Recursive Solution (Naive)
The recursive solution (naive) for matrix chain multiplication repeatedly splits the chain at different positions and calculates the cost, returning the minimum number of multiplications needed.
Example:
Javascript
function matrixChain(p, i, j) { if (i === j) return 0; let minCost = Number.MAX_SAFE_INTEGER; for (let k = i; k < j; k++) { let cost = matrixChain(p, i, k) + matrixChain(p, k + 1, j) + p[i - 1] * p[k] * p[j]; if (cost < minCost) { minCost = cost; } } return minCost; } const dimensions = [10, 30, 5, 60]; const result = matrixChain(dimensions, 1, dimensions.length - 1); console.log( "Minimum number of multiplications:" , result); |
Minimum number of multiplications: 4500
Matrix Chain Multiplication by using JavaScript
In this article, we are going to learn about Matrix Chain Multiplication by using JavaScript, Matrix Chain Multiplication refers to finding the most efficient way to multiply a sequence of matrices together, minimizing the total number of scalar multiplications required.