Update README.md

README.md

@@ -15,6 +15,9 @@ A simple script to implement linear algebra functions not provided by the Lua st
 Documentation
 ---
 
+### Matrix Functions
+#### Matrix Instantiation Functions
+
 <details>
 <summary><code>linalg.matrix.new = function(rows)</code></summary>
 
@@ -85,6 +88,8 @@ An n-length array whose entries will be set as the diagonal entries
 
 </details>
 
+#### Matrix Classification Functions
+
 <details>
 <summary><code>linalg.matrix.isDiagonal = function(mat)</code></summary>
 
@@ -134,6 +139,8 @@ True if the matrix is lower triangular, false otherwise
 
 </details>
 
+#### Basic Matrix Operation Functions
+
 <details>
 <summary><code>linalg.matrix.transpose = function(mat)</code></summary>
 
@@ -167,6 +174,23 @@ The matrix exponential approximation
 
 </details>
 
+### Vector Functions
+#### Vector Instantiation Functions
+
+<details>
+<summary><code>linalg.vector.new = function(values)</code></summary>
+
+Creates a new column vector
+
+**Parameters:**
+- `values` (`array<number>`)  
+The values to have for the column vector
+
+**Returns:**  
+[t:(n x 1) matrix] The new column vector
+
+</details>
+
 <details>
 <summary><code>linalg.vector.e = function(i, n)</code></summary>
 
@@ -184,6 +208,8 @@ The dimensionality of the vector
 
 </details>
 
+#### Vector Norm Functions
+
 <details>
 <summary><code>linalg.vector.norm.l1 = function(v)</code></summary>
 
@@ -232,6 +258,8 @@ The resulting value
 
 </details>
 
+#### Vector Inner Product Functions
+
 <details>
 <summary><code>linalg.vector.ip.dot = function(v1, v2)</code></summary>
 
@@ -250,6 +278,8 @@ The result
 
 </details>
 
+#### Basic Vector Operation Functions
+
 <details>
 <summary><code>linalg.vector.project = function (v, u, innerProductFunc, normFunc)</code></summary>
 
@@ -304,6 +334,8 @@ The angle to rotate by (in radians)
 
 </details>
 
+#### Vector Space Functions
+
 <details>
 <summary><code>linalg.gramSchmidt = function (u, epsilon, dim, innerProductFunc, normFunc)</code></summary>
 

lib/linalg.lua

@@ -693,6 +693,13 @@ end
 -- VECTOR FUNCTIONS
 linalg.vector = {}
 
+--[[**
+	Creates a new column vector
+
+	@param [t:array<number>] values The values to have for the column vector
+
+	@returns [t:(n x 1) matrix] The new column vector
+**--]]
 linalg.vector.new = function(values)
 	local rows = {}