1. A triangle inequality in Hilbert modules over matrix algebras
   Farenick, D. R.; Psarrakos, P. J.
   Linear Algebra and Its Applications, 2002, vol. 341, no. ER1-3, pp. 57-67, Ingenta.   
2. The Filbert matrix  
   Richardson, Thomas M.
   Fibonacci Quart. 39 (2001), no. 3, 268--275. , MathSciNet.  
3. 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.
4. Composition operators and the Hilbert matrix.
   Diamantopoulos, E.; Siskakis, Aristomenis G.
   Studia Math. 140 (2000), no. 2, 191--198, MathSciNet.  
5. 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.
6. A fast sequential and parallel algorithm for multiplying quasi-Hilbert matrices and general matrices. (Chinese)
   Jiang, Chang Jun; Yan, Chun Gang
   Shandong Kuangye Xueyuan Xuebao 9 (1990), no. 3, 286--288, MathSciNet.  
7. On computational complexity for the multiplication of generalized Hilbert matrices with vectors and solution of certain generalized Hilbert linear systems.
   Lu, Hao
   Chinese Sci. Bull. 35 (1990), no. 12, 974--978, MathSciNet.  
8. On the spectrum of the Bergman-Hilbert matrix. II.
   Davis, Chandler; Ghatage, Pratibha
   Canad. Math. Bull. 33 (1990), no. 1, 60--64, MathSciNet.  
9. Extremality with respect to the estimates of Dubreil-Campanella: the Hilbert matrix.
   Beccari, G.; Davis, E.; Massaza, C.
   Commutative algebra and algebraic geometry, I (Italian) (Turin, 1990). Rend. Sem. Mat. Univ. Politec. Torino 48 (1990), no. 4, 457--481 (1993), MathSciNet.  
10. Generalized Hilbert matrices and vector products, and the computational complexity of solutions to a class of generalized Hilbert equations. (Chinese)
    Lu, Hao
    Kexue Tongbao (Chinese) 34 (1989), no. 13, 963--966, MathSciNet.  
11. A fast algorithm for the multiplication of generalized Hilbert matrices with vectors.
    Gerasoulis, A.
    Math. Comp. 50 (1988), no. 181, 179--188, MathSciNet.  
12. Cholesky decomposition of the Hilbert matrix.
    Hitotumatu, Sin
    Japan J. Appl. Math. 5 (1988), no. 1, 135--144, MathSciNet.  
13. On the spectrum of the Bergman-Hilbert matrix.
    Ghatage, Pratibha G.
    Linear Algebra Appl. 97 (1987), 57--63, MathSciNet.  
14. Conjectures related to the Hilbert matrix.
    Sawyer, W. W.
    Bull. Inst. Math. Appl. 22 (1986), no. 3-4, 38--40, MathSciNet.  
15. A fast algorithm for the multiplication of generalized Hilbert matrices with vectors.
    Gerasoulis, Apostolos
    Transactions of the fourth Army conference on applied mathematics and computing (Ithaca, N.Y., 1986), 1285--1295, ARO Rep., 87-1, U.S. Army Res. Office, Research Triangle Park, NC, 1987, MathSciNet.  
16. Letter to the editor: "Tricks or treats with the Hilbert matrix by M. D. Choi. "
    Weintraub, Steven H.
    Amer. Math. Monthly 93 (1986), no. 4, 324, MathSciNet.  
17. Tricks or Treats with the Hilbert Matrix  
    Man-Duen Choi  
    American Mathematical Monthly, Vol. 90, No. 5. (May, 1983), pp. 301-312, Jstor.  
18. A remark on Hilbert's matrix.    
    Grünbaum, F. Alberto     
    Linear Algebra Appl. 43 (1982), 119--124, MathSciNet.  
19. Some numerical problems in connection with the Hilbert matrix. (Swedish)    
    Fröberg, Carl-Erik    
    Nordisk Mat. Tidskr. 25/26 (1978), no. 3-4, 188--190, 210, MathSciNet.  
20. An application of Legendre functions in the inversion of a Hilbert matrix.
    Ainsworth, O. R.; Liu, C. K.
    J. Franklin Inst. 299 (1975), 297--299, MathSciNet.  
21. The Hilbert matrix as a singular integral operator.
    Rovnyak, James
    Acta Sci. Math. (Szeged) 31 (1970), 347--350, MathSciNet.  
22. Eigenvalues and eigenvectors of Hilbert matrices of order 3 through 10.
    Fettis, Henry E.; Caslin, James C.
    Math. Comp. 21 1967 431--441, MathSciNet.  
23. 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.  
24. 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.  
25. 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.  
26. On the doubly infinite Hilbert matrix.
    Hill, C. K.
    J. London Math. Soc. 36 1961 403--423, MathSciNet.  
27. Computational problems concerning the Hilbert matrix.
    Todd, John
    J. Res. Nat. Bur. Standards Sect. B 65B 1961 19--22, MathSciNet.  
28. On the singly-infinite Hilbert matrix.
    Hill, C. K.
    J. London Math. Soc. 35 1960 17--29, MathSciNet.  
29. 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.  
30. On the Hilbert Matrix, II  
    Marvin Rosenblum  
    Proceedings of the American Mathematical Society, Vol. 9, No. 4. (Aug., 1958), pp. 581-585, Jstor.  
31. On the Hilbert Matrix, I  
    Marvin Rosenblum  
    Proceedings of the American Mathematical Society, Vol. 9, No. 1. (Feb., 1958), pp. 137-140, Jstor.  
32. On the Hilbert Matrix  
    Tosio Kato  
    Proceedings of the American Mathematical Society, Vol. 8, No. 1. (Feb., 1957), pp. 73-81, Jstor.  
33. On the Spectrum of Hilbert's Matrix  
    Wilhelm Magnus  
    American Journal of Mathematics, Vol. 72, No. 4. (Oct., 1950), pp. 699-704, Jstor.  
34. Effect of propagated error on inverse of Hilbert matrix.    
    Atta, Susie E.     
    J. Assoc. Comput. Mach. 4 (1957), 36--40, MathSciNet.  
35. The condition of the finite segments of the Hilbert matrix.
    Todd, John
    Contributions to the solution of systems of linear equations and the determination of eigenvalues, pp. 109--116.
    National Bureau of Standards Applied Mathematics Series No. 39, U. S. Government Printing Office, Washington, D. C., 1954, MathSciNet.  
36. Tables of inverses of finite segments of the Hilbert matrix.
    Savage, Richard; Lukacs, Eugene
    Contributions to the solution of systems of linear equations and the determination of eigenvalues, pp. 105--108. National Bureau of Standards Applied Mathematics Series No. 39, U. S. Government Printing Office, Washington, D. C., 1954, MathSciNet.  
37. On the reciprocal of a segment of a generalized Hilbert matrix.
    Collar, A. R.
    Proc. Cambridge
    Philos. Soc. 47, (1951). 11--17, MathSciNet.  
38. A remark concerning the characteristic roots of the finite segments of the Hilbert matrix.
    Taussky, Olga
    Quart. J. Math., Oxford Ser. 20, (1949). 80--83, MathSciNet.  
39. 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