This paper presents a novel method for calculating a compact order singular value decomposition (SVD) of polynomial matrices, building upon the recently proven existence of an analytic SVD for ...

Modern trends in simulation of large microelectronics systems has introduced the necessity for development of fast and robust nonlinear model order algorithms. This paper discusses polynomial ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

In this paper, we show that for several second-order partial differential equations \begin {align*}L [u] &= A (x,y)u_ {xx} + 2B (x,y)u_ {xy} + C (x,y)u_ {yy} + D (x,y)u_x + E (x,y)u_y \\ &= \lambda_nu ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

The conditional variance function in a heteroscedastic, nonparametric regression model is estimated by linear smoothing of squared residuals. Attention is focused on local polynomial smoothers.

DSP includes filtering to trade speed with noise, then compensation for pressure non-linearity and temperature using a polynomial function up to 4th order. “The A17700 allows system designers to ...

Problem Description Polynomials defined on Rings with FLINT has gcd/xgcd method function well implemented, and internally uses half-gcd algorithm as well for fast calculation. However, if the modulus ...