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 ...

Kernel ridge regression (KRR) is a regression technique for predicting a single numeric value and can deliver high accuracy for complex, non-linear data. KRR combines a kernel function (most commonly ...

Analog computers are systems that perform computations by manipulating physical quantities such as electrical current, that map math variables, instead of representing information using abstraction ...

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 ...

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, ...

Full-waveform inversion (FWI) can provide accurate velocity field for fine imaging in depth domain of seismic data. Its mathematics foundation determines that FWI is a strong nonlinearity with the ...

Abstract: 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 ...

Abstract: This article presents a novel method for accurately and conveniently inverting the relative permittivity and conductivity of half-space medium using a single antenna in the presence of ...

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 ...