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15
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When is $v^T A w > 0$?

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#linear-algebra #matrices #quadratic-forms #positive-definite #bilinear-form
29
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Quadratic matrix bounds

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#normed-spaces #quadratic-forms #svd
157
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Show that the sesquilinear form is bounded

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#functional-analysis #quadratic-forms #sesquilinear-forms
372
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upper bound for quadratic form in terms of vector norm and eigenvalues

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#matrices #eigenvalues-eigenvectors #normed-spaces #quadratic-forms #upper-lower-bounds
297
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Reducing to its canonical form a quadratic form

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#linear-algebra #quadratic-forms #orthonormal
55
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Calculating the class number for fundamental discriminants -8 and 5

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#number-theory #elementary-number-theory #quadratic-forms
255
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Showing a system of equations has no integer solutions

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#number-theory #modular-arithmetic #systems-of-equations #diophantine-equations #quadratic-forms
287
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Best Lipschitz constant of a gradient of $f(x) = x^T A x$, where $A$ is symmetric positive definite

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#real-analysis #matrices #quadratic-forms #lipschitz-functions #matrix-norms
429
Views

Quadratic Forms on a (finite dimensional real) vector space with same zero set are scalar multiples?

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#linear-algebra #quadratic-forms #bilinear-form
31
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Quadratic Form: sum of quadrants, diagonalization and e.t.c

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#linear-algebra #abstract-algebra #diagonalization #quadratic-forms #bilinear-form
41
Views

Bilinear form: find the maximal sub-space in which $q$ is not atrophied

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#abstract-algebra #matrices #quadratic-forms #trace #bilinear-form
88
Views

diagonalization of quadratic form over R

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#linear-algebra #abstract-algebra #diagonalization #quadratic-forms #bilinear-form
49
Views

find a maximal dimension subspace of a vector space in which quadratic form is nondegenerate

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#abstract-algebra #matrices #quadratic-forms #trace #bilinear-form
334
Views

Is Po-Shen Loh's trick for roots efficient?

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#linear-algebra #roots #quadratic-forms #average
619
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What is the image of $x^{\rm T}Qx\le 1$ under a linear map $x \mapsto Cx$?

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#linear-algebra #linear-transformations #quadratic-forms #positive-definite #positive-semidefinite

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