Convex Geometry

ConvexityBy Dr. H. G. Eggleston. (Cambridge Tracts in Mathematics and Mathematical Physics.) Pp. viii + 136. (Cambridge: At the University Press, 1958.) 21s. net.Problems in Euclidean SpaceApplication of Convexity. By Dr. H. G. Eggleston. (The Adams Prize Essay of the University of Cambridge, 1955–6.) (International Series of Monographs on Pure and Applied Mathematics, Vol. 5.) Pp. viii + 165. (London and New York: Pergamon Press, 1957.) 40s. net.

[1]  G. Pataki Cone-LP ' s and Semidefinite Programs : Geometry and a Simplex-Type Method , 2022 .

[2]  G. Thomas Calculus and Analytic Geometry , 1953 .

[3]  W. Cheney,et al.  Proximity maps for convex sets , 1959 .

[4]  L. M. Blumenthal A note on the four-point property , 1933 .

[5]  Stefan Straszewicz,et al.  Über exponierte Punkte abgeschlossener Punktmengen , 1935 .

[6]  R. Penrose A Generalized inverse for matrices , 1955 .

[7]  C. Eckart,et al.  The approximation of one matrix by another of lower rank , 1936 .

[8]  K. Schittkowski,et al.  NONLINEAR PROGRAMMING , 2022 .

[9]  I. J. Schoenberg Remarks to Maurice Frechet's Article ``Sur La Definition Axiomatique D'Une Classe D'Espace Distances Vectoriellement Applicable Sur L'Espace De Hilbert , 1935 .

[10]  P. Gordan Ueber die Auflösung linearer Gleichungen mit reellen Coefficienten , 1873 .

[11]  Paul Pinsler Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen , 1936 .

[12]  J. W. Brown,et al.  Complex Variables and Applications , 1985 .

[13]  N. S. Mendelsohn,et al.  The convex hull of sub-permutation matrices , 1958 .

[14]  I. J. Schoenberg,et al.  Metric spaces and positive definite functions , 1938 .

[15]  Ragnar Frisch The multiplex method for linear programming , 1958 .

[16]  N. Jacobson Lectures In Abstract Algebra , 1951 .

[17]  A. Horn Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix , 1954 .

[18]  N. L. Johnson,et al.  Multivariate Analysis , 1958, Nature.

[19]  A. Hoffman,et al.  The variation of the spectrum of a normal matrix , 1953 .

[20]  S. Agmon The Relaxation Method for Linear Inequalities , 1954, Canadian Journal of Mathematics.

[21]  Leonard M. Blumenthal,et al.  Theory and applications of distance geometry , 1954 .

[22]  J. Farkas Theorie der einfachen Ungleichungen. , 1902 .