{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T15:48:27Z","timestamp":1744904907443},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1992,3,1]],"date-time":"1992-03-01T00:00:00Z","timestamp":699408000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Control Signal Systems"],"published-print":{"date-parts":[[1992,3]]},"DOI":"10.1007\/bf01211974","type":"journal-article","created":{"date-parts":[[2005,2,25]],"date-time":"2005-02-25T22:38:57Z","timestamp":1109371137000},"page":"23-39","source":"Crossref","is-referenced-by-count":12,"title":["Tracking the condition number for RLS in signal processing"],"prefix":"10.1007","volume":"5","author":[{"given":"Daniel J.","family":"Pierce","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert J.","family":"Plemmons","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4978-8","volume-title":"Adaptive Signal Processing","author":"S. T. Alexander","year":"1986","unstructured":"S. T. Alexander,Adaptive Signal Processing, Springer-Verlag, New York, 1986."},{"key":"CR2","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0024-3795(88)90158-9","volume":"98","author":"S. T. Alexander","year":"1988","unstructured":"S. T. Alexander, C.-T. Pan, and R. J. Plemmons, Analysis of a recursive least squares hyperbolic rotation scheme for signal processing,Linear Algebra Appl.,98 (1988), 3?40.","journal-title":"Linear Algebra Appl."},{"key":"CR3","volume-title":"Adaptive Control","author":"K. J. \u00c5str\u00f6m","year":"1989","unstructured":"K. J., \u00c5str\u00f6m and B. Wittenmark,Adaptive Control, Addison-Wesley, Reading, MA, 1989."},{"key":"CR4","volume-title":"Factorization Methods for Discrete Sequential Estimation","author":"G. J. Bierman","year":"1977","unstructured":"G. J. Bierman,Factorization Methods for Discrete Sequential Estimation, Academic Press, New York, 1977."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1137\/0611021","volume":"11","author":"C. H. Bischof","year":"1990","unstructured":"C. H. Bischof, Incremental condition estimation,SIAM J. Matrix Anal. Appl.,11 (1990), 312?322.","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"CR6","unstructured":"C. H. Bischof and G. M. Shroff, On updating signal subspaces, Technical Report, Argonne National Lab., 1989;IEEE Trans. Signal Process (to appear)."},{"key":"CR7","volume-title":"Handbook of Numerical Analysis. Volume 1:Solution of Equations","author":"A. Bj\u00f6rck","year":"1990","unstructured":"A. Bj\u00f6rck, Least squares methods, inHandbook of Numerical Analysis. Volume 1:Solution of Equations (P. G. Ciarlet and J. L. Lions, eds.), Elsevier\/North Holland, Amsterdam, 1990."},{"key":"CR8","series-title":"NATO ASI Series F, vol. 70","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/978-3-642-75536-1_3","volume-title":"Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms","author":"A. Bj\u00f6rck","year":"1991","unstructured":"A. Bj\u00f6rck, Error analysis of least squares algorithms, inNumerical Linear Algebra, Digital Signal Processing and Parallel Algorithms (G. Golub and P. Van Dooren, eds.), pp. 41?73, NATO ASI Series F, vol. 70, Springer-Verlag, Heidelberg, 1991."},{"key":"CR9","unstructured":"P. Bolzern, A multiple forgetting algorithm for robust adaptive estimation,Internat. J. Adaptive Control Signal Process.,5 (1991) (to appear)."},{"key":"CR10","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1109\/TCS.1987.1086209","volume":"34","author":"J. M. Cioffi","year":"1987","unstructured":"J. M. Cioffi, Limited precision effects in adaptive filtering,IEEE Trans. Circuits and Systems,34 (1987), 821?833.","journal-title":"IEEE Trans. Circuits and Systems"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1109\/TASSP.1985.1164585","volume":"33","author":"J. M. Cioffi","year":"1985","unstructured":"J. M. Cioffi and T. Kailath, Windowed fast transversal filters, adaptive algorithms with normalization,IEEE Trans. Acoust. Speech Signal Process.,33 (1985), 607?625.","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"CR12","unstructured":"P. Comon and G. H. Golub, Tracking a few extreme singular values and vectors in signal processing, Stanford Univ. Technical Report NA-89-01,1989."},{"key":"CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02145580","volume":"1","author":"R. Ferng","year":"1991","unstructured":"R. Ferng, G. H. Golub, and R. J. Plemmons, Adaptive Lanczos methods for recursive condition estimation,Numerical Algorithms,1 (1991), 1?20.","journal-title":"Numerical Algorithms"},{"key":"CR14","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1090\/S0025-5718-1974-0343558-6","volume":"28","author":"P. E. Gill","year":"1974","unstructured":"P. E. Gill, G. H. Golub, W. Murray, and M. A. Saunders, Methods for modifying matrix factorizations,Math. Comp.,28 (1974), 505?535.","journal-title":"Math. Comp."