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Mathematics Structured matrix computations via randomizationtheir analysisand applications PURDUE UNIVERSITY Jianlin Xia XiYuanzheThis dissertation presents several fast and stable algorithms for both dense and sparse matrices based on rank structured matrix techniques. In recent years, researchers have found ...
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他发起组织了工业与应用数学国际会议(International Congress on Industrial and Applied Mathematics, ICIAM)。 Charles F. Van Loan 著名数值分析专家。美国康奈尔大学教授,曾任该校计算机科学系主任。他于1973年在密歇根大学获得博士学位,师从Cleve Moler。 喜欢读"Matrix Computations"的人也喜欢的电子书 ··· 支...
^Golub, Gene; Van Loan, Charles F., Matrix Computations. 3rd, Baltimore: The Johns Hopkins University Press. 1996: 56-57,ISBN0-8018-5413-X ^Horn, =Roger; Johnson, Charles, Matrix Analysis, Cambridge University Press. 1985,ISBN0-521-38632-2 ...
The first-order autoregressive (AR(1)) correlation structure is important for applications in time series modeling and for repeated measures analysis. The AR(1) model provides a simple situations where measurements (on the same subject) that are closer in time are correlated more strongly than mea...
Matrix Computations (4th Edition) The Bibliography G.H. Golub and C.F. Van Loan December 1, 2012 2 GVL4 Bibliography J.O. Aasen (1971). “On the Reduction of a Symmetric Matrix to Tridiagonal Form,” BIT 11, 233–242. N.N. Abdelmalek (1971). “Roundoff Error Analysis for Gram...
Matrix multiplication is a fundamental aspect of Linear Algebra and it is an ubiquitous computation within High Performance Computing (HPC) Applications. Since the introduction of AMD’s CDNA Architecture, Generalized Matrix Multiplication (GEMM) computations are now hardware-accelerated through Matrix Core...
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[1] Amestoy, P. R., T. A. Davis, and I. S. Duff, “An Approximate Minimum Degree Ordering Algorithm,”SIAM Journal on Matrix Analysis and Applications, Vol. 17, No. 4, Oct. 1996, pp. 886-905. [2] Barrett, R., M. Berry, T. F. Chan, et al.,Templates for the Solution of...