Given an n x n square matrix A, if there exists another matrix B such that AB = BA = I (where I is the identity matrix), then B is called the inverse matrix of A and is denoted by A-1. The general ...

Numerical-Methods-Project/ │ ├── README.md │ ├── 01_Solution_of_Linear_Equations/ │ │ │ ├── Gauss_Elimination/ │ │ ├── theory.md │ │ ├── code/ │ │ │ └── gauss_elimination.cpp │ │ ├── input.txt │ │ └── ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

One of the ironies of the moment we’re in is that this inversion of good and evil, truth and falsehood has become more widespread and extreme at the very time that science, technology, and ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

Matrix factorization techniques, such as principal component analysis (PCA) and independent component analysis (ICA), are widely used to extract geological processes from geochemical data. However, ...

The elemental imaging of laser ablation inductively coupled plasma mass spectrometry (LA-ICP-MS) provides spatial information on elements and therefore can further investigate the growth or evolution ...

Erasures codes, particularly those protecting against multiple failures in RAID disk arrays, provide a code-specific means for reconstruction of lost (erased) data. In the RAID application this is ...

1 School of Geological Engineering and Geomatics, Chang’an University, Xi’an, China 2 International College, Northwestern Polytechnical University, Xi’an, China Introduction: Young’s modulus and shear ...