List questions from numerical-linear-algebra

Published on 16 Apr 2026 - 4:58

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Meaning of singular Jacobian and workarounds to Newton's method

Published on 14 Apr 2026 - 13:07

99

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Jacobi Iteration with Shift

Published on 08 Apr 2026 - 11:27

170

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Generalized Eigensystems

Published on 14 Apr 2026 - 11:17

242

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Show that Newton’s Method is well-defined for all k and converges to 0 for $x_0>0$

Published on 12 Apr 2026 - 21:49

147

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Interpolation of polynomials

Published on 13 Apr 2026 - 4:09

177

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Rayleigh quotient ($|r(q)-\lambda|=O(||q-x||_2^2)$ ?)

Published on 17 Apr 2026 - 5:31

273

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Domain for which this matrix is positive definite

Published on 12 Apr 2026 - 8:33

211

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Show that the intersection taken over the Gersgorin discs of all similar matrices of $A$ $=$ $\sigma (A)$

Published on 17 Apr 2026 - 10:00

804

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Suppose that the $n$ Gersgorin discs of $A \in M_n$ are mutually disjoint. If $A$ is real, show that every eigenvalue of $A$ is real.

Published on 15 Apr 2026 - 12:29

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Suppose that $A \in M_n$ is strictly diagonally dominant. Show that $|a_{kk}|$ $\lt C_k'$, for at least one value of $k$

Published on 14 Apr 2026 - 7:37

99

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A problem about a theorem on irreducible matrix

Published on 11 Apr 2026 - 5:16

632

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Eigenvalue inequalities for Hermitian matrices

Published on 13 Apr 2026 - 13:08

28

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If normal linear regression finds $A$ such that $AX \sim Y$, then how do I solve $BAX \sim Y$?

Published on 15 Apr 2026 - 8:18

114

Views

Find the solution of linear equation using Wiedemann/ Krylov method

Published on 11 Apr 2026 - 6:30

List Question

Derivative of $\|Ax-b\|_1$

Meaning of singular Jacobian and workarounds to Newton's method

Jacobi Iteration with Shift

Generalized Eigensystems

Show that Newton’s Method is well-defined for all k and converges to 0 for $x_0>0$

Interpolation of polynomials

Rayleigh quotient ($|r(q)-\lambda|=O(||q-x||_2^2)$ ?)

Domain for which this matrix is positive definite

Show that the intersection taken over the Gersgorin discs of all similar matrices of $A$ $=$ $\sigma (A)$

Suppose that the $n$ Gersgorin discs of $A \in M_n$ are mutually disjoint. If $A$ is real, show that every eigenvalue of $A$ is real.

Suppose that $A \in M_n$ is strictly diagonally dominant. Show that $|a_{kk}|$ $\lt C_k'$, for at least one value of $k$

A problem about a theorem on irreducible matrix

Eigenvalue inequalities for Hermitian matrices

If normal linear regression finds $A$ such that $AX \sim Y$, then how do I solve $BAX \sim Y$?

Find the solution of linear equation using Wiedemann/ Krylov method

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