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Existence of Gaussian cubature formulas

open access: yes, 2011
We provide a necessary and sufficient condition for existence of Gaussian cubature formulas. It consists of checking whether some overdetermined linear system has a solution and so complements Mysovskikh's theorem which requires computing common zeros of orthonormal polynomials. Moreover, the size of the linear system shows that existence of a cubature
openaire   +3 more sources

ON THE OPTIMAL CUBATURE FORMULAS

open access: yesProceedings of the Academy of Sciences of the Estonian SSR. Physics. Mathematics, 1975
M. Levin, A. Jõgi, M. Levina
openaire   +1 more source

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