feat: Implement multiplying chains of matrices using dynamic programm…

…ing (#141)

docs/VECTOR.api.md

@@ -98,6 +98,9 @@ export function center<S>(A: Matrix<S>): Matrix<S>;
 // @public
 export function centralDifferenceMatrix(binCount: number): NumberMatrix;
 
+// @public
+export function chainProduct<S>(...matrices: Matrix<S>[]): Matrix<S>;
+
 // @public
 export interface CholeskyDecomposition<S> {
     // (undocumented)
@@ -373,7 +376,7 @@ export function isOrthonormal<S>(matrix: Matrix<S>): boolean;
 export function isSparse<S>(vector: Vector<S>): vector is SparseVector<S>;
 
 // @public
-export function isSquare(matrix: Matrix<any>): boolean;
+export function isSquare<S>(matrix: Matrix<S>): boolean;
 
 // @public
 export function isSymmetric<S>(matrix: Matrix<S>): boolean;

docs/api/vector.chainproduct.md

@@ -0,0 +1,28 @@
+<!-- Do not edit this file. It is automatically generated by API Documenter. -->
+
+[Home](./index.md) &gt; [@josh-brown/vector](./vector.md) &gt; [chainProduct](./vector.chainproduct.md)
+
+## chainProduct() function
+
+Returns the product of the given array of matrices.
+
+<b>Signature:</b>
+
+```typescript
+export declare function chainProduct<S>(...matrices: Matrix<S>[]): Matrix<S>;
+```
+
+## Parameters
+
+|  Parameter | Type | Description |
+|  --- | --- | --- |
+|  matrices | [Matrix](./vector.matrix.md)<!-- -->&lt;S&gt;\[\] | The array of matrices to multiply |
+
+<b>Returns:</b>
+
+[Matrix](./vector.matrix.md)<!-- -->&lt;S&gt;
+
+## Remarks
+
+Uses dynamic programming to determine the order of multiplication that minimizes the total number of scalar multiplications.
+

docs/api/vector.issquare.md

@@ -9,14 +9,14 @@ Tests if a matrix is square.
 <b>Signature:</b>
 
 ```typescript
-export declare function isSquare(matrix: Matrix<any>): boolean;
+export declare function isSquare<S>(matrix: Matrix<S>): boolean;
 ```
 
 ## Parameters
 
 |  Parameter | Type | Description |
 |  --- | --- | --- |
-|  matrix | [Matrix](./vector.matrix.md)<!-- -->&lt;any&gt; | The matrix to check |
+|  matrix | [Matrix](./vector.matrix.md)<!-- -->&lt;S&gt; | The matrix to check |
 
 <b>Returns:</b>
 

docs/api/vector.md

@@ -52,6 +52,7 @@
 |  [center(x)](./vector.center.md) | Returns the vector <code>x</code>, shifted so that its mean is at 0 |
 |  [center(A)](./vector.center_1.md) | Returns the matrix <code>A</code> with each column shifted so that its mean is at 0 |
 |  [centralDifferenceMatrix(binCount)](./vector.centraldifferencematrix.md) | Builds a matrix that transforms a vector to a vector of central differences |
+|  [chainProduct(matrices)](./vector.chainproduct.md) | Returns the product of the given array of matrices. |
 |  [columnSumSupremumNorm(A)](./vector.columnsumsupremumnorm.md) | Calculates the 1-Norm of a matrix <code>A</code> |
 |  [correlation(first, second)](./vector.correlation.md) | Calculates the correlation coefficient r of two vectors |
 |  [correlation(A)](./vector.correlation_1.md) | Calculates the correlation matrix of a matrix <code>A</code> |