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Original Articles

Systolic SVD and QR Decomposition by Householder Reflections

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Pages 417-439 | Published online: 15 Sep 2010

  • Gu?ev , M. and Tasic , J. 1992 . “Comparative analysis of methods for broadcast elimination.” . Parallel Computing , 18 : 852 – 866 .
  • Guu+0161ev , M. and Tasiu+010d , J. "A new method for data broadcast elimination,” . Parallel Computing 91, Int. Conf. London. North Holland .
  • Gu?ev , M. and Evans , D.J. 1997 . “Algorithm transformations for the data dependence method,” . Int. J. Camp. Math. , 65 : 19 – 56 .
  • Gu?ev , M. and Evans , D. J. 1992 . “Elimination of the computational broadcast, and application to the QR decomposition algorithm,” . in Int. J. Comp. Math. , 74 : 440 – 47 .
  • Karp , R.M. , Miller , R.E. and Winograd , S. 1967 . “The organization of computations for uniform recurrence equations,” . J. ACM , 14 : 563 – 590 .
  • Wong , Y. and Delosme , J.-M. May 1988 . “Broadcast removal in systolic algorithms,” . In Int. Conf. Systolic Arrays Edited by: Bromley , K. , Kung , S.-Y. and Swaitzlander , E. May , 403 – 412 . San Diego, California, , USA
  • Rajopadhye , S.V and Fujimoto , R.M. 1990 . “Synthesizing systolic arrays from recurrence equations,” . Parallel Computing , 16 (14} ) : 163 – 189 .
  • Golub , G.H. and Loan , C.F.V . 1989 . Matrix Computations , Second edition , Baltimore, MD : John Hopkins University Press .
  • Wilkinson , J.H. 1985 . The Algebraic Eigenvalue Problem , London : Oxford University Press .
  • Kung , S.Y. , Whitehouse , H.J. and Kailath , T. , eds. 1985 . VLSI, and Modern Signal Processing , Prentice-Hall .
  • Vaccaro , R. , ed. 1991 . SVD. and Signal Processing, II, Algorithms, Analysis, and Application , B.V. : Elsevier Science Publishers .
  • Golub , G.H. and Dooren , P.V. , eds. 1991 . Numerical Linear Algebra, Digital Signal Processing. and Parallel Algorithms , Springer Verlag .
  • Hammarling , S. 1991 . “Parallel algorithms for singular value problems,” . In Numerical Linear Algebra, Digital Signal Processing, and Parallel Algorithms , Edited by: Golub , G. H. and Dooren , P. V. 173 – 187 . Springer Verlag .
  • Chan , T.F. 1982 . “An improved algorithm for computing die singular value decomposition,” . ACM Trans. Math. Soft. , 8 : 72 – 83 .
  • Luk , F.T. 1986 . “A triangular processor array for computing singular values,” . Linear Algebra, and its Applications , 77 : 259 – 273 .
  • Gentleman , G.T. and Rung , H.T. "Matrix triangularization by systolic arrays,” . Proc. SPIE Real-Time Signal Processing IV . Vol. 298 , pp. 19 – 26 .
  • Ahmed , H.M. , Delosme , J.-M. and Morf , M. 1982 . “Highly concurrent structures for matrix arithmetic, and signal processing,” . IEEE Computer , 15 Jan : 65 – 82 .
  • Gu?ev , M. and Evans , D.J. Feb. 1992 . “Localization of 2#1 output algorithms,” . Tech. Rep. 681 Feb. , Loughborough University of Technology, PARC, Dept of Computer Studies .
  • Annaratone , M. , Arnould , E. , Gross , T. , Kung , H.T. , Lam , M. , Menzilciogiy , O. and Web , J.A. 1987 . “The WARP computer: Architecture, implementation, and performance,” . IEEE Trans. Computers , C-36 Dec. : 1523 – 1538 .
  • Heller , D. and Ipsen , I.C.F. 1983 . “Systolic networks for orthogonaldecompositions,” . SIAM J. Sci. Stat. Computing , 4 June : 261 – 269 .

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