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Questions tagged [matrix-decomposition]

In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices.

In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices.

In numerical analysis, different decompositions are used to implement efficient matrix algorithms.

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M = [A, B; -B, A] where A is pxp symmetric pd and B is pxp skew-symmetric. When is M pd?

Let M = [A, B; -B, A] be a 2p x 2p matrix where A is p x p symmetric positive definite (pd) real valued matrix and B is a p x p real valued skew-symmetric matrix. Also, the matrix A+iB is pd. Is the Matrix M always a pd? If not, under what…
Sarbojit Roy
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Construct equivalent transform for vectorized Matrix

Equivalent transform for vectorized solution For a given symmetric 4x4 matrix Q and a 3x4 matrix P the 3x3 matrix C is obtained through C=P @ Q @ P.T It can be shown that the output C will be symmetric again. The same problem can be formulated…
rohlemax
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X_transformed_fit_ attribute error: AttributeError: 'KernelPCA' object has no attribute 'X_transformed_fit_'

I am trying to obtain which features in my dataset affects the principal components, and trying to observe how my data fitted in my Kernel PCA algorithm. I tried to use X_transformed_fit_ attribute which exists in documentary but I got this error:…
Beg
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Special Case of Matrix multiplication Using CUDA

I am searching for some special functions (CUDA) that dedicate to typical dense matrix multiplications, e.g. A*B, where the size of A is 6*n, the size of B is n*6 and n is very large (n=2^24). I have utilized CUBLAS and some other libraries to test…
Kernel Key
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