... 1 p. 85-95 Article Iterative computational methods† Magnus R. Hestenes, Magnus R. Hestenes University of California, Los Angeles, CaliforniaSearch for more papers by this author Magnus R. Hestenes, Magnus R. Hestenes University of California, Los Angeles, CaliforniaSearch for more ...
Tópico(s): Scientific Research and Discoveries
1955 - Wiley | Communications on Pure and Applied Mathematics
... 0106012PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Magnus R. Hestenes, Iterative computational methods, Comm. Pure Appl. Math., 8 ( ... 85–95 MR0068313 0066.10201 CrossrefISIGoogle Scholar[2] Magnus R. Hestenes, Inversion of matrices by biorthogonalization and related results, ...
Tópico(s): Algebraic and Geometric Analysis
1958 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics
... 10.1137/1002004 0168.13303 LinkISIGoogle Scholar[21] Magnus R. Hestenes, Inversion of matrices by biorthogonalization and related results, ... 1137/0106005 MR0092215 0085.33003 LinkISIGoogle Scholar[22] Magnus R. Hestenes, Relative hermitian matrices, Pacific J. Math., 11 (1961), ...
Tópico(s): Scientific Research and Discoveries
1963 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics
... 1)-1480, AEC Computing Facility Google Scholar[11] Magnus R. Hestenes and , William Karush, A method of gradients for ... 47 (1951), 45–61 MR0043552 CrossrefISIGoogle Scholar[12] Magnus R. Hestenes, Determination of eigenvalues and eigenvectors of matricesSimultaneous linear ...
Tópico(s): Mathematics and Applications
1958 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics
Introduction.One of the interesting chapters in the calculus of variations is the theory of indices.It has two aspects, the theory in the large and the theory in the small.An important part of the latter is the theory of indices of the second variation, that is, of integrals that are quadratic in their arguments.Such a theory includes the Sturm-Liouville theory for self-adjoint differential systems.The theory of the second variation can be approached from many points of view.It can be developed ...
Tópico(s): Geotechnical and Geomechanical Engineering
1951 - Mathematical Sciences Publishers | Pacific Journal of Mathematics
Magnus R. Hestenes, William Karush,
A be a real symmetric mat rid,'(X) .. J! he Rayleigh quot ient form ed wit h a vec Lor x, and Hx) t he gradie nt vector of I' (x).The met hod of gradients consists in an infini te itera tion of t he operat ion x =x-a (x) H x). The convergence of t he procedure is proved for se veral choices for a (x), and t he rate of convergence is studied extensi vely for one part icula r a (x).The directions of t he vectors in t he sequence are seen t o tend to that of t he cha racteri stic vector belon ging t o t he ...
Tópico(s): Advanced Theoretical and Applied Studies in Material Sciences and Geometry
1951 - US government | Journal of research of the National Bureau of Standards
J. Barkley Rosser, Cornelius Lanczos, Magnus R. Hestenes, William Karush,
Tópico(s): Matrix Theory and Algorithms
1951 - US government | Journal of research of the National Bureau of Standards
Magnus R. Hestenes, Eduard Stiefel,
An iterative algorithm is given for solving a system Ax=k of n linear equations in n unknowns. The solution is given in n steps. It is shown that this method is a special case of a very general method which also includes Gaussian elimination. These general algorithms are essentially algorithms for finding an n dimensional ellipsoid. Connections are made with the theory of orthogonal polynomials and continued fractions.
Tópico(s): Statistical and numerical algorithms
1952 - US government | Journal of research of the National Bureau of Standards
Tópico(s): Elasticity and Wave Propagation
1946 - American Mathematical Society | Transactions of the American Mathematical Society
Magnus R. Hestenes, E. J. McShane,
Graves proves only the Weierstrass condition.The condition of Legendre is a well known consequence of that of Weierstrass.
Tópico(s): Nonlinear Differential Equations Analysis
1940 - American Mathematical Society | Transactions of the American Mathematical Society
Tópico(s): Advanced Numerical Methods in Computational Mathematics
1948 - Johns Hopkins University Press | American Journal of Mathematics
The proof of these remarks can be found in the author's paper [4] on the Weierstrass E-function.This paper deals with the parametric problem.However the hypotheses are such that the results are equally applicable to the nonparametric case.
Tópico(s): Mathematical Dynamics and Fractals
1947 - American Mathematical Society | Transactions of the American Mathematical Society
... 189–193 MR0064480 0057.10304 CrossrefGoogle Scholar[3] Magnus R. Hestenes and , Eduard Stiefel, Methods of conjugate gradients for ...
Tópico(s): Iterative Methods for Nonlinear Equations
1955 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics
Tópico(s): Advanced Optimization Algorithms Research
1956 - American Mathematical Society | Proceedings of symposia in applied mathematics
George D. Birkhoff, Magnus R. Hestenes,
The theorem of Birkhoff (Dynamical Systems, p. 135) that any surface homeomorphic with a hypersphere has at least one closed geodesic depends for its proof upon a simple case of this extension.4 It is understood that every sub-k-cycle of a k-cycle in 91k is also in 9k, and that homologous k-cycle in 9k having the same critical k-sets are to be regarded as identical.A similar remark holds for k-chains in S2k.