},{"key":"CR15","volume-title":"Matrix Computations","author":"G. H. Golub","year":"1989","unstructured":"G. H. Golub and C. Van Loan,Matrix Computations, 2nd edn., Johns Hopkins University Press, Baltimore, MD, 1989.","edition":"2nd edn."},{"key":"CR16","volume-title":"Adaptive Filter Theory","author":"S. Haykin","year":"1986","unstructured":"S. Haykin,Adaptive Filter Theory, Prentice-Hall, Englewood Cliffs, NJ, 1986."},{"key":"CR17","unstructured":"C. S. Henkel, M. T. Heath, and R. J. Plemmons, Chokesky downdating on a hypercube, inHypercube Concurrent Computers and Applications (G. Fox, ed.), pp. 1592?1598, ACM Press, 1988."},{"key":"CR18","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1137\/0912005","volume":"12","author":"C. S. Henkel","year":"1990","unstructured":"C. S. Henkel and R. J. Plemmons, Recursive least squares computations on a hypercube multiprocessor using the covariance factorization,SIAM J. Sci. Statist. Comput.,12 (1990), 95?106.","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"CR19","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1137\/1029112","volume":"29","author":"N. J. Higham","year":"1987","unstructured":"N. J. Higham, A survey of condition estimators for triangular matrices,SIAM Rev.,29 (1987), 575?596.","journal-title":"SIAM Rev."},{"key":"CR20","unstructured":"Y. H. Hu, Adaptive methods for real time Pisarenko spectrum estimation,Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Tampa, FL, 1985, pp. 105?109."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1109\/TASSP.1987.1165145","volume":"35","author":"F. Milinazzo","year":"1987","unstructured":"F. Milinazzo, C. Zala, and I. Barrodale, On the rate of growth of condition numbers for convolution matrices,IEEE Trans. Acoust. Speech Signal Process.,35 (1987), 471?475.","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"CR22","volume-title":"Pro-Matlab Users Guide","author":"C. Moler","year":"1987","unstructured":"C. Moler, J. Little, and S. Bangert,Pro-Matlab Users Guide, The Mathworks, Sherborn, MA, 1987."},{"key":"CR23","unstructured":"M. Moonen, P. Van Dooren, and J. Vanderwalle, An SVD updating algorithm for subspace tracking, preprint, 1989."},{"key":"CR24","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1109\/TAC.1975.1100994","volume":"20","author":"M. Morf","year":"1975","unstructured":"M. Morf and T. Kailath, Square root algorithms and least squares estimation,IEEE Trans. Automat. Control,20 (1975) 487?497.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR25","first-page":"109","volume":"27","author":"C.-T. Pan","year":"1989","unstructured":"C.-T. Pan and R. J. Plemmons, Least squares modifications with inverse factorizations: parallel implications,Comp. Appl. Math.,27 (1989), 109?127.","journal-title":"Comp. Appl. Math."},{"key":"CR26","doi-asserted-by":"crossref","unstructured":"D. J. Pierce and R. J. Plemmons, Fast adaptive condition estimation,SIAM J. Matrix Anal. Appl.,13 (1992) (to appear).","DOI":"10.1137\/0613021"},{"key":"CR27","first-page":"495","volume-title":"Signal Processing, Scattering and Operator Theory, and Numerical Methods","author":"R. J. Plemmons","year":"1990","unstructured":"R. J. Plemmons, Recursive least squares computations, inSignal Processing, Scattering and Operator Theory, and Numerical Methods M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, eds.), pp. 495?502, Birkh\u00e4user, Cambridge, MA, 1990."},{"key":"CR28","volume-title":"Adaptive Control: Stability, Convergence, and Robustness","author":"S. Sastry","year":"1989","unstructured":"S. Sastry and M. Bodson,Adaptive Control: Stability, Convergence, and Robustness, Prentice-Hall, Englewood Cliffs, NJ, 1989."},{"key":"CR29","unstructured":"G. M. Shroff and C. H. Bischof, Adaptive condition estimation for rank-one updates of QR factorizations, Technical Report, Argonne National Lab., 1989;SIAM J. Matrix Anal. Appl. (to appear)."},{"key":"CR30","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1109\/TAC.1986.1104128","volume":"31","author":"M. Verhaegen","year":"1986","unstructured":"M. Verhaegen and P. Van Dooren, Numerical aspects of different Kalman filter implementations,IEEE Trans. Automat. Control,31 (1986), 907?917.","journal-title":"IEEE Trans. Automat. Control"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211974.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01211974\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211974","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T09:45:14Z","timestamp":1556790314000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01211974"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,3]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1992,3]]}},"alternative-id":["BF01211974"],"URL":"https:\/\/doi.org\/10.1007\/bf01211974","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,3]]}}}