
MultRoot
 Referenced in 98 articles
[sw00604]
 Matlab package for computing polynomial roots and multiplicities. MultRoot is a collection of Matlab modules ... accurate computation of polynomial roots, especially roots with nontrivial multiplicities. As a blackboxtype ... polynomial coefficients as the only input, and outputs the computed roots, multiplicities, backward error, estimated ... accuracy on multiple roots without using multiprecision arithmetic, even if the polynomial coefficients are inexact...

INTLAB
 Referenced in 426 articles
[sw04004]
 simple) univariate functions univariate and multivariate (interval) polynomials rigorous real interval standard functions (fast, very ... matrixvector residuals (interpreted, reference implementation, slow) multiple precision interval arithmetic with error bounds (does...

SLRA
 Referenced in 23 articles
[sw11262]
 approximate GCD problem of multiple univariate polynomials in the weighted 2norm. Backward error minimization...

GPGCD
 Referenced in 9 articles
[sw06224]
 divisor (GCD) of univariate polynomials, to multiple polynomial inputs. For a given pair of polynomials...

FOXBOX
 Referenced in 16 articles
[sw00307]
 underlying field and polynomial arithmetic. Multiple arithmetic plugins can be used in the same computation...

CUMODP
 Referenced in 8 articles
[sw08402]
 Typical operations are matrix determinant computation, polynomial multiplication (both plain and FFTbased), univariate polynomial...

BPAS
 Referenced in 8 articles
[sw08399]
 particular hardware accelerators. Typical operations are polynomial multiplication, multipoint evaluation and interpolation, real root ... BPAS distribution contains code for dense polynomials whose coefficients can be either rational numbers...

Audi
 Referenced in 3 articles
[sw19687]
 internally powered by the truncated polynomial multiplication algorithm of the open source project Piranha some ... described in: Biscani, Francesco. Parallel sparse polynomial multiplication on modern hardware architectures. Proceedings ... Computation. ACM, 2012. Biscani, Francesco. Multiplication of sparse Laurent polynomials and Poisson series on modern ... finegrained parallelization of the truncated polynomial multiplication. The benefits of this fine grained parallelization...

ADE4
 Referenced in 8 articles
[sw14077]
 linear regression methods including lowess and polynomial regression, multiple and PLS (partial least squares) regression...

MPFI
 Referenced in 40 articles
[sw00597]
 shows that the overhead due to the multiple precision is completely acceptable. Eventually, some applications ... MPFI are given: robotics, isolation of polynomial real roots (by an algorithm combining symbolic...

M4GB
 Referenced in 3 articles
[sw35027]
 store already computed (tail)reduced multiples of basis polynomials to prevent redundant work ... computation of a term polynomial multiplication, where all computations are done over coefficient vectors over ... algorithm tailored for dense overdefined polynomial systems as a proof of concept and made...

Aztec
 Referenced in 83 articles
[sw12817]
 necessary transformations for the matrixvector multiplication and preconditioning. After the transformations, the iterative solvers ... Jacobi, block Jacobi, GaussSeidel, leastsquares polynomials, and overlapping domain decomposition using sparse...

HolonomicFunctions
 Referenced in 48 articles
[sw06666]
 annihilating ideals and execute closure properties (addition, multiplication, substitutions) for such functions. An annihilating ideal ... HolonomicFunctions: computations in Ore algebras (noncommutative polynomial arithmetic with mixed differencedifferential operators), noncommutative Gröbner...

NUMATH
 Referenced in 5 articles
[sw00639]
 polynomials, splines and trigonometric polynomials; numerical integration, including multiple integrals, solving nonlinear equations; minimization...

simPH
 Referenced in 2 articles
[sw23155]
 hazard ratios) for linear coefficients, multiplicative interactions, polynomials, penalised splines, and nonproportional hazards ... also simulates and plots marginal effects for multiplicative interactions...

boolfun
 Referenced in 1 article
[sw20674]
 also implements functionality to handle Boolean polynomials, namely multiplication and addition of multivariate polynomials with...

PARAM
 Referenced in 14 articles
[sw09669]
 class. Due to parametricity, evaluation results are polynomials or rational functions. By instantiating the parameters ... function, one can cheaply obtain results for multiple individual instantiations, based on only a single...

Polynomials
 Referenced in 4 articles
[sw32226]
 like addition, multiplication, and substitution. We also define (weak) monotonicity of polynomials and comparison...

SEGRE
 Referenced in 5 articles
[sw07760]
 provides convenient procedures for calculations in multiplicity theory, intersection theory, and singularity theory. Based ... Hilbert polynomials of multigraded rings, it contains procedures for the calculation of mixed multiplicities...