Question

Let $\|.\|$ be a norm on $\mathbb{R}^n$, and let $A$ be an $n\times n$ matrix. Put $\|x\|'=\|Ax\|$. What are the precise conditions on $A$ to ensure

score 47 · Answer 1 · 2026-04-12 06:11:15

47

Views

Let $\|.\|$ be a norm on $\mathbb{R}^n$, and let $A$ be an $n\times n$ matrix. Put $\|x\|'=\|Ax\|$. What are the precise conditions on $A$ to ensure

Published on 12 Apr 2026 - 6:11

score 42 · Answer 2 · 2026-03-25 06:08:28

42

Views

Two equivalent ways of polynomial regression?

Published on 25 Mar 2026 - 6:08

score 398 · Answer 3 · 2026-03-27 00:05:58

398

Views

Prove that if $A$ is diagonally dominant and if $Q$ is chosen as in the Jacobi method, then $\rho(I-Q^{-1}A)<1$

Published on 27 Mar 2026 - 0:05

score 58 · Answer 4 · 2026-03-25 11:05:19

58

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How this $\int_0^{a}x^\text{erf(exp(-x))}dx$ behaves?

Published on 25 Mar 2026 - 11:05

score 56 · Answer 5 · 2018-04-22 17:24:43

56

Views

Find $ x_3 \ $ using iteration method

Published on 22 Apr 2018 - 17:24

score 26 · Answer 6 · 2018-04-22 20:44:35

26

Views

Explain '' Lagrangian interpolating method has complexity $ \ O(N^2) \ $ ''

Published on 22 Apr 2018 - 20:44

score 33 · Answer 7 · 2026-04-12 19:41:42

33

Views

Let $A$ be invertible, and let $f$ be a function of the form $f(z)=\sum_{j=-m}^{m}c_jz^j$. Show that if $\lambda$ is an eigenvalue of $A$

Published on 12 Apr 2026 - 19:41

score 1.1k · Answer 8 · 2026-03-25 03:03:11

1.1k

Views

Extent of uniqueness of QR decomposition

Published on 25 Mar 2026 - 3:03

score 165 · Answer 9 · 2026-04-12 07:12:43

165

Views

Lagrange interpolation error.

Published on 12 Apr 2026 - 7:12

score 92 · Answer 10 · 2026-04-07 05:39:13

92

Views

Calculating interpolating polynomial with limited number of divisions

Published on 07 Apr 2026 - 5:39

score 46 · Answer 11 · 2026-03-29 06:27:10

46

Views

Error bound on differentiability of eigenvalues

Published on 29 Mar 2026 - 6:27

score 25 · Answer 12 · 2026-04-12 18:50:50

25

Views

Interpolating polynomial - relation between uniqueness and the error of approximation

Published on 12 Apr 2026 - 18:50

score 159 · Answer 13 · 2026-04-12 17:47:23

159

Views

Invertable matrix representation for 2nd order differentiation or integration of non-equidistant data

Published on 12 Apr 2026 - 17:47

score 93 · Answer 14 · 2018-04-24 03:03:25

93

Views

Characterize the family of all $n\times n$ nonsingular matrices $A$ for which one step of the Gauss-Seidel algorithm solves $Ax=b$, starting at

Published on 24 Apr 2018 - 3:03

score 557 · Answer 15 · 2026-03-24 20:47:46

557

Views

What is inverse inequality in functional/numerical analysis or finite element methods?

Published on 24 Mar 2026 - 20:47

List Question

Let $\|.\|$ be a norm on $\mathbb{R}^n$, and let $A$ be an $n\times n$ matrix. Put $\|x\|'=\|Ax\|$. What are the precise conditions on $A$ to ensure

Two equivalent ways of polynomial regression?

Prove that if $A$ is diagonally dominant and if $Q$ is chosen as in the Jacobi method, then $\rho(I-Q^{-1}A)<1$

How this $\int_0^{a}x^\text{erf(exp(-x))}dx$ behaves?

Find $ x_3 \ $ using iteration method

Explain '' Lagrangian interpolating method has complexity $ \ O(N^2) \ $ ''

Let $A$ be invertible, and let $f$ be a function of the form $f(z)=\sum_{j=-m}^{m}c_jz^j$. Show that if $\lambda$ is an eigenvalue of $A$

Extent of uniqueness of QR decomposition

Lagrange interpolation error.

Calculating interpolating polynomial with limited number of divisions

Error bound on differentiability of eigenvalues

Interpolating polynomial - relation between uniqueness and the error of approximation

Invertable matrix representation for 2nd order differentiation or integration of non-equidistant data

Characterize the family of all $n\times n$ nonsingular matrices $A$ for which one step of the Gauss-Seidel algorithm solves $Ax=b$, starting at

What is inverse inequality in functional/numerical analysis or finite element methods?

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