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pro vyhledávání: '"G. J. Habetler"'
A differentiable function on a convex set K is said to be K-flat if its gradient vanishes at each of its zeros belonging to K. K-flatness of quadratic forms implies their constrained semi-definiteness. This furnishes a useful characterization of posi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b3811f89591422b7f0ac937d572dc42
https://doi.org/10.1515/9781400869930-033
https://doi.org/10.1515/9781400869930-033
Autor:
B. P. Szanc, G. J. Habetler
Publikováno v:
Journal of Optimization Theory and Applications. 84:103-116
Cottle and Dantzig (Ref. 1) showed that the generalized linear complementarity problem has a solution for anyq∈R m ifM is a vertical blockP-matrix of type (m 1,...,m n ). They also extended known characterizations of squareP-matrices to vertical bl
Publikováno v:
The Journal of the Acoustical Society of America. 93:1335-1346
The global and local stability of a one‐way, nth‐order, time‐domain paraxial equation (TDPEn) to an acoustic wave equation [M. D. Collins, J. Acoust. Soc. Am. 86, 1097–1102 (1989)] is resolved. An operator splitting technique is used to deter
Publikováno v:
The Journal of the Acoustical Society of America. 89:1895-1896
The global and local stability of an nth‐order time‐domain paraxial approximation (TDPAn) to an acoustic wave equation [M. D. Collins, J. Acoust. Soc. Am. 86, 1097–1102 (1989)] is resolved. An operator splitting technique and the Trotter produc
Autor:
G. J. Habetler, Bernard J. Matkowsky
Publikováno v:
Archive for Rational Mechanics and Analysis. 57:166-188
Autor:
G. J. Habetler, M. M. Kostreva
Publikováno v:
SIAM Journal on Control and Optimization. 16:504-511
We extend Murty’s scheme for solving linear complementarity problems to the generalized nonlinear complementarity problem on an orthant of $R^n $. Reformulating to accommodate a type of nonlinear function generalizing the P-matrices of Fiedler and
Publikováno v:
Quarterly of Applied Mathematics. 28:597-600
Autor:
A. L. Price, G. J. Habetler
Publikováno v:
Journal of Optimization Theory and Applications. 7:223-239
The nonlinear complementarity problem is generalized by replacing the usual nonnegative ordering ofRn by an ordering generated by a convex cone. Two new classes of operators are introduced, each of which is used to guarantee the existence of a soluti
Autor:
G. J. Habetler, E. L. Wachspress
Publikováno v:
Journal of the Society for Industrial and Applied Mathematics. 8:403-423
Introduction. In recent years, considerable effort has been devoted to the analysis of alternating-direction-implicit (ADI) iteration schemes for solving large systems of linear equations [1, 2, 3, 4]. The basic formulation by Peaceman and Rachford [
Autor:
G. J. Habetler, J. W. Rainey
Publikováno v:
Mathematics of Computation. 26:121-128
Let M = [ m i j ] i , j = 1 n M = [{m_{ij}}]_{i,j = 1}^n be completely nonnegative (CNN), i.e., every minor of M M is nonnegative. Two methods for reducing the eigenvalue problem for M M to that of a CNN, tridiagonal matrix, T = [ t i j ] T = [{t_{ij