Bulletin of the American Mathematical Society

A completely integrable Hamiltonian system associated with line fitting in complex vector spaces

Author(s): Anthony M. Bloch
Journal: Bull. Amer. Math. Soc. 12 (1985), 250-254.
MathSciNet review: 776479
Retrieve article in: PDF

1.: M. Adler and P. Van Moerbeke, Completely integrable systems, Euclidean Lie algebras and curves, Adv. in Math. 38 (1980), 267-317. MR 597729
2.: M. F. Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc. 14 (1982), 1-15. MR 642416
3.: M. F. Atiyah, Angular momentum, convex polyhedra and algebraic geometry, Proc. Edinburgh Math. Soc. 26 (1983), 121-138. MR 705256
4.: A. M. Bloch, Ph.D. Thesis, Harvard Univ. (in preparation).
5.: C. I. Byrnes and J. C. Willems, Least squares estimation, linear programmming and momentum (to appear).
6.: G. H. Golub and C. F. Van Loan, An analysis of the total least squares problem, SIAM J. Numer. Anal. 17 (1980), 883-893. MR 595451
7.: P. A. Griffiths, Linearizing flows and a cohomological interpretation of the Lax equation (preprint). MR 815768
8.: D. Kendall, Multivariate analysis, Macmillan, 1975.
9.: H. P. McKean, Integrable systems and algebraic curves, Lecture Notes in Math., vol. 755, Springer-Verlag, 1978, pp. 83-200. MR 564904
10.: A. S. Mischenko and A. T. Fomenko, Integrability of Euler equations on semisimple Lie algebras, Selecta Math. Soviet. 2 (1982), 207-292.
11.: J. Moser, The geometry of quadrics and spectral theory, Proc. Chern Sympos. (1979), Springer-Verlag, 1980. MR 609560
12.: R. S. Muirhead, Aspects of multivariate statistical theory, Wiley, 1982. MR 652932
13.: D. Mumford, Tata lectures on Theta II, Birkhauser, 1984. MR 742776
14.: T. Raitu, Involution theorems, Lecture Notes in Math., vol. 775, Springer-Verlag, 1980, pp. 221-257. MR 569304
15.: T. Raitu, The motion of the free n-dimensional rigid body, Indiana Univ. Math. J. 29 (1980), 609-629. MR 578210

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-9485(e) ISSN 0273-0979(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS