Bibliography for Householder's Transformation

unabridged

 

  1. Complex QR decomposition algorithm using recursive householder transformation
    Hu, Bing-Xin ; Li, Ning; Lu, Jun
    Xitong Fangzhen Xuebao / Journal of System Simulation, v 16, n 11, November, 2004, p 2432-2434
    , Compendex.
  2. B G-reflectors: analogues of Householder transformations in scalar product spaces.
    Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
    Linear Algebra and Its Applications, v 385, n 1-3, Jul 1, 2004, p 187-213, MathSciNet.  
  3. On subspace system identification algorithms implemented through sequences of modified householder algorithms
    Delgado, Catalina J. M.; Lopes Dos Santos, P.
    Proceedings of the International Conference on Modeling, Simulation and Visualization Methods, MSV'04 and Proceddings of the Int. Conference on Algorithmic Mathematics and Comput. Sci., AMCS'04, 2004, p 427-432
    , Compendex.
  4. Orthonormal integrators based on Householder and Givens transformations
    Dieci, Luca; Van Vleck, Erik S.
    Future Generation Computer Systems, v 19, n 3, April, 2003, p 363-373
    , Compendex.
  5. On an Efficient Implementation of the Multistage Wiener Filter Through Householder Reflections for DS-CDMA Interference Suppression
    De Campos, Marcello L.R.; Werner, Stefan; Apolinario Jr., Jose A.
    Global Telecommunications Conference, 2003. GLOBECOM '03. IEEE , Volume: 4 , 1-5 Dec. 2003, pp. 2350 - 2354 vol.4, Compendex.
  6. A new point of view for the Householder matrix by using matrix exponential.
    Chen, J. T.; Kuo, S. R.; Lee, C. F.
    Int. J. Appl. Math. 7 (2001), no. 3, 289--308, MathSciNet.  
  7. The use of Householder reflection in place of Givens rotation in matrix decomposition
    Chandruptla T.R.; Constans E.
    Advances in Engineering Software, August 2001, vol. 32, no. 8, pp. 673-674(2), Ingenta.  
  8. Householder transformations, and implicit deflation for fast and reliable dominant singular subspace computation.
    Fierro, Ricardo D. Lanczos  
    Numer. Linear Algebra Appl. 8 (2001), no. 4, 245--264, MathSciNet.  
  9. Numerically-robust adaptive subspace tracking using Householder transformations
    Douglas, S.C.;
    Sensor Array and Multichannel Signal Processing Workshop. 2000. Proceedings of the 2000 IEEE , 16-17 March 2000, pp. 499 - 503, IEEE Explore.  
  10. Parser adaptation via householder transform
    Luo, Xiaoqiang
    ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v 2, 2000, p 1225-1228, Compendex.
  11. Self-stabilized minor subspace extraction algorithm based on Householder transformation
    Abed-Meraim, K.; Attallah, S.; Chkeif, A.; Hua, Y.;
    Statistical Signal and Array Processing, 2000. Proceedings of the Tenth IEEE Workshop on , 14-16 Aug. 2000, pp. 90 - 93, IEEE Explore.  
  12. A method for determining the Householder transform in the algorithm VGMRES. (Chinese)    
    Xu, Ming Hua    
    Nanjing Daxue Xuebao Shuxue Bannian Kan 17 (2000), no. 1, 140--146, MathSciNet.  
  13. An efficient parallel version of the householder-QL matrix diagonalisation algorithm
    Quintana M.G.; Dalton H.; Reeve J.S.; Heath M.
    Parallel Computing, March 1999, vol. 25, no. 3, pp. 311-319(9), Ingenta.  
  14. OMC for Householder reflections.
    Drury, S. W.
    Linear Algebra Appl. 298 (1999), no. 1-3, 159--169, MathSciNet.  
  15. Block Householder Transformation for Parallel QR Factorization
    Rotella F.; Zambettakis I.
    Applied Mathematics Letters, May 1999, vol. 12, no. 4, pp. 29-34(6), Ingenta.  
  16. Scalable parallel implementations of the GMRES algorithm via Householder reflections
    Sosonkina, M.; Allison, D.C.S.; Watson, L.T.;
    Parallel Processing, 1998. Proceedings. 1998 International Conference on , 10-14 Aug. 1998, pp. 396 - 404, IEEE Explore.  
  17. Stability of Householder QR factorization for weighted least squares problems.
    Cox, A. J.; Higham, N. J.
    Numerical analysis 1997 (Dundee), 57--73, Pitman Res. Notes Math. Ser., 380, Longman, Harlow, 1998, MathSciNet.  
  18. A note on “On-line parameter identification algorithms based on Householder transformation”
    Niehsen, W.; Owenier, K.-A.;
    Signal Processing, IEEE Transactions on [see also Acoustics, Speech, and Signal Processing, IEEE Transactions on] , Volume: 45 , Issue: 8 , Aug. 1997, pp. 2121 - 2125, IEEE Explore.  
  19. The complex Householder transform
    Kuo-Liang Chung; Wen-Ming Yan;
    Signal Processing, IEEE Transactions on [see also Acoustics, Speech, and Signal Processing, IEEE Transactions on] , Volume: 45 , Issue: 9 , Sept. 1997, pp. 2374 - 2376, Compendex.  
  20. Linear least squares solutions by Householder transformations with column pivoting on a parallel machine
    Sangback Ma;
    High Performance Computing on the Information Superhighway, 1997. HPC Asia '97 , 28 April-2 May 1997, pp. 134 - 136, IEEE Explore.  
  21. Computing Balanced Realizations Of Transfer Function Matrices Using Householder Transformations.
    Fairman, Frederick W.; De Abreu-Garcia, J. Alex
    Proceedings of the IEEE Conference on Decision and Control Including The Symposium on Adaptive Pro, 1987, p 471-475, Compendex.
  22. A block representation for products of hyperbolic Householder transform.
    Yan, Wen-Ming; Chung, Kuo-Liang
    Appl. Math. Lett. 10 (1997), no. 1, 109--112, MathSciNet.  
  23. Parallel algorithm for Householder Transformation with applications to ill-conditioned problems
    Lu, Mi; Liu, Kunlin
    International Journal of Computer Mathematics, v 64, n 1-2, 1997, p 89-101
    , Compendex.
  24. Householder bidiagonalization on parallel computers with dynamic ring architecture
    Peng, Shietung; Sedukhin, Stanislav; Sedukhin, Igor
    Parallel Algorithms/Architecture Synthesis, 1997. Proceedings. Second Aizu International Symposium , 17-21 March 1997, pp. 182 - 191, IEEE Explore.  
  25. An adaptive LS algorithm based on orthogonal Householder transformations
    Rontogiannis, Athanasios A.; Theodoridis, Sergios;
    Electronics, Circuits, and Systems, 1996. ICECS '96., Proceedings of the Third IEEE International Conference on , Volume: 2 , 13-16 Oct. 1996, pp. 860 - 863 vol.2, Compendex.  
  26. Sparse Householder QR factorization on a mesh
    Doallo, R.; Tourino, J.; Zapata, E.L.;
    Parallel and Distributed Processing, 1996. PDP '96. Proceedings of the Fourth Euromicro Workshop on , 24-26 Jan. 1996, pp. 33 - 39, IEEE Explore.  
  27. Real tridiagonalization of Hermitian matrices by modified Householder transformation.
    Shukuzawa, Osamu; Suzuki, Toshio; Yokota, Ichiro
    Proc. Japan Acad. Ser. A Math. Sci. 72 (1996), no. 5, 102--103, MathSciNet.  
