Numerical and symbolic computation of polynomial matrix determinant

2003 ◽  
Author(s):  
M. Hromcik ◽  
M. Sebek
Keyword(s):  
Symbolic Computation ◽  
Polynomial Matrix

scholarly journals Generalized inversion by interpolation

Filomat ◽  
2007 ◽  
Vol 21 (1) ◽  
pp. 67-86 ◽  
Author(s):  
Predrag Stanimirovic ◽  
Milan Tasic ◽  
Predrag Krtolica ◽  
Nikolas Karampetakis
Keyword(s):  
Programming Languages ◽  
Symbolic Computation ◽  
Polynomial Matrix ◽  
Drazin Inverse ◽  
Generalized Inversion ◽  
Procedural Programming ◽  
Programming Package

We investigate two algorithms for computing the Moore-Penrose and Drazin inverse of a given one-variable polynomial matrix by interpolation. These algorithms differ in the method used for constant matrices inverses computing. The first algorithm uses the Grevile?s method, and the second one uses the Leverrier-Faddeev method and its generalization. These algorithms are especially useful for symbolic computation in procedural programming languages. We compare results by implementing the algorithms in the programming package MATHEMATICA and in the procedural programming languages DELPHI and C++.

Symbolic computation to estimate two-sided boundary conditions in two-dimensional conduction problems

10.2514/3.920 ◽  
1997 ◽  
Vol 11 ◽  
pp. 472-476
Author(s):  
Henry H. Kerr ◽  
F. C. Frank ◽  
Jae-Woo Lee ◽  
W. H. Mason ◽  
Ching-Yu Yang
Keyword(s):  
Boundary Conditions ◽  
Symbolic Computation ◽  
Two Dimensional

scholarly journals Analytical mathematical schemes: Circular rod grounded via transverse Poisson’s effect and extensive wave propagation on the surface of water

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 545-554
Author(s):  
Asghar Ali ◽  
Aly R. Seadawy ◽  
Dumitru Baleanu
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Longitudinal Wave ◽  
Symbolic Computation ◽  
Boussinesq Equation ◽  
Nonlinear Partial Differential Equations ◽  
Wave Model ◽  
Simple Equation ◽  
Partial Differential

AbstractThis article scrutinizes the efficacy of analytical mathematical schemes, improved simple equation and exp(-\text{Ψ}(\xi ))-expansion techniques for solving the well-known nonlinear partial differential equations. A longitudinal wave model is used for the description of the dispersion in the circular rod grounded via transverse Poisson’s effect; similarly, the Boussinesq equation is used for extensive wave propagation on the surface of water. Many other such types of equations are also solved with these techniques. Hence, our methods appear easier and faster via symbolic computation.

QCD corrections to heavy quark decays

2007 ◽  
Vol 85 (6) ◽  
pp. 613-617
Author(s):  
I Blokland
Keyword(s):  
Heavy Quark ◽  
Symbolic Computation ◽  
Decay Rates ◽  
Special Cases ◽  
Quark Decays ◽  
Quark Decay

The calculation of QCD corrections to heavy quark decay rates has progressed steadily in recent years. With the help of specialized techniques, symbolic computation, and a growing base of experience, a wide variety of special cases have been evaluated. These results have been applied to decays such as t → bW, b → s γ, b → u[Formula: see text]ν, and b → c[Formula: see text]ν. PACS Nos.: 12.38.Bx, 13.30.Ce

scholarly journals Efficient symbolic computation of approximated small-signal characteristics of analog integrated circuits

1995 ◽  
Vol 30 (3) ◽  
pp. 327-330 ◽  
Author(s):  
P. Wambacq ◽  
F.V. Fernandez ◽  
G. Gielen ◽  
W. Sansen ◽  
A. Rodriguez-Vazquez
Keyword(s):  
Integrated Circuits ◽  
Symbolic Computation ◽  
Analog Integrated Circuits ◽  
Small Signal ◽  
Signal Characteristics
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