Why do some systems collapse suddenly after what seems like a minor disturbance? A single transmission line failure can cascade into widespread blackouts. A delayed shipment can ripple through a ...
Beginning with Lapack version 3.12.1 I obtain wrong eigenvalues and vectors. So far I've only tested on MacOS Tahoe using an M4 processor and compiling Lapack(e) with Clang 21.1.3 and GFortran 15.2.0, ...
Abstract: Based on the transmittance matrix (T-matrix) approach, an efficient and stable rigorous coupled-wave analysis (RCWA) method for ultrathin multilayer gratings without solving eigenvalues is ...
It is often desired to solve eigenvalue problems of the type (A - &lgr;1)C = 0 or (A - &lgr;B)C = 0 repeatedly for similar values of the matrix elements Aij, where A and B are Hermitean or real ...
However, like all smartphones, new iPhones can come with new problems, and sometimes it takes Apple a while to work out all the bugs. The good news is that most glitches early adopters run into are ...
When doing a DFT calculation with kpoint mesh the Eigenvalues of the MOs (and thus the band gap) are not properly written to the Eigenvalue file (cp2k 2024.1). All kpoints are listed in the cp2k ...
Given a convex cone K and matrices A and B, one wishes to find a scalar λ and a nonzero vector x satisfying the complementarity system K ∋ x ⊥(Ax-λ Bx) ∈ K+. This problem arises in mechanics and in ...
Abstract: This letter proposes a quaternion projection gradient ascent (QPGA) iterative algorithm based on generalized $\mathbb {HR}$ calculus for computing the principal eigenvalues and its ...
This article presents a from-scratch C# implementation of the second technique: using SVD to compute eigenvalues and eigenvectors from the standardized source data. If you're not familiar with PCA, ...
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