Solving life's great mysteries often requires detective work, using observed outcomes to determine their cause. For instance, ...

SVD decomposition algorithm (Jacobi version), 4.) Cholesky decomposition (Banachiewicz version). The fact that there are so many different techniques is a direct indication of how tricky it is to ...

where is an -dimensional square matrix with ones on the diagonal, zeros on the diagonal and zeros elsewhere. Note that is a partial pseudo-inverse if the product has a maximal number of ones over all ...

An improved variant of the precise-integration time-domain (PITD) method is proposed to eliminate the inverse matrix calculation and optimize the storage burden with the help of sparse computation.

Both methods are in very good agreement, between 40 keV and 280 keV, with the unfolding obtained by matrix inversion but provide smoother spectra, which is due to the intrinsic regularization property ...

I have two kinds of problems: the urgent and the important. The urgent are not important, and the important are never urgent. — Dwight D. Eisenhower. Sometimes referred to as an Urgency-Importance ...

This result will be used to determine the inverse of the block matrix M. 3. Block Matrix Inversion. To find the inverse of the block matrix M, one can reason by analogy with the method of inversion of ...

For example, a matrix with 20,000 rows and 20,000 columns can be reimagined as a 2-by-2 matrix whose four elements are each 10,000-by-10,000 matrices. Each of these matrices can then be subdivided ...