diff --git a/Algorithms/updateV_js.m b/Algorithms/updateV_js.m
new file mode 100644
index 0000000..d0d6d45
--- /dev/null
+++ b/Algorithms/updateV_js.m
@@ -0,0 +1,15 @@
+function Vstar = updateV_js(U1,U2,W,b,rho,gamma,act)
+    [~,d] = size(W);
+    I = sparse(eye(d));
+    switch act
+        case 1 
+            U1 = max(0,U1); % ReLU
+        case 2
+            U1 = tanh_proj(U1); % tanh
+        case 3
+            U1 = sigmoid_proj(U1); % sigmoid
+    end
+%     alpha = norm(eta2*(M2'*M2)+eta1*eye(d));
+    Vstar = (rho*(W'*W)+gamma*I)\(rho*W'*(U2-b)+gamma*U1);
+
+end
\ No newline at end of file
diff --git a/Algorithms/updateWb_js.m b/Algorithms/updateWb_js.m
new file mode 100644
index 0000000..b2f7469
--- /dev/null
+++ b/Algorithms/updateWb_js.m
@@ -0,0 +1,6 @@
+function [Wstar,bstar] = updateWb_js(U,V,W,b,alpha,rho)
+    [d,N] = size(V);
+    I = sparse(eye(d));
+    Wstar = (alpha*W+rho*(U-b)*V')/(alpha*I+rho*(V*V'));
+    bstar = (alpha*b+rho*sum(U-W*V,2))/(rho*N+alpha);
+end
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diff --git a/Algorithms/updateWb_js_2.m b/Algorithms/updateWb_js_2.m
new file mode 100644
index 0000000..b1a9458
--- /dev/null
+++ b/Algorithms/updateWb_js_2.m
@@ -0,0 +1,6 @@
+function [Wstar,bstar] = updateWb_js_2(U,V,W,b)
+    [d,N] = size(V);
+%     I = sparse(eye(d));
+    Wstar = (U-b)*V'*pinv(V*V');
+    bstar = sum(U-W*V,2)/N;
+end
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