CPKit
v1.6.1

Matrix Exponentiation

OperationsMedium

Raise a square matrix to the power K using fast binary exponentiation algorithms.

Alt+Shift+7

Configuration Panel

Complexity Indices

Time ComplexityO(N^3 log K)
Auxiliary SpaceO(N^2) state matrix buffer
Conceptual Overview

Matrix Exponentiation computes A^K (power of a square matrix) in O(N^3 log K) logarithmic time steps using binary exponentiation.

Source: CP-Algorithms reference guide