List questions from quadratic-forms

Published on 29 Mar 2026 - 14:02

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Numbers with a unique partition as a sum of two squares

Published on 25 Mar 2026 - 7:48

116

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Gradient of $w \mapsto\|y-Xw\|_2^2$

Published on 21 Jul 2023 - 15:43

104

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Differentiation matrix notation

Published on 25 Mar 2026 - 17:17

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Reference request: Quotient of quadratic forms

Published on 22 Jul 2023 - 22:10

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Suppose that $f: \mathbb R^3 →\mathbb R$, where $f$ is defined by $f(x_1, x_2, x_3)=3x_1-2x_3+x_1(2x_2-1)+(x_1+x_2-x_3)^2-1000$

Published on 28 Jul 2023 - 8:36

48

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Are $2 × 2$ minors sufficient for positive definiteness?

Published on 28 Jul 2023 - 21:17

41

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Analytically minimizing a quadratic function

Published on 30 Jul 2023 - 15:45

72

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Setting the minimum point of a quadratic function

Published on 31 Jul 2023 - 18:21

58

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Proving that a quadratic form has a single eigenvalue in an open interval

Published on 03 Aug 2023 - 16:52

81

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On integral equivalence of forms

Published on 04 Aug 2023 - 2:42

132

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When is $(A + A^\top)$ PSD even though A is not PSD?

Published on 28 Mar 2026 - 2:49

69

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Minima of $\frac{a+b+c}{b-a}$ for a,b,c in $f(x) = ax^2 + bx + c \geq 0$ and $a < b$

Published on 09 Aug 2023 - 16:56

119

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Show that the matrix $A$ is positive definite

Published on 27 Mar 2026 - 4:17

76

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Maximum value of quadratic form over unit hypercube

Published on 16 Aug 2023 - 22:12

List Question

Show the minimum value of a quadratic form with submatrix

Numbers with a unique partition as a sum of two squares

Gradient of $w \mapsto\|y-Xw\|_2^2$

Differentiation matrix notation

Reference request: Quotient of quadratic forms

Suppose that $f: \mathbb R^3 →\mathbb R$, where $f$ is defined by $f(x_1, x_2, x_3)=3x_1-2x_3+x_1(2x_2-1)+(x_1+x_2-x_3)^2-1000$

Are $2 × 2$ minors sufficient for positive definiteness?

Analytically minimizing a quadratic function

Setting the minimum point of a quadratic function

Proving that a quadratic form has a single eigenvalue in an open interval

On integral equivalence of forms

When is $(A + A^\top)$ PSD even though A is not PSD?

Minima of $\frac{a+b+c}{b-a}$ for a,b,c in $f(x) = ax^2 + bx + c \geq 0$ and $a < b$

Show that the matrix $A$ is positive definite

Maximum value of quadratic form over unit hypercube

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