We study several variants of decomposing a symmetric matrix into a sum of a low-rank positive semidefinite matrix and a diagonal matrix. Such decompositions have applications in factor analysis and ...

The trace of a square matrix is the sum of the elements X (i,i) for i = 1 to N (the size of the matrix. The values on the trace constitute the diagonal of the square matrix. square and symmetric -- X ...

In this paper, we obtain a formula for the derivative of a determinant with respect to an eigenvalue in the modified Cholesky decomposition of a symmetric matrix, a characteristic example of a direct ...

I checked the problematic matrix and found that they're symmetric, and the off-diagonal values are very small (close to 0). I tried to enforce the matrix as symmetric by using "symmatu/symmatl" but ...

SymPy successfully recognized that the result is an identity matrix. I tested its identity-ness by element-wise, queries, and sum of the diagonal elements and received expected results.

Lilly Wachowski, the co-director of Keanu Reeves-starrer The Matrix trilogy, says it was her and sister Lana's "original intention" that the films be viewed as transgender allegory. During a ...