Question

If $(v_n)_n$ is a Hilbert basis for $H$ over $\mathbb{C}$, can you turn $(\mathrm{Re}(v_n), \mathrm{Im}(v_n))_n$ also to a Hilbert basis for $H$?

score 43 · Answer 1 · 2024-02-27 14:40:43

43

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If $(v_n)_n$ is a Hilbert basis for $H$ over $\mathbb{C}$, can you turn $(\mathrm{Re}(v_n), \mathrm{Im}(v_n))_n$ also to a Hilbert basis for $H$?

Published on 27 Feb 2024 - 14:40

score 40 · Answer 2 · 2024-03-06 12:55:30

40

Views

Are Orthogonal Basis perpendicular to Original Basis in Gram-Schmidt?

Published on 06 Mar 2024 - 12:55

score 56 · Answer 3 · 2024-03-10 22:46:09

56

Views

Is the Gram-Schmidt Orthogonalization process for functions the same as it is for vectors?

Published on 10 Mar 2024 - 22:46

score 1.7k · Answer 4 · 2015-06-15 17:24:33

1.7k

Views

Why people use the Gram-Schmidt process instead of just chosing the standard basis

Published on 15 Jun 2015 - 17:24

score 2.8k · Answer 5 · 2016-05-14 10:26:26

2.8k

Views

What is a particular use of Gram-Schmidt orthogonalization?

Published on 14 May 2016 - 10:26

score 2k · Answer 6 · 2013-12-29 17:17:48

2k

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Question about Gram-Schmidt algorithm. Orthogonal diagonalization. Does GS conserve eigen-ness property

Published on 29 Dec 2013 - 17:17

score 5.4k · Answer 7 · 2014-03-02 05:35:47

5.4k

Views

Understanding the Gram-Schmidt process

Published on 02 Mar 2014 - 5:35

score 57 · Answer 8 · 2017-04-24 23:43:22

57

Views

Show that Gram-Schmidt$(Y)$ = $B$Gram-Schmidt$(X)$ such that $B$ is an orthogonal matrix

Published on 24 Apr 2017 - 23:43

score 267 · Answer 9 · 2017-05-10 15:40:44

267

Views

Gram-Schmidt Procedure

Published on 10 May 2017 - 15:40

score 304 · Answer 10 · 2026-03-25 11:00:27

304

Views

Gram-Schmidt-Complex

Published on 25 Mar 2026 - 11:00

score 227 · Answer 11 · 2017-06-02 20:23:36

227

Views

the Inner product of pre-Gram–Schmidt vectors and post-Gram–Schmidt

Published on 02 Jun 2017 - 20:23

score 807 · Answer 12 · 2017-06-05 23:32:05

807

Views

Gram-Schmidt on complex vectors

Published on 05 Jun 2017 - 23:32

score 117 · Answer 13 · 2017-06-16 11:24:27

117

Views

Mathematical proof of Randomized SVD algorithm description

Published on 16 Jun 2017 - 11:24

score 164 · Answer 14 · 2017-07-08 09:38:41

164

Views

finding a basis vector in $\mathbb{R}^4$

Published on 08 Jul 2017 - 9:38

score 138 · Answer 15 · 2017-08-10 19:31:26

138

Views

Find an orthonormal basis for the subspace Gram-Schmidt

Published on 10 Aug 2017 - 19:31

List Question

If $(v_n)_n$ is a Hilbert basis for $H$ over $\mathbb{C}$, can you turn $(\mathrm{Re}(v_n), \mathrm{Im}(v_n))_n$ also to a Hilbert basis for $H$?

Are Orthogonal Basis perpendicular to Original Basis in Gram-Schmidt?

Is the Gram-Schmidt Orthogonalization process for functions the same as it is for vectors?

Why people use the Gram-Schmidt process instead of just chosing the standard basis

What is a particular use of Gram-Schmidt orthogonalization?

Question about Gram-Schmidt algorithm. Orthogonal diagonalization. Does GS conserve eigen-ness property

Understanding the Gram-Schmidt process

Show that Gram-Schmidt$(Y)$ = $B$Gram-Schmidt$(X)$ such that $B$ is an orthogonal matrix

Gram-Schmidt Procedure

Gram-Schmidt-Complex

the Inner product of pre-Gram–Schmidt vectors and post-Gram–Schmidt

Gram-Schmidt on complex vectors

Mathematical proof of Randomized SVD algorithm description

finding a basis vector in $\mathbb{R}^4$

Find an orthonormal basis for the subspace Gram-Schmidt

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