Abstract: This paper investigates the average running times and complexities of various root-finding algorithms, including the Affine Method (ARM), Sparse Root Algorithm (SRA), and Branching Tree ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

The original version of this story appeared in Quanta Magazine. If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a ...

The behaviour of general root-finding algorithms is studied in numerical analysis. How-ever, for polynomials, root-finding study belongs generally to computer algebra, sincealgebraic properties of ...

Renri has been playing the Pokemon series as far back as Ruby/Sapphire and as such, her primary topics for strategy guides and lists usually involve Pokemon. She's also an avid Legend of Zelda fan, ...

Abstract: Solving non-linear equations in different scientific disciplines is one of the most important and frequently appearing problems. A variety of real-world problems in different scientific ...