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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...

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...

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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...

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...

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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...

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...

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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...

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...

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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; ...

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; ...

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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.

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.

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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...

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...

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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...

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...

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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...

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...

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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...

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...

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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...

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...

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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...

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...

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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...

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...

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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...

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...

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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...

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...

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Seasonal Breakdown from a Time Series data

Perhaps the trenddecomp function would be useful? It has an optional input period where a vector of several periods can also be ...

Seasonal Breakdown from a Time Series data

Perhaps the trenddecomp function would be useful? It has an optional input period where a vector of several periods can also be ...

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How to find all the downstream nodes from a node in a graph?

Looking at this again due to the recent comment added, it might be simpler to use a directed graph instead of an undirected one:...

How to find all the downstream nodes from a node in a graph?

Looking at this again due to the recent comment added, it might be simpler to use a directed graph instead of an undirected one:...

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Which solver should I use to solve a square and symmetric, linear system of equations?

The first thing to check is the size and density of your matrix. The SYMMLQ function you mentioned is one of a group of methods ...

Which solver should I use to solve a square and symmetric, linear system of equations?

The first thing to check is the size and density of your matrix. The SYMMLQ function you mentioned is one of a group of methods ...

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Can we compute the graph Laplacian matrix for a directed graph?

It depends how you want to define it, there is no one consistent definition of what the graph laplacian of a directed graph is. ...

Can we compute the graph Laplacian matrix for a directed graph?

It depends how you want to define it, there is no one consistent definition of what the graph laplacian of a directed graph is. ...

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eigs using 'smallestabs' vs scalar

Hi Jack, I had initially misunderstood that you were getting different results when passing in 'smallestabs' vs. passing in the...

eigs using 'smallestabs' vs scalar

Hi Jack, I had initially misunderstood that you were getting different results when passing in 'smallestabs' vs. passing in the...

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missing eigenvector when using eig on defective matrix

The short answer is that this is a case where a small change in the input matrix has a large effect on the eigenvectors being co...

missing eigenvector when using eig on defective matrix

The short answer is that this is a case where a small change in the input matrix has a large effect on the eigenvectors being co...

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THE GRAPH FUNCTION DOESN'T CONSIDER WEIGHTS

Hard to say what's going wrong without seeing your code. Here's an example where you can see the weights being used to decide on...

THE GRAPH FUNCTION DOESN'T CONSIDER WEIGHTS

Hard to say what's going wrong without seeing your code. Here's an example where you can see the weights being used to decide on...

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mldivide (backslash): advantage by using sparse matrix instead of a full matrix with respect to the quality of the results?

The condition estimate used in mldivide to decide if a warning should be given is much less accurate for the sparse case. This i...

mldivide (backslash): advantage by using sparse matrix instead of a full matrix with respect to the quality of the results?

The condition estimate used in mldivide to decide if a warning should be given is much less accurate for the sparse case. This i...

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LDL does not support complex symmetric matrices

Largely the reason LDL doesn't support this is that it's less commonly requested for complex symmetric matrices than for complex...

LDL does not support complex symmetric matrices

Largely the reason LDL doesn't support this is that it's less commonly requested for complex symmetric matrices than for complex...

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Inconsistency in behavior of SVD

Firstly, I agree completely with John's great explanations above: Any singular value below eps*first singular value should be tr...

Inconsistency in behavior of SVD

Firstly, I agree completely with John's great explanations above: Any singular value below eps*first singular value should be tr...

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Accuracy Problem when solving linear equation system using: lu(S) vs. decomposition(S,'lu')

The version in decomposition does some optional steps of iterative refinement: It uses the same solution you have above based on...

Accuracy Problem when solving linear equation system using: lu(S) vs. decomposition(S,'lu')

The version in decomposition does some optional steps of iterative refinement: It uses the same solution you have above based on...

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Need help fixing errors on code written in old MATLAB syntax

I'd also recommend replacing the calls svd(A) and svd(A, 0) with calling svd(A, 'econ'), since the code here is only using the f...

Need help fixing errors on code written in old MATLAB syntax

I'd also recommend replacing the calls svd(A) and svd(A, 0) with calling svd(A, 'econ'), since the code here is only using the f...

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Different results on different computers, Matlab 2021b - 64 bit, windows 64 bit, both Intel chips

First, about "which value to trust?" Both values are equally trustworthy, the differences in results come down to applying the ...

Different results on different computers, Matlab 2021b - 64 bit, windows 64 bit, both Intel chips

First, about "which value to trust?" Both values are equally trustworthy, the differences in results come down to applying the ...

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eigs with Extended Capabilities

The first of these would only be useful if you need to apply EIGS to many problems in parallel, in which case each of these coul...

eigs with Extended Capabilities

The first of these would only be useful if you need to apply EIGS to many problems in parallel, in which case each of these coul...

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How to parallelize many small SVD's on a GPU

As of R2021b, there is a function pagesvd which is supported on both CPU and distributed arrays. It's not supported for gpuArray...

How to parallelize many small SVD's on a GPU

As of R2021b, there is a function pagesvd which is supported on both CPU and distributed arrays. It's not supported for gpuArray...

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