  28. Householder CORDIC algorithms
    Shen-Fu Hsiao; Delosme, J.-M.;
    Computers, IEEE Transactions on , Volume: 44 , Issue: 8 , Aug. 1995, pp. 990 - 1001, IEEE Explore.  
  29. A multidimensional Householder QR algorithm for transducer placement in active noise control systems
    Heck, L.P.;
    Applications of Signal Processing to Audio and Acoustics, 1995., IEEE ASSP Workshop on , 15-18 Oct. 1995, pp. 57 - 60, IEEE Explore.  
  30. Subspace rotation using modified householder transforms and projection matrices - robustness of DOA algorithms
    Venkaiah, V. Ch.; Paulraj, A.
    Signal Processing, v 36, n 1, Mar, 1994, p 91-98
    , Compendex.
  31. On-line parameter identification algorithms based on Householder transformation
    Liu, Zhenug-She
    IEEE Transactions on Signal Processing , Volume: 41 , Issue: 9 , Sept. 1993, pp. 2863 - 2871, Compendex.  
  32. Parallel one-sided Householder transformations for eigenvalues computation
    Ralha, R.M.S.;
    Parallel and Distributed Processing, 1993. Proceedings. Euromicro Workshop on , 27-29 Jan. 1993, pp. 218 - 221, IEEE Explore.  
  33. Block RLS using row Householder reflections.
    Boja'nczyk, Adam W.; Nagy, James G.; Plemmons, Robert J.
    Linear Algebra Appl. 188/189 (1993), 31--61, MathSciNet.  
  34. Parallel algorithm for Householder's tridiagonalization of a symmetric matrix
    Cabaleiro, J.C.; Rivera, F.F.; Plata, O.G.; Zapata, E.L.
    Cybernetics and Systems, v 23, n 3-4, May-Aug, 1992, p 345-357
    , Compendex.
  35. Modification of the Householder method based on the compact WY representation.
    Puglisi, Chiara
    SIAM J. Sci. Statist. Comput. 13 (1992), no. 3, 723--726, MathSciNet.  
  36. Householder reduction of linear equations
    Hansen, Per Brinch  
    ACM Computing Surveys, v 24, n 2, Jun, 1992, p 185-194
    , Compendex.
  37. Householder transformation for the regularized least square problem on iPSC/860
    Zhu, Jianping  
    Parallel Processing Symposium, 1992. Proceedings., Sixth International , 23-26 March 1992, pp. 433 - 436, IEEE Explore.  
  38. Stability analysis of a Householder-based algorithm for downdating the Cholesky factorization.
    Boja'nczyk, Adam W.; Steinhardt, Allan O.
    SIAM J. Sci. Statist. Comput. 12 (1991), no. 6, 1255--1265, MathSciNet.  
  39. The CORDIC Householder algorithm
    Hsiao, S.-F.; Delosme, J.-M.;
    Computer Arithmetic, 1991. Proceedings., 10th IEEE Symposium on , 26-28 June 1991, pp. 256 - 263, IEEE Explore.  
  40. Generalized householder transform and its application in signal eigenanalysis
    She, Zhishun; Zhu, Zhaoda
    Journal of Nanjing Aeronautical Institute (English Edition), v 8, n 1, Oct, 1991, p 89-94
    , Compendex.
  41. Optical Householder implementation for adaptive phased array radar processing
    Baranoski, Edward J.; Casasent, David P.
    Proceedings of SPIE - The International Society for Optical Engineering, v 1296, 1990, p 414-425
    , Compendex.
  42. Hyperbolic Householder algorithms for factoring structured matrices.
    Cybenko, G.; Berry, M.
    SIAM J. Matrix Anal. Appl. 11 (1990), no. 4, 499--520, MathSciNet.  
  43. Parallel QR factorization by Householder and modified Gram-Schmidt algorithms
    O'Leary, Dianne P.; Whitman, Peter
    Parallel Computing, v 16, n 1, Nov, 1990, p 99-112
    , Compendex.
