Results 251 to 260 of about 1,820,249 (291)

One Part Leaky Covers. [PDF]

open access: yesMathematica (N Y)
Cavalieri R, Markwig H, Schmitt J.
europepmc   +1 more source

Constant solutions of polynomial equations

International Journal of Control, 1991
Abstract A necessary and sufficient condition is given for the equation AX + BY = C in polynomial matrices to have a constant solution pair X, Y and also for X to be non-singular. A sufficient condition is then established under which the equation with A and B fixed has a constant solution for each C from a given class. Applications to the construction
Vladimir Kučera, Petr Zagalak
exaly   +2 more sources

Polynomial maps with constant Jacobian

Israel Journal of Mathematics, 1979
It has been long conjectured that ifn polynomialsf 1, …,f n inn variables have a (non-zero) constant Jacobian determinant then every polynomial can be expressed as a polynomial inf 1, …,f n. In this paper, various extra assumptions (particularly whenn=2) are shown to imply the conclusion. These conditions are discussed algebraically and geometrically.
exaly   +3 more sources

Exploiting Constant Trace Property in Large-scale Polynomial Optimization

open access: yesACM Transactions on Mathematical Software, 2022
43 pages, 6 algorithms, 23 tablesInternational audienceWe prove that every semidefinite moment relaxation of a polynomial optimization problem (POP) with a ball constraint can be reformulated as a semidefinite program involving a matrix with constant ...
Jie Wang   +2 more
exaly   +2 more sources

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