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The question of the nonnegativity of quadratic forms on intersections of quadratic cones

Given quadratic forms q 1,..., q k, two questions are studied: Under what conditions does the set

of quadratic forms. The second problem deals with the positivity of the maximum of finitely many of quadratic

Index of a quadratic form

The abnormal minimization problem with a finite-dimensional image and geometric constraints

that a generic map is 2-normal.

Index of quadratic form

For the problem of minimizing a quadratic functional subject to quadratic equality constraints

Perturbations of the quadratic form minimization problem under quadratic constraints of the type

positive definite binary quadratic forms whose discriminants coincide with the discriminants of imaginary

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