Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. We present an efficient two-level strategy to accelerate the solution of the CASSCF ...

Jonathan Wosen is STAT’s West Coast biotech & life sciences reporter. You can reach Jonathan on Signal at jwosen.27. The decades-long push to develop an HIV vaccine has been riddled with setbacks. But ...

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 ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

I’ve been out of school a long time (I mean a long time), yet I think I’m still pretty good at basic math. I’m always able to figure out whether a “bargain buy” at the supermarket is actually a ...

Abstract: In this paper, a new iterative algorithm for linear matrix-vector equation (LMVE) solving on the basis of Zhang approximation inverse (ZAI) is proposed. The optimal Zhang approximation ...

Are you struggling to solve quadratic equations? Look no further than the “Almighty Formula,” a powerful mathematical tool that can crack even the toughest quadratic puzzles. In this article, you will ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on an implementation of the technique that emphasizes simplicity and ease-of-modification over robustness and ...

Department of Mathematics and Applied Mathematics, Nelson Mandela University, University Way, Summerstrand, Gqeberha, South Africa The plan of this study is detailed below. Section 2 describes the ...

1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...