  44. The fast Householder filters-RLS adaptive filter
    Cioffi, J.;
    Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on , 3-6 April 1990, pp. 1619 - 1622 vol.3, IEEE Explore.  
  45. A storage-efficient WY representation for products of Householder transformations.
    Schreiber, Robert; Van Loan, Charles
    SIAM J. Sci. Statist. Comput. 10 (1989), no. 1, 53--57, MathSciNet.  
  46. Distributed orthogonal factorization: Givens and Householder algorithms.
    Pothen, Alex; Raghavan, Padma
    SIAM J. Sci. Statist. Comput. 10 (1989), no. 6, 1113--1134, MathSciNet.    
  47. Hyperbolic Householder transforms.  
    Rader, Charles M.; Steinhardt, Allan O.    
    SIAM Conference on Linear Algebra in Signals, Systems, and Control (Boston, Mass., 1986). SIAM J. Matrix Anal. Appl. 9 (1988), no. 2, 269--290, MathSciNet.  
  48. A parallel Householder tridiagonalization strategem using scattered square decomposition.
    Chang, H. Y.; Utku, S.; Salama, M.; Rapp, D.
    Parallel Computing, v 6, n 3, Mar, 1988, p 297-311, Compendex.
  49. A parallel Householder tridiagonalization stratagem using scattered row decomposition.
    Chang, H. Y.; Utku, S.; Salama, M.; Rapp, D.
    International Journal for Numerical Methods in Engineering, v 26, n 4, Apr, 1988, p 857-873, MathSciNet.  
  50. On block Householder algorithms for the reduction of a matrix to Hessenberg form
    Dubrulle, A.A.;
    Supercomputing 88. Vol.II: Science and Applications. Proceedings , 14-18 Nov. 1988, pp. 129 - 140 vol.2, IEEE Explore.  
  51. Recursive householder transformation for complex dynamical systems with constraints
    Amirouche, F.M.L.; Jia, Tongyi; Ider, Sitki K.
    Journal of Applied Mechanics, Transactions ASME, v 55, n 3, Sep, 1988, p 729-734
    , Compendex.
  52. Implementation of the GMRES method using Householder transformations.    
    Walker, Homer F.    
    SIAM J. Sci. Statist. Comput. 9 (1988), no. 1, 152--163, MathSciNet.  
  53. Householder transforms in signal processing
    Steinhardt, Allan O.
    ASSP Magazine, IEEE [see also IEEE Signal Processing Magazine] , Volume: 5 , Issue: 3 , July 1988, pp. 4 - 12, Compendex.  
  54. The WY representation for products of Householder matrices.  
    Bischof, Christian; Van Loan, Charles    
    Parallel processing for scientific computing (Norfolk, Va., 1985). SIAM J. Sci. Statist. Comput. 8 (1987), no. 1, S2--S13, MathSciNet.  
  55. The generalized Householder transformation and sparse matrices.
    Kaufman, Linda
    Linear Algebra Appl. 90 (1987), 221--234, MathSciNet.  
  56. Householder reflections versus Givens rotations in sparse orthogonal decomposition.
    George, Alan; Liu, Joseph W. H.
    Linear Algebra Appl. 88/89 (1987), 223--238, MathSciNet.  
  57. Reduction of a symmetric band matrix to tridiagonal form by Householder transformations. (Chinese)
    Wang, Shou Gen
    Comm. Appl. Math. Comput. 1 (1987), no. 1, 89--91, MathSciNet.  
  58. Orthogonal reduction of sparse matrices to upper triangular form using Householder transformations.
    George, Alan; Ng, Esmond
    SIAM J. Sci. Statist. Comput. 7 (1986), no. 2, 460--472, MathSciNet.  
  59. Implementation Of Qr Factorization On The Dap Using Householder Transformations.
    Bowgen, G. S. J.; Modi, J. J.
