黄超凡
黄超凡. 三行H-B插值关联矩阵的正则性[J]. 计算数学, 1983, 5(4): 421-429.
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[1] A. Sharma, J. Tzimbalario, Some strongly non-poised H-B problems, J. Math. Anal Appl.,63. 1978,.521--524. [2] E. Passow, Hermite-Birkhoff interpolation: A class of non-poised matrices, J. Math. Anal. Appl.,62, 1978, 140--147. [3] R. Devore,A. Meir, A. Sharma, Strongly and weakly non-poised H-B interpolation problems,Canad. J. Math., 25(1973) , 1040--1050. [4] G. G. Lorentz, S. S. Stangler, K. L. Zeller, Regularity of some special Birkhoff matrices, in "Ap-proximation Theory Ⅱ" (G. G. Lorentz,,C. K. Chui and L. L. Schumaker, Eds.) 405-410,Academic Press, New York, 1976. [5] I. J. Schoenberg, On Hermite-Birkhoff interpolation, J. Math. Anal. Appl., 16(1966) , 538-543. [6] S. Karlin, Total Positivity, Stanford Univ. Press. Stanford, Calif., 1968. [7] D. Ferguson. The question of uniqueness for G. D. Birkhoff interpolation problems,J. Appro-ximation Theory, 2(1968) , 1--28. [8] G. G. Lorentz, The Birkhoff interpolation problem: New methods and results, in Proceedings Int Conferonce, Oberwolfach Birkhauser Verlag, Basel 1974, 481--501. [9] S. Karlin, J. M. Karon, Poised and non-poised Hermite-Birkhoff Interpolation,Indiana Univ.Math. J, 21(1972) ,1131-1170. [10] A. Sharma, Some poised and non-poised problems of interpolation. SIAM Rew, 14(1972) , 129--151. [11] G. G. Lorentz, Birkhoff Interpolation Problems, CNA-102,University of Texas, Austin,July,1975. [12] G. G. Lorentz, S. D. Riemenschneider, Recent progress in Birkhoff interpolation,in "Approximation Theory and Functional Analysis" (J. B. Prolla Ed.) Mathematics Stuides No. 35, pp.187--236, North Holland, Amsterdam, 1979, [13] G. G. Lorentz, K. L. Zeller, Birkhoff inte polation problem: Coalesence of rows, Arch. Math.(Basel), 26(1975) , 189-192. [14] G. G. Lorentz,Birkhoff interpolation and the problem of free matrices. J. Approximation Theory,6(1972) . 283--290. [15] 黄超凡,叶正麟,H-B插值问题,待发表. |
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