orthogonal zero interpolants and applications
Authors
abstract
orthogonal zero interpolants (ozi) are polynomials which interpolate the “zero-function” at a finite number of pre-assigned nodes and satisfy orthogonality condition. ozi’s can be constructed by the 3-term recurrence relation. these interpolants are found useful in the solution of constrained approximation problems and in the structure of gauss-type quadrature rules. we present some theoretical and computational aspects of ozi’s and also discuss their structure and significance at the multiple nodes.
similar resources
ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS
Orthogonal zero interpolants (OZI) are polynomials which interpolate the “zero-function” at a finite number of pre-assigned nodes and satisfy orthogonality condition. OZI’s can be constructed by the 3-term recurrence relation. These interpolants are found useful in the solution of constrained approximation problems and in the structure of Gauss-type quadrature rules. We present some theoretical...
full textApplications of Craig Interpolants in Model Checking
A Craig interpolant for a mutually inconsistent pair of formulas (A,B) is a formula that is (1) implied by A, (2) inconsistent with B, and (3) expressed over the common variables of A and B. An interpolant can be efficiently derived from a refutation of A ∧ B, for certain theories and proof systems. We will discuss a number of applications of this concept in finiteand infinite-state model check...
full textZero-Free and Redundant Quaternion Orthogonal Designs
The success of applying generalized complex orthogonal designs as space-time block codes recently motivated the definition of quaternion orthogonal designs as potential building blocks for space-time-polarization block codes. Since complex orthogonal designs with no zero entries have proven important in applications, this paper offers a construction for an infinite family of restricted quaterni...
full textUnivariate Spline Quasi - Interpolants and Applications to Numerical Analysis
We describe some new univariate spline quasi-interpolants on uniform partitions of bounded intervals. Then we give some applications to numerical analysis: integration, differentiation and approximation of zeros.
full textZero Asymptotic Behaviour for Orthogonal Matrix Polynomials
Weak-star asymptotic results are obtained for the zeros of orthogonal matrix polynomials (i.e. the zeros of their determinants) on R from two di®erent assumptions: ̄rst from the convergence of matrix coe±cients occurring in the three-term recurrence for these polynomials and, second, from some conditions on the generating matrix measure. The matrix analogue of the Chebyshev polynomials of the ̄...
full textZero Location for Nonstandard Orthogonal Polynomials
A method to locate the zeros of orthogonal polynomials with respect to non-standard inner products is discussed and applied to Sobolev orthogonal polyno-mials and polynomials satisfying higher-order recurrence relations.
full textMy Resources
Save resource for easier access later
Journal title:
international journal of mathematical modelling and computationsجلد ۱، شماره ۱ (WINTER)، صفحات ۹-۱۴
Keywords
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023