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# Christine Tobler

### MathWorks

Last seen: 3 días hace Con actividad desde 2015

Professional Interests: numerical linear algebra, graph algorithms

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Proof of relation between the generalized singular values of gsvd(A,B) and gsvd(B,A)
The background for this is the 5-output form of the GSVD: [U,V,X,C,S] = gsvd(A,B) returns unitary matrices U and V, a (usually)...

3 días hace | 0

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Update a sparse matrix efficiently
The fastest way to construct a sparse matrix will be when the inputs are sorted, first by columns and then by rows. You can veri...

17 días hace | 0

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Given a big square matrix and some eigenvalues, how to find the corresponding eigenvectors?
I wouldn't expect a 3072-by-3072 matrix to be a problem on the machine you describe. Could you try to run the following on your ...

alrededor de 1 mes hace | 0

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new interface for QR decomposition in Matlab 2022a
Yes, we made this change for R2022a. I'm sorry this has caused problems for you, @Klaus Diepold, could you share how you had bee...

alrededor de 2 meses hace | 1

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how to find eigenvalues using the determinant ?
The determinant should only be used explicitly to solve an eigenvalue problem for symbolic calculation (for example, when you so...

3 meses hace | 2

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GUI crashes when using eigs with a nonzero shift on a large generalised eigenvalue problem.
Ideally this shouldn't crash, but produce an out-of-memory error. However, for example on Linux there is the "out-of-memory kill...

4 meses hace | 0

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GPU speed up for pcg() is disappointing
It looks like you can simply replace your current call to pcg with x = pcg(A, b, tol, 5000, @(y) L\y, @(y)L'\y); as the error ...

5 meses hace | 0

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What is matlab doing under the hood when I solve this generalized eigenvalue problem?
You can use the Display option to get some more information on what's going on inside of eigs. load matrices.mat [V,D] = eigs(...

5 meses hace | 1

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Trapz error in calculating 2D integrals: ORDER contains an invalid permutation index
Replace the line I = cumtrapz(y,cumtrapz(x,MBerry(keySet),2)); with I = cumtrapz(y,cumtrapz(x,MBerry(keySet),2), 1); Here'...

5 meses hace | 0

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`svd` sometimes blows up - how to fix it?
In short, the problem is that pinv_modified is based on a misunderstanding of the workaround here. The idea is to check if SVD f...

6 meses hace | 1

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Calculating node coordinates for a graph without plot command
Unfortunately there isn't a way to get these coordinates without plotting. I have added your request for such a function to our ...

6 meses hace | 1

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'MarkerEdgeColor' for Graph/Digraph Nodes
Yes, MATLAB's graph and digraph plots only have one NodeColor property which applies to both the marker's FaceColor and EdgeColo...

6 meses hace | 0

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How to convert a graph / edges list into a shapefile (.shp) ?
There isn't a direct way to do this with a graph object. The mapping toolbox has a shapewrite function which produces a .shp fil...

7 meses hace | 0

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Condition number of empty matrix
The case of a 0-by-0 matrix doesn't have any very useful definition, as you note correctly in the comments above. MATLAB does w...

7 meses hace | 1

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How to fix **Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.053110e-20.** ?
Yes, the matrix A becomes singular after applying the last two for-loops (which I think are the boundary conditions). You can v...

8 meses hace | 1

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How to check if there is an edge between two nodes in an undirected graph?
Call findedge(g, node1, node2). If there is no edge connecting these nodes, the output is zero. Otherwise, the output is the ind...

9 meses hace | 0

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Why does lu function yield different lower triangle matrix if I return [L,U] rather than [L, U, P]?
The LU decomposition really involves three new matrices: An upper-triangular matrix U, a lower-triangular matrix L, and a permut...

9 meses hace | 0

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How to find a permutation matrix to turn a general hermitian matrix into a block diagonal one?
First, we should keep in mind that the task is really to find a representation of A with as small blocks on the diagonal as poss...

9 meses hace | 0

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Interpreting eigenvalues and eigenvectors when using symbolic toolbox
I'm getting both 4 eigenvalues and 4 eigenvectors when running your code: linkMatrix = [0,1/3,1/3,1/3; 0,0,1,0; ...

9 meses hace | 0

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Different behaviour in indexing between table and digraph node table
This is a bug in digraph, thank you for reporting it! I have passed it along and it will be fixed in a future release.

9 meses hace | 0

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Linking nodes using links in a graph based on information from another layer
You could represent the first layer as a graph object, adding coordinate information for each node to the Nodes table. For the s...

9 meses hace | 0

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Error message when trying to compute EOF with covariance matrix.
The problem is that the covariance matrix becomes very large here. Luckily, it's not necessary to compute this matrix explicitly...

9 meses hace | 0

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Sorting eigenvectors using symbolic toolbox for PageRank algorithm
There's an unknown variable in the value you pass to sort, so this won't be sorted by magnitude as the magnitude isn't known. H...

9 meses hace | 0

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eigenvalue and eigenvector of free vibration while stiffness matrix is not invertable
If eig has been working well for the size of your problem you could consider using [U, D] = eig(K, M); %this solves K*U = M*U*D...

9 meses hace | 1

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Finding a node in graph with most mutually adjacent nodes
Thanks for adding the tag, Steve! Here's another idea for how to do this. So you want to find all pairs of edges that go a->b a...

9 meses hace | 1

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eigen value what i am getting from matlab software that is not exact when i am compairing with hand calculated value and the mode shape i am getting is reverse
The results look correct to me, can you say what you are expecting instead? Two points that are maybe relevant: MATLAB does num...

10 meses hace | 0

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The node number in the digraph does not match the node number used in shortestpath().
Try putting the node numbers in quotes: [path,d, edgepath] = shortestpath(G,"228","231"); You have given each node a name, and...

10 meses hace | 1

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Unitary matrix with non-orthogonal eigenvectors?
The short answer is that it's possible to compute an orthonormal basis of eigenvectors for an orthogonal matrix, but that MATLAB...

10 meses hace | 2

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Eigenvalue problem on non-Hermitian matrix
You can think of it like this: If there is an invertible V such that inv(V)*H*V=D, then you can expect that the matrix myW = inv...

10 meses hace | 0