See this document in CiteSeerX!

Matrix Differential Equations:  (Make Corrections)  
A Continuous Realization Process For Linear Algebra Problems Moody T. Chu



  Home/Search   Context   Related

 
View or download:
ncsu.edu/~mtchu/Research/Pa...review.ps
Cached:  PS.gz  PS  PDF   Image  Update  Help

From:  ncsu.edu/~mtchu/Research...Readme (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: Many mathematical problems, such as existence questions, are studied by using an appropriate realization process, either iteratively or continuously. In this article differential equation techniques are used as a special continuous realization process for linear algebra problems. The matrix differential equations are cast in fairly general frameworks of which special cases have been found to be closely related to important numerical algorithms. The main thrust is to study the dynamics of... (Update)

Active bibliography (related documents):   More   All
5.2:   A List of Matrix Flows with Applications - Moody Chu Department (1994)   (Correct)
0.9:   Continuation and Path Following - Allgower, Georg (1992)   (Correct)
0.7:   A Continuous Jacobi-like Approach to the - Simultaneous Reduction Of   (Correct)

Similar documents based on text:
0.0:   Unknown -   (Correct)

BibTeX entry:   (Update)

@misc{ process-matrix,
  author = "Continuous Realization Process",
  title = "Matrix Differential Equations:",
  url = "citeseer.ist.psu.edu/758588.html" }
Citations (may not include all citations):
744   Matrix Computations (context) - Golub, Van Loan - 1989
708   Cambridge University Press (context) - Horn, Johnson et al. - 1985
663   Practical Optimization (context) - Gill, Murray et al. - 1981
624   The Algebraic Eigenvalue Problem (context) - Wilkinson - 1965
235   Classical Mechanics (context) - Goldstein - 1965
93   Solving Polynomial Systems Using Continuation for Scientific.. (context) - Morgan - 1987
73   Quadratic assignment problems - Finke, Burkard et al. - 1987
72   Geometrical Methods in the Theory of Ordinary Differential E.. (context) - Arnold - 1988
49   Lie Groups and Symmetric Spaces (context) - Helgason, Geometry - 1978
47   Foundations of Differentiable Manifolds and Lie Group (context) - Warner - 1983
39   Springer-Verlag (context) - Curtis, Groups - 1979
31   The formulation and analysis of numerical methods for invers.. (context) - Friedland, Nocedal et al. - 1987
28   Dynamical systems that sort lists (context) - Brockett - 1989
25   A Hamiltonian QR Algorithm (context) - Byers - 1986
25   Applications of Center Manifold Theory (context) - Carr - 1981
24   Pathways to Solutions (context) - Garcia, Zangwill - 1981
24   The projected gradient method for least squares matrix appro.. (context) - Chu, Driessel
22   Matrix Theory (context) - Gantmacher - 1959
22   Simplicial and continuation methods for approximating fixed .. (context) - Allgower, Georg - 1980
15   Homotopy algorithm for symmetric eigenvalue problems (context) - Li, Rhee - 1989
13   the continuous realization of iterative processes (context) - Chu - 1988
13   Qualitative Theory of Ordinary Differential Equations (context) - Brauer, Nohel - 1969
12   Numerical Analysis of Parameterized Nonlinear Equations (context) - Rheinboldt - 1986
11   Least squares matching problems (context) - Brockett - 1989
11   Spectral properties of finite Toeplitz matrices (context) - Delsarte, Genin - 1983
10   Matrix nearness problems and applications - Higham - 1989
10   Numerical linear algebra aspects of globally convergent homo.. (context) - Watson - 1986
10   What do multistep methods approximate (context) - Eirola, Nevanlinna - 1988
9   Constructing symmetric non-negative matrices with prescribed.. - Chu, Driessel
9   The QR algorithm and scattering for the finite non-periodi T.. (context) - Symes - 1982
8   Closest normal matrix finally found (context) - Ruhe - 1987
8   Can real symmetric Toeplitz matrices have arbitrary real spe.. (context) - Driessel, Chu
8   A numerical approach to the inverse Toeplitz eigenproblem SI.. (context) - Laurie - 1988
8   Isospectral flows (context) - Watkins - 1984
7   HOMPACK: A suite of codes for globally convergent homotopy a.. (context) - Watson, Billups et al. - 1987
7   Global homotopies and Newton methods (context) - Keller - 1978
7   Homotopy method for general -matrix problems (context) - Chu, Li et al. - 1988
5   On isospectral gradient flow --- solving matrix eigenproblem.. (context) - Driessel - 1986
5   Numerical solution of a class of deficient polynomial system.. (context) - Li, Sauer et al. - 1987
5   Isospectral flows and abstract matrix factorizations (context) - Chu, Norris - 1988
5   Self-similar flows (context) - Watkins, Elsner - 1988
4   Eigenvalues of non-negative symmetric matrices (context) - Fiedler - 1974
4   A continuous approximation to the generalized Schur decompos.. (context) - Chu - 1986
4   A note on multistep methods and attracting sets of dynamical.. (context) - Kloeden, Lorenz - 1990
4   a differential equation approach to the singular value decom.. (context) - Chu - 1986
3   A survey of homotopy methods for smooth mappings (context) - Allgower - 1980
3   the QR algorithm and the center manifold theorem (context) - Chu, Toda - 1984
3   Differential equations for the symmetric eigenvalue problem (context) - Deift, Nanda et al. - 1983
3   A chart of numerical method for structured eigenvalue proble.. (context) - Bunse-Gerstner, Byers et al. - 1989
2   Numerical Linear Algorithms and Group Theory (context) - Della-Dora - 1975
2   Parallel solution of ODE's by multiblock methods (context) - Chu, Hamilton - 1987
2   Least squares approximation by real normal matrices with spe.. (context) - Chu
1   Non-negative Matrices in the Mathematica Sciences (context) - Berman, Plemmons - 1979
1   Fractional transformation group induced by QR factorization .. (context) - Nakamura - 1988
1   Matrix Canonical Forms (context) - Chu, Jacobi-like et al.
1   Matrix factorizations for sympletic QR-like methods (context) - Bunse-Gerstner - 1986
1   Group actions on linear predictors for non-stationary proces.. (context) - Nakamura - 1988
1   A new class of quadratic Poisson structures and the Yang-Bax.. (context) - Li, Parmentier - 1988
1   and an eigenvalue problem of control theory (context) - Faibusovich, factorizations et al. - 1989
1   vol I and II (context) - Hammer, Johnson et al. - 1979
1   A new lower bound via elimination for the quadratic assignme.. (context) - Hadley, Rendl et al. - 1989

Documents on the same site (http://www4.ncsu.edu/~mtchu/Research/Papers/Readme.html):   More
On The Low-Rank Approximation Of Data On The Unit Sphere - Chu Del Buono   (Correct)
Constructing Symmetric Nonnegative Matrices with Prescribed.. - Chu (1990)   (Correct)
A Study of the Effect of Ties in the k-modes.. - Funderlic, Chu.. (2004)   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC