feat: add new algorithms

src/matrix/matrix_special.jl

@@ -0,0 +1,78 @@
+"""
+    hankel(A, b = 1)
+Make a hankel matrix
+
+# Arguments:
+- A : Size of matrix
+
+# Example
+```julia
+hankel(5)
+```
+# Contributors:
+- [Ateng-labrador](https://github.com/Ateng-labrador)
+"""
+function hankel(A, b = 1)
+    res = []
+    for i = b:A
+        row = []
+        for j = b:A
+            push!(row, i + j - 1)
+        end
+        push!(res, row)
+    end
+    return res
+end
+
+
+"""
+    toeplite(A, b = 1)
+Make a toeplite matrix
+
+# Arguments:
+- A : Size of matrix
+
+# Example
+```julia
+toeplite(3)
+```
+# Contributors:
+- [Ateng-labrador](https://github.com/Ateng-labrador)
+""" 
+function toeplite(A, b = 1)
+    res = []
+    for i=b:A
+        row = []
+        for j=b:A
+            push!(row, i - j)
+        end
+        push!(res, row)
+    end
+    return res
+end
+
+"""
+    hilbert(A, b = 1)
+Make a hilbert matrix
+
+# Arguments:
+- A : Size of matrix
+
+# Example
+```julia
+hilbert(4)
+```
+# Contributors:
+- [Ateng-labrador](https://github.com/Ateng-labrador)
+"""
+function hilbert(A, b = 1)
+    res = []
+    for i=b:A
+        row = []
+        for j=b:A
+            push!(row, 1 / (i+j-1))
+        end
+        push!(res, row)
+    end
+    return res
+end