Matrix multiplication is one of the most basic algebraic operations. Since Strassen's surprising breakthrough algorithm from 1969, which showed that matrices can be multiplied faster than the most ...

Digital Signal Processing (DSP) is the basis for many modern technological applications, including mobile communications, radar, imaging for health care, and multi-media devices that process audio and ...

For this introduction I am going to define key terms so we can do into more depth about the applications and uses of data structures and algorithms. These will be the key terms defined in this section ...

Abstract: In this paper, we propose three modular multiplication algorithms that use only the IEEE 754 binary floating-point operations. Several previous studies have used floating-point operations to ...

This is an implementation of the Karatsuba polynomial multiplication algorithm in the LEGv8 assembly language, a RISC ISA part of the ARM architecture family. This was done as my final project for ECE ...

Abstract: This paper presents two improved modular multiplication algorithms: variable length Interleaved modular multiplication (VLIM) algorithm and parallel modular multiplication (P_MM) method ...

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, ...

Human reasoning discovers principles from the world and systematizes them into rule-based knowledge such as mathematical equations, medical treatment protocols, chemical synthesis pathways and ...

Multiplication facts typically describe the answers to multiplication sums up to 10x10. Sums up to 10x10 are called “facts” as it is expected they can be easily and quickly recalled. You may recall ...