Download or read book FAST ALGORITHMS FOR MULTIDIMENSIONAL LINEAR LEAST SQUARES PROBLEMS LEAST SQUARES PROBLEMS written by WEN-HSIEN FANG and published by . This book was released on 1991 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: raster. Generalizations of the lattice filter and spectral factorization problems to the polar raster are also addressed.
Download or read book Fast Algorithms for Structured Least Squares and Total Least Squares Problems written by and published by DIANE Publishing. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book S ngs llskapet O D s ledam ter written by and published by . This book was released on 1903 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solving Least Squares Problems written by Charles L. Lawson and published by SIAM. This book was released on 1995-12-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.
Download or read book Numerical Methods for Least Squares Problems written by Ake Bjorck and published by SIAM. This book was released on 1996-12-01 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares: the principal tool for reducing the influence of errors when fitting models to given observations.
Download or read book Fast Algorithms for Solving Recursive Least Squares Problem written by Xiao-Dong Luo and published by . This book was released on 1991 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Total Least Squares Problem written by Sabine Van Huffel and published by SIAM. This book was released on 1991-01-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained.
Download or read book Efficient Online Learning Algorithms for Total Least Square Problems written by Xiangyu Kong and published by Springer Nature. This book was released on with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Least Squares Computations written by Farebrother and published by Routledge. This book was released on 2018-05-02 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting numerous algorithms in a simple algebraic form so that the reader can easilytranslate them into any computer language, this volume gives details of several methodsfor obtaining accurate least squares estimates. It explains how these estimates may beupdated as new information becomes available and how to test linear hypotheses.Linear Least Squares Computations features many structured exercises that guidethe reader through the available algorithms, plus a glossary of commonly used terms anda bibliography of supplementary reading ... collects "ancient" and modem results onlinear least squares computations in a convenient single source . . . develops the necessarymatrix algebra in the context of multivariate statistics . .. only makes peripheral use ofconcepts such as eigenvalues and partial differentiation .. . interprets canonical formsemployed in computation ... discusses many variants of the Gauss, Laplace-Schmidt,Givens, and Householder algorithms ... and uses an empirical approach for the appraisalof algorithms.Linear Least Squares Computations serves as an outstanding reference forindustrial and applied mathematicians, statisticians, and econometricians, as well as atext for advanced undergraduate and graduate statistics, mathematics, and econometricscourses in computer programming, linear regression analysis, and applied statistics.
Download or read book Linear Least Squares Computations written by Farebrother and published by Routledge. This book was released on 2018-05-02 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting numerous algorithms in a simple algebraic form so that the reader can easilytranslate them into any computer language, this volume gives details of several methodsfor obtaining accurate least squares estimates. It explains how these estimates may beupdated as new information becomes available and how to test linear hypotheses.Linear Least Squares Computations features many structured exercises that guidethe reader through the available algorithms, plus a glossary of commonly used terms anda bibliography of supplementary reading ... collects "ancient" and modem results onlinear least squares computations in a convenient single source . . . develops the necessarymatrix algebra in the context of multivariate statistics . .. only makes peripheral use ofconcepts such as eigenvalues and partial differentiation .. . interprets canonical formsemployed in computation ... discusses many variants of the Gauss, Laplace-Schmidt,Givens, and Householder algorithms ... and uses an empirical approach for the appraisalof algorithms.Linear Least Squares Computations serves as an outstanding reference forindustrial and applied mathematicians, statisticians, and econometricians, as well as atext for advanced undergraduate and graduate statistics, mathematics, and econometricscourses in computer programming, linear regression analysis, and applied statistics.
Download or read book Applied Numerical Linear Algebra written by James W. Demmel and published by SIAM. This book was released on 1997-08-01 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
Download or read book Fast Algorithms for Structural Optimization Least Squares and Other Computations written by R. J. Plemmons and published by . This book was released on 1985 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fast algorithms for solving large-scale structural optimization and least squares problems are being investigated. An especially significant aspect of this work is the development and testing of parallel algorithms for alternatives to the often ill-conditioned stiffness equations approach in structural analysis on machines such as the Cray X-MP, the Denelcor HEP and the Intel Hypercube. The principal thrusts in this project on least squares methods have been in developing techniques for the solution of superlarge problems in a stable way, i.e., employing orthogonal factorization techniques, on multiprocessors. These computations involve various levels of parallelism, including domain decomposition as well as pipelining type schemes for orthogonal factorization. Additional keywords: linear algebra; parallel processing. (Author).
Download or read book On a Fast Algorithm for Constrained Nonlinear Least Squares Problems written by Jürgen Huschens and published by . This book was released on 1992 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fast Algorithms for Integral Equations and Least Squares Identification Problems written by and published by . This book was released on 1983 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fast Algorithms for Structural Analysis Least Squares and Related Computations written by Robert J. Plemmons and published by . This book was released on 1986 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: New fast algorithms for high speed computation on the modern generation of supercomputers is essential. To meet these challenges new techniques are developed in numerical linear algebra and its applications for implementation on these new architectures. Significantly, applications of this work to practical problems of structural analysis and design and to least squares adjustments, estimation and digital filtering are also being investigated. The current objectives in structural analysis are to develop efficient and stable high speed algorithms for the design and analysis of large complex systems. Interest here is in developing stable alternatives to the often ill conditioned stiffness matrix approach to solving problems in elastic analysis and structural dynamics. For example, a comparative study is developed of the performances of seven alternative methods to the stiffness approach on the Alliant FX/8 and Cray X-MP systems. These methods involve various orthogonal factorization approaches as well as preconditioned conjugate gradient methods which completely avoid formation of the stiffness equations.
Download or read book Numerical Algorithms for Estimating Least Squares Problems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The solution of least squares estimation problems is of great importance in the areas of numerical linear algebra, computational statistics and econometrics. The design and analysis of numerically stable and computationally efficient methods for solving such least squares problems is considered. The main computational tool used for the estimation of the least squares solutions is the QR decomposition, or the generalized QR decomposition. Specifically, emphasis is given to the design of sequential and parallel strategies for computing the main matrix factorizations which arise in the estimation procedures. The strategies are based on block-generalizations of the Givens sequences and efficiently exploit the structure of the matrices. An efficient minimum spanning tree algorithm is proposed for computing the QR decomposition of a set of matrices which have common columns. Heuristic strategies are also considered. Several computationally efficient sequential algorithms for block downdating of the least squares solutions are designed, implemented and analyzed. A parallel algorithm based on the best sequential approach for downdating the QR decomposition is also proposed. Within the context of block up-downdating, efficient serial and parallel algorithms for computing the estimators of the general linear and seemingly unrelated regression models after been updated with new observations are proposed. The algorithms are based on orthogonal factorizations and are rich in BLAS-3 computations. Experimental results which support the theoretical derived complexities of the new algorithms are presented. The comparison of the new algorithms with the corresponding LAPACK routines is also performed. The parallel algorithms utilize efficient load balanced distribution over the processors and are found to be scalable and efficient for large-scale least squares problems. It is expected that the proposed block-algorithms will facilitate the solution of computationally intensive statisti.
Download or read book A Superfast Stable Algorithm for Solving the Linear Least Squares Problems with Structured Sequentialy Semi separable Matrices written by Xiaotian Sun and published by . This book was released on 2003 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
