Titlebook: Computer Algebrain Scientific Computing; 23rd International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 202

Perigee

Computational Schemes for Subresultant Chains, procedure, not all polynomials of the chain, or not all coefficients of a given subresultant, may be needed. Based on that observation, this paper discusses different practical schemes, and their implementation, for efficiently computing subresultants. Extensive experimentation supports our findings.

敬礼

On the Real Stability Radius for Some Classes of Matrices,izing perturbation matrix is also discussed as well as cases of symmetric and orthogonal matrices where the stability radius can be explicitly expressed via the matrix eigenvalues. Several examples are presented.

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Relaxed NewtonSLRA for Approximate GCD,eighted Frobenius norm. By this improvement, we prevent a convergence to a local optimum that is possibly far from the global optimum. We also propose some modification using a sparsity on the NewtonSLRA algorithm for the subresultant matrix in terms of computing time.

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搬运工

lattice

山间窄路

François Boulier,Matthew England,Evgenii V. Vorozh

faddish

,The m-Bézout Bound and Distance Geometry,ings had for decades been Bézout’s, applied to the obvious system of quadratic equations expressing the length constraints. This is essentially ., for graphs of . vertices in . dimensions, and implies a bound of . for the most famous case of Laman graphs in the plane. However, the best lower bound i

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Symbolic-Numeric Algorithms for Computing Orthonormal Bases of , Group for Orbital Angular Momentumact as well as arbitrary precision calculations. The algorithm for the construction of the E basis resolves the missing label problem by calculation of the matrix . in an orthogonal basis from this matrix previously built in non-orthogonal basis. The implementation of this algorithm provides large s