    Computer Physics Communications, v 37, n 1-3, Jul, 1984, p 167-170
    , Compendex.
  60. Generalized Householder transformation. (Chinese)
    Xue, Yan Cai
    J. Numer. Methods Comput. Appl. 4 (1983), no. 4, 224--228, MathSciNet.  
  61. A discussion of the article: "Skew reflection matrix and the generalization of the Householder transformation" [Math. Numer. Sinica 3 (1981), no. 1, 66--71; MR0645691 (83b:65026)] by Ling Tan and the transformation function. (Chinese)
    Gu, An Hai
    J. Northeast Inst. Tech. 1983, no. 3, 15--20, MathSciNet.  
  62. Givens' method and Householder's method for solution of sparse least squares problem. (Japanese)    
    Tanaka, Teruo    
    Proc. Inst. Statist. Math. 30 (1982), no. 2, 77--93 (1983), MathSciNet.  
  63. Householder/Ql Algorithm For The Functional Eigenproblem.
    Ibidapo-Obe, O.; Sofoluwe, A. B.; Abass, O.
    Advances in Engineering Software, v 4, n 4, Oct, 1982, p 148-151
    , Compendex.
  64. Givens' method and Householder's method for solution of sparse least squares problem. (Japanese)
    Tanaka, Teruo
    Proc. Inst. Statist. Math. 30 (1982), no. 2, 77--93 (1983), MathSciNet.    
  65. A stable method for pseudoinversion using the Householder transform. (Russian)
    Meleshko, V. I.; Serebryakova, O. V.; Vu Kuok Fong
    Dokl. Akad. Nauk Ukrain. SSR Ser. A 1981, no. 7, 68--70, MathSciNet.  
  66. Skew-reflection matrix and the generalization of Householder transformation. (Chinese)
    Tan, Ling
    Math. Numer. Sinica 3 (1981), no. 1, 66--71, MathSciNet.  
  67. Application of Dense Householder Transformation to a Sparse Matrix  
    Linda Kaufman  
    ACM Transactions on Mathematical Software (TOMS) archive, Volume 5 ,  Issue 4  (December 1979), Pages: 442 - 450.  
  68. On the choice of signs for Householder's matrices.
    Danloy, B.
    J. Comput. Appl. Math. 2 (1976), no. 1, 67--69, MathSciNet.  
  69. New Formulation Of The Hypermatrix Householder-Qr Decomposition.
    Dietrich, G.
    Computer Methods in Applied Mechanics and Engineering, v 9, n 3, Nov-Dec, 1976, p 273-280
    , Compendex.
  70. Numerical analysis of the Ortega-Householder algorithm in the complex domain. (Polish)
    Majchrowska, Jana; Smoktunowicz, Alicja
    Mat. Stos. (111) 8 (1976), 55--66, MathSciNet.   
  71. A Note on Implementing the Householder Transformation  
    Nai-Kuan Tsao  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 1. (Mar., 1975), pp. 53-58, Jstor.  
  72. Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems  
    Richard J. Hanson, Charles L. Lawson  
    Mathematics of Computation, Vol. 23, No. 108. (Oct., 1969), pp. 787-812, Jstor.  
  73. Householder's method for complex matrices and eigensystems of hermitian matrices.    
    Mueller, Dennis J.    
    Numer. Math. 8 1966 72--92, MathSciNet.  
  74. An error analysis of Householder's method for the symmetric eigenvalue problem.    
    Ortega, James M.    
    Numer. Math. 5 1963 211--225, MathSciNet.  
  75. Handbook Series Linear Algebra. Householder's method for symmetric matrices.    
    Wilkinson, J. H.    
    Numer. Math. 4 1962 354--361, MathSciNet.  
  76. Householder`s method for the solution of the algebraic eigenproblem.    
    Wilkinson, J. H.    
    Comput. J. 3 1960/1961 23--27, MathSciNet.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005