Question

How do I find a vector x such that $x'Ax < 0 $ or make the matrix $A $ no longer SPD?

score 222 · Answer 1 · 2026-03-23 08:53:32

222

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How do I find a vector x such that $x'Ax < 0 $ or make the matrix $A $ no longer SPD?

Published on 23 Mar 2026 - 8:53

score 342 · Answer 2 · 2026-03-25 02:57:41

342

Views

Optimal pivoting strategy in LU factorization

Published on 25 Mar 2026 - 2:57

score 120 · Answer 3 · 2026-03-23 15:02:34

120

Views

Large and ill-conditioned quadratic convex problem

Published on 23 Mar 2026 - 15:02

score 211 · Answer 4 · 2026-03-25 14:22:15

211

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A matrix is similar to its transpose without jordan form

Published on 25 Mar 2026 - 14:22

score 78 · Answer 5 · 2026-03-23 08:16:09

78

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The equivalence of Euclidean norm and finite element norm in 3D for non-uniform meshes

Published on 23 Mar 2026 - 8:16

score 1.6k · Answer 6 · 2026-03-23 09:42:57

1.6k

Views

Determinant of $(I+uv^*)$

Published on 23 Mar 2026 - 9:42

score 108 · Answer 7 · 2026-03-27 14:59:13

108

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Why there are n-r dimensional set of vectors x for rank-deficient least square problem

Published on 27 Mar 2026 - 14:59

score 715 · Answer 8 · 2026-03-23 08:06:09

715

Views

Numerically robust $2\times2$ determinant?

Published on 23 Mar 2026 - 8:06

score 1k · Answer 9 · 2026-03-23 06:38:47

1k

Views

Rayleigh quotient of matrix $A$ is diagonal entry of $Q^*AQ$

Published on 23 Mar 2026 - 6:38

score 32 · Answer 10 · 2026-03-27 15:07:25

32

Views

Proof that if $x$ minimises $\left \| Ax-b \right \|^{2}_2 +\mu\left \| x \right \|^{2}_2$ then it solves regularised normal equations

Published on 27 Mar 2026 - 15:07

score 718 · Answer 11 · 2026-03-22 17:34:42

718

Views

Constrained optimization of l2 norm

Published on 22 Mar 2026 - 17:34

score 77 · Answer 12 · 2026-03-27 16:20:15

77

Views

Logical indexing and for loop question Matlab

Published on 27 Mar 2026 - 16:20

score 46 · Answer 13 · 2026-03-26 19:39:41

46

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Reduced complexity of matrix inversion of sum of rank 1 matrices: $M^{-1} = \left( I + \sum \limits_{i=1}^{K} \alpha_i A_i \right)^{-1} $?

Published on 26 Mar 2026 - 19:39

score 1k · Answer 14 · 2026-03-25 04:39:13

1k

Views

Least Squares Solution of Minimal Norm when $A^{*}b = 0$

Published on 25 Mar 2026 - 4:39

score 152 · Answer 15 · 2026-03-22 17:39:30

152

Views

Estimate the number of iterations

Published on 22 Mar 2026 - 17:39

List Question

How do I find a vector x such that $x'Ax < 0 $ or make the matrix $A $ no longer SPD?

Optimal pivoting strategy in LU factorization

Large and ill-conditioned quadratic convex problem

A matrix is similar to its transpose without jordan form

The equivalence of Euclidean norm and finite element norm in 3D for non-uniform meshes

Determinant of $(I+uv^*)$

Why there are n-r dimensional set of vectors x for rank-deficient least square problem

Numerically robust $2\times2$ determinant?

Rayleigh quotient of matrix $A$ is diagonal entry of $Q^*AQ$

Proof that if $x$ minimises $\left \| Ax-b \right \|^{2}_2 +\mu\left \| x \right \|^{2}_2$ then it solves regularised normal equations

Constrained optimization of l2 norm

Logical indexing and for loop question Matlab

Reduced complexity of matrix inversion of sum of rank 1 matrices: $M^{-1} = \left( I + \sum \limits_{i=1}^{K} \alpha_i A_i \right)^{-1} $?

Least Squares Solution of Minimal Norm when $A^{*}b = 0$

Estimate the number of iterations

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