Total Positivity and Its Applications
Springer (Verlag)
978-0-7923-3924-3 (ISBN)
I. Spline Functions.- Total Positivity of the Spline Kernel and Its Applications.- Total Positivity Properties of LB-Splines.- Total Positivity and Splines.- Totally Positive Systems and Interpolation by Subspaces of Generalized Splines.- II. Matrix Theory.- Preservation of Total Nonnegativity under the Hadamard Product and Related Topics.- Vertex Implications for Totally Nonnegative Matrices.- On Factorizations of Totally Positive Matrices.- III. Geometric Modeling.- Total Positivity and Optimal Bases.- Total Positivity and the Shape of Curves.- Tchebycheff Curves.- IV. Probability and Mathematical Biology.- Analytical and Probabilistic Methods for Totally Positive Matrices.- Some Inequalities of Total Positivity in Pure and Applied Mathematics.- New Directions and Problems of Multivariate Total Positivity Motivated by Genetic Recombination Probabilities.- V. Approximation Theory.- Tchebycheff Spaces and Total Positivity.- ?ebyšev and Weak ?ebyšev Systems.- VI. Complex Analysis.- Zero Sets of Entire Fourier Transforms of Multiply Positive Density Functions.- VII. Statistics.- Total Nonnegativity of Moment Matrices and Its Application to E-Optimal Designs in Polynomial Regression.- Analysis of Regression Dependence in 2 × n Bivariate Distributions and Some Applications in Contingency Tables.- VIII. Real Analysis.- Total Positivity and Nonlinear Analysis.- Solutions of Certain Functional Equations.- Alternance and Snakes in the Nonlinear Finite Moment Problem.- IX. Combinatorics.- The Applications of Total Positivity to Combinatorics, and Conversely.- X. Integral Equations.- Spectral Properties of Totally Positive Kernels and Matrices.
Erscheint lt. Verlag | 31.3.1996 |
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Reihe/Serie | Mathematics and Its Applications ; 359 | Mathematics and Its Applications ; 359 |
Zusatzinfo | X, 518 p. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 156 x 234 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
ISBN-10 | 0-7923-3924-X / 079233924X |
ISBN-13 | 978-0-7923-3924-3 / 9780792339243 |
Zustand | Neuware |
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