![]() In other words, there is no matter how the matrices are parenthesize to perform the product. We can have several ways to multiply the given number of matrices because the matrix multiplication is associative. Matrix Chain Multiplication is one of the optimization problem which is widely used in graph algorithms, signal processing and network industry. ![]() This algorithm does not take O(n 3) if any two of the S values are not same and O(n 3) when the two values of S are same in the worst case. The viability of this new algorithm is demonstrated using few examples and the performance is computationally verified. ![]() Here we present improved algorithm for matrix chain multiplication with minimum space and time complexities. ![]() However the matrix chain multiplication is a dynamic programming paradigm and takes O(n 3) computational complexity. Let A 1, A 2.An be the given sequence of n matrices, generally matrix chain multiplication algorithm is used to obtain its-product with minimum cost(lowest cost). Received 24 January 2018 Accepted 28 July 2018 Publication 17 September 2018 Abstract Vignan’s Foundation for Science Technology and Research, AP, India
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