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Results tagged with quadratic-forms
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user 37867
Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.
8
votes
A nice necessary and sufficient condition on positive semi-definiteness of a matrix with a s...
Such a matrix can be written in block form:
$$
\mathbf{A} = \begin{pmatrix}\mathbf{B} & -\mathbf{B1}_{n-1}\\-\mathbf{1}_{n-1}^T \mathbf{B} & \mathbf{1}_{n-1}^T \mathbf{B} \mathbf{1}_{n-1} \end{pmatrix …
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