Tópico(s): Elasticity and Wave Propagation
1935 - Duke University Press | Duke Mathematical Journal
Previous article Next article Inversion of Matrices by Biorthogonalization and Related ResultsMagnus R. HestenesMagnus R. Hesteneshttps://doi.org/10.1137/0106005PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout Previous article Next article FiguresRelatedReferencesCited byDetails The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme ScaleJack Dongarra, Mark Gates, Azzam Haidar, Jakub Kurzak, Piotr Luszczek, Stanimire Tomov, and Ichitaro ...
Tópico(s): Numerical Methods and Algorithms
1958 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics
Tópico(s): Contact Mechanics and Variational Inequalities
1934 - American Mathematical Society | Transactions of the American Mathematical Society
Tópico(s): Aerospace Engineering and Control Systems
1936 - Princeton University | Annals of Mathematics
Gilbert Ames Bliss, Magnus R. Hestenes,
and it is clear at once that the problem of Mayer is a problem of Bolza having f_=O. Sufficient conditions for the problem of Bolza have been established by Morse (XI, p. 528) and Bliss (XII, p. 271). However the hypotheses which they make, in particular that of normality on every sub-interval, imply that the function f is not identically zero, and the sets of sufficient conditions established by them are therefore not applicable to the problem of Mayer without further modification. In view of this ...
Tópico(s): Analytic and geometric function theory
1933 - American Mathematical Society | Transactions of the American Mathematical Society
The proof is somewhat different from that given by Bliss for the problem of Bolza.He has called my attention to the fact that the argument which he used is inadequate in the case when the ends of £0 are conjugate, and has suggested the modifications indicated here.
Tópico(s): Nonlinear Differential Equations Analysis
1933 - American Mathematical Society | Transactions of the American Mathematical Society
... 0707032PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Magnus R. Hestenes and , Eduard Stiefel, Methods of conjugate gradients for ... 436 (1953) MR0060307 0048.09901 CrossrefISIGoogle Scholar[2] Magnus R. Hestenes, The conjugate-gradient method for solving linear systems, ...
Tópico(s): Sparse and Compressive Sensing Techniques
1970 - Society for Industrial and Applied Mathematics | SIAM Journal on Numerical Analysis
... 0117118PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Magnus R. Hestenes and , Eduard Stiefel, Methods of conjugate gradients for ... MR0060307 (15,651a) 0048.09901 CrossrefISIGoogle Scholar[2] Magnus R. Hestenes, The conjugate-gradient method for solving linear systems, ...
Tópico(s): Iterative Methods for Nonlinear Equations
1969 - Society for Industrial and Applied Mathematics | SIAM Journal on Applied Mathematics
Babubhai V. Shah, Robert J. Buehler, Oscar Kempthorne,
... Wallis, W. A., eds. MR0023505 Google Scholar[19] Magnus R. Hestenes, The conjugate-gradient method for solving linear systems, ... 83–102 MR0084178 0072.14102 Google Scholar[20] Magnus R. Hestenes and , Eduard Stiefel, Methods of conjugate gradients for ...
Tópico(s): Advanced Numerical Analysis Techniques
1964 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics
The fupnctions cf/, fo, f are positively homogeneous in the variables yi. The problem here formulated contains as special cases most of the interesting problems in the calculus of variations involving simple integrals('). In the present paper we shall develop certain interesting properties of the Weierstrass E-function. These properties are of interest apart from their applications to be found in the papers that follow. We shall be concerned particularly with the concept of E-dominance. This concept ...
Tópico(s): Matrix Theory and Algorithms
1946 - American Mathematical Society | Transactions of the American Mathematical Society
J. William Helton, Frederick Weening,
... of nonlinear systems: a convex characterization’ (preprint). 13 Hestenes, Magnus R., ‘Inversion of matrices by biorothogonalization’, J. Soc. ...
Tópico(s): Quantum chaos and dynamical systems
1996 - Wiley | International Journal of Robust and Nonlinear Control
... MR0006828 (4,48d) 0063.03871 CrossrefGoogle Scholar[12] Magnus R. Hestenes, An indirect sufficiency proof for the problem of ...
Tópico(s): Heat Transfer and Mathematical Modeling
1965 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics Series A Control
... 5 shots of A. A. Albert, Paul Halmos, Magnus Hestenes, Irving Kaplansky, John Kelley, and Irving Segal could ...
Tópico(s): Mathematics and Applications
2001 - Taylor & Francis | American Mathematical Monthly
Tópico(s): Elasticity and Wave Propagation
1939 - Duke University Press | Duke Mathematical Journal
Tópico(s): Elasticity and Wave Propagation
1938 - American Mathematical Society | Bulletin of the American Mathematical Society
... of California, Los Angeles, 1963 Google Scholar[10] Magnus R. Hestenes, On variational theory and optimal control theory, J. ...
Tópico(s): Heat Transfer and Mathematical Modeling
1965 - Society for Industrial and Applied Mathematics | Journal of the Society for Industrial and Applied Mathematics Series A Control