Question

Generalized inverse matrix rules

score 537 · Answer 1 · 2018-06-08 00:08:03

537

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Generalized inverse matrix rules

Published on 08 Jun 2018 - 0:08

score 80 · Answer 2 · 2018-10-10 17:11:50

80

Views

Does $ 0 \leq A \leq B \implies 0\leq B^\dagger \leq A^\dagger$?

Published on 10 Oct 2018 - 17:11

score 455 · Answer 3 · 2018-10-19 19:17:16

455

Views

Trace inequality for a product of p.s.d. matrices and their pseudo inverse.

Published on 19 Oct 2018 - 19:17

score 358 · Answer 4 · 2019-01-06 13:44:44

358

Views

$A \in \mathbb{C}^{m\times n}$,$A=FG^$ and $r(A)=r(F)=r(G)$. Prove $A^\dagger = G(F^AG)^{-1}F^$ and $A^\dagger = (G^\dagger)^F^\dagger$

Published on 06 Jan 2019 - 13:44

score 121 · Answer 5 · 2019-03-02 01:40:56

121

Views

Generalized Inverse of GA & J

Published on 02 Mar 2019 - 1:40

score 58 · Answer 6 · 2019-08-06 16:48:04

58

Views

Invertibility modulo the intersection of ideals in $C^*$-algebras

Published on 06 Aug 2019 - 16:48

score 562 · Answer 7 · 2019-09-04 08:22:54

562

Views

Generalized Inverse of Transpose

Published on 04 Sep 2019 - 8:22

score 40 · Answer 8 · 2019-12-04 19:11:03

40

Views

Does $\operatorname{Tr}( (A+B)^ \dagger A) \leq k + \frac{1}{\lambda_{k+1} (B)}\operatorname{Tr}(A)$ for $A$, $B$ sdp and $k \in \mathbb N$?

Published on 04 Dec 2019 - 19:11

score 670 · Answer 9 · 2020-01-01 14:00:25

670

Views

How to understand quasi-inverse of a function f∘g∘f = f?

Published on 01 Jan 2020 - 14:00

score 169 · Answer 10 · 2020-03-28 21:20:08

169

Views

Is the generalized inverse of the gen. inverse of $f$ equal to $f$?

Published on 28 Mar 2020 - 21:20

score 32 · Answer 11 · 2020-05-23 05:38:42

32

Views

How does a Matrix be Generalized with Dirichlet distribution?

Published on 23 May 2020 - 5:38

score 122 · Answer 12 · 2020-06-08 16:07:40

122

Views

Prove: if $x_0$ is a function of $Ax=b$, then there exist some generalized inverse matrix of A, G, s.t. $x_0 = Gb$

Published on 08 Jun 2020 - 16:07

score 393 · Answer 13 · 2016-09-04 12:58:38

393

Views

Non-degenerate distribution function: $F(ax+b)=F(cx+d)$ implies $a=c$ and $b=d$

Published on 04 Sep 2016 - 12:58

score 387 · Answer 14 · 2016-09-05 21:32:36

387

Views

How to compute the generalized inverse of an arbitrary (finite or infinite dim'l) complex matrix using a least squares method?

Published on 05 Sep 2016 - 21:32

score 236 · Answer 15 · 2016-10-21 23:22:44

236

Views

Are there any generalized inverses that would produce a left inverse for a short rectangular matrix?

Published on 21 Oct 2016 - 23:22

List Question

Generalized inverse matrix rules

Does $ 0 \leq A \leq B \implies 0\leq B^\dagger \leq A^\dagger$?

Trace inequality for a product of p.s.d. matrices and their pseudo inverse.

$A \in \mathbb{C}^{m\times n}$,$A=FG^$ and $r(A)=r(F)=r(G)$. Prove $A^\dagger = G(F^AG)^{-1}F^$ and $A^\dagger = (G^\dagger)^F^\dagger$

Generalized Inverse of GA & J

Invertibility modulo the intersection of ideals in $C^*$-algebras

Generalized Inverse of Transpose

Does $\operatorname{Tr}( (A+B)^ \dagger A) \leq k + \frac{1}{\lambda_{k+1} (B)}\operatorname{Tr}(A)$ for $A$, $B$ sdp and $k \in \mathbb N$?

How to understand quasi-inverse of a function f∘g∘f = f?

Is the generalized inverse of the gen. inverse of $f$ equal to $f$?

How does a Matrix be Generalized with Dirichlet distribution?

Prove: if $x_0$ is a function of $Ax=b$, then there exist some generalized inverse matrix of A, G, s.t. $x_0 = Gb$

Non-degenerate distribution function: $F(ax+b)=F(cx+d)$ implies $a=c$ and $b=d$

How to compute the generalized inverse of an arbitrary (finite or infinite dim'l) complex matrix using a least squares method?

Are there any generalized inverses that would produce a left inverse for a short rectangular matrix?

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