List questions from quadratic-forms

Published on 26 Feb 2018 - 21:12

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What does nondegenerate means for quadratic forms?

Published on 27 Feb 2018 - 11:34

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Derivation of $\frac{\partial{J}}{\partial{K}}$ with $J=\text{Tr}((I-KC)P(I-KC)^T)$

Published on 25 Feb 2026 - 22:28

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All roots $\lambda$ of $\det(A-\lambda B)=0$ are $\ge1$ when $B$ is p.d and $A-B$ is n.n.d.

Published on 28 Feb 2018 - 20:19

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If $M$ is p.d with $M^{-1}=\pmatrix{A&B\\C&D}^{-1}=\pmatrix{P&Q\\R&S}$, then $P-A^{-1}$ is n.n.d.

Published on 01 Mar 2018 - 6:30

219

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maximum of the $\sum_{1\le i<j\le n}a_{i}a_{j}(x_{i}y_{j}-x_{j}y_{i})^2$

Published on 05 Mar 2018 - 1:35

391

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Question about norm of bilinear form

Published on 17 Mar 2026 - 1:31

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Quadratic forms over complex numbers

Published on 06 Mar 2018 - 22:40

397

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The isotropic cone of a positive semi-definite bilinear is a subspace of $\Bbb R^n$.

Published on 08 Mar 2018 - 16:20

185

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Question on positive definite quadratic forms

Published on 22 Mar 2026 - 13:36

192

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Compare two quadratic function

Published on 11 Mar 2018 - 18:00

210

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Quadratic forms and real quadratic fields

Published on 12 Mar 2018 - 11:38

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Solve $a$ in a way that $ x^3+ax^2+3ax-10x=0 $ has two solutions

Published on 14 Mar 2018 - 13:02

632

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Smallest positive integer represented by a quadratic form

Published on 15 Mar 2018 - 17:06

73

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Intersection form of a Pseudomanifold

Published on 23 Mar 2026 - 13:05

List Question

Representation of Positive Integers by Binary Quadratic Forms

What does nondegenerate means for quadratic forms?

Derivation of $\frac{\partial{J}}{\partial{K}}$ with $J=\text{Tr}((I-KC)P(I-KC)^T)$

All roots $\lambda$ of $\det(A-\lambda B)=0$ are $\ge1$ when $B$ is p.d and $A-B$ is n.n.d.

If $M$ is p.d with $M^{-1}=\pmatrix{A&B\\C&D}^{-1}=\pmatrix{P&Q\\R&S}$, then $P-A^{-1}$ is n.n.d.

maximum of the $\sum_{1\le i<j\le n}a_{i}a_{j}(x_{i}y_{j}-x_{j}y_{i})^2$

Question about norm of bilinear form

Quadratic forms over complex numbers

The isotropic cone of a positive semi-definite bilinear is a subspace of $\Bbb R^n$.

Question on positive definite quadratic forms

Compare two quadratic function

Quadratic forms and real quadratic fields

Solve $a$ in a way that $ x^3+ax^2+3ax-10x=0 $ has two solutions

Smallest positive integer represented by a quadratic form

Intersection form of a Pseudomanifold

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