    Proceedings of the American Mathematical Society, Vol. 9, No. 4. (Aug., 1958), pp. 581-585, Jstor.  
  14. On the Hilbert Matrix, I  
    Marvin Rosenblum  
    Proceedings of the American Mathematical Society, Vol. 9, No. 1. (Feb., 1958), pp. 137-140, Jstor.  
  15. On the Hilbert Matrix  
    Tosio Kato  
    Proceedings of the American Mathematical Society, Vol. 8, No. 1. (Feb., 1957), pp. 73-81, Jstor.  
  16. On the Spectrum of Hilbert's Matrix  
    Wilhelm Magnus  
    American Journal of Mathematics, Vol. 72, No. 4. (Oct., 1950), pp. 699-704, Jstor.  
  17. Hilbert's Double Series Theorem and Principal Latent Roots of the Resulting Matrix  
    R. A. Fairthorne, J. C. P. Miller  
    Mathematical Tables and Other Aids to Computation, Vol. 3, No. 26. (Apr., 1949), pp. 399-400, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005