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Results tagged with matrices
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user 88812
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
5
votes
1
answer
763
views
Perturbations on the pseudoinverse of a matrix
Given a matrix $A \in \mathbb{R}^{n\times m}$, and its perturbation
$$
A_p = A + \Delta
$$
is there a way to represent
$$
(A_p)^{\star}= (A)^{\star} + f(\Delta)
$$
where $(A_p)^{\star}$ ($(A)^{\star …
2
votes
0
answers
130
views
SVD when only off-diagonal terms are known
I have a real matrix $A \in \mathbb{R}^{n\times n}$ such that:
$A$ is symmetric
All the off-diagonal terms are known and positive
Has rank $k<n$
Unfortunately I don't know the values of the diagon …
0
votes
1
answer
1k
views
SVD alternatives for symmetric matrices
; however, under the copmutational point of view, SVD might be very slow on big matrices (its running time is $O(n^3)$). … Is there any known faster alternative to decompose such symmetric matrices? …
0
votes
1
answer
719
views
Unique solution to a matrix equations [closed]
Given any $n \times k$ real matrix $M$, where $n<k$ and $rank(M)=n$, I consider the following equation (where $M'$ is the transpose of $M$):
$$
MM' = MAM'
$$
Then clearly, $A = \mathbb{1}_k $, the $ …