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js/jacobi_gauss_seidel.js

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+// Based on https://www.youtube.com/watch?v=F6J3ZmXkMj0
+
+// Using Jacobi and Gauss-Seidel to solve these equations:
+// 5a - b + 2c = 12
+// 3a + 8b - 2c = -25
+// a + b + 4c = 6
+
+let a = 0, b = 0, c = 0;
+let jacobi = false;
+
+function calc_a() { return (12 + b - 2*c) / 5; }
+function calc_b() { return (-25 - 3*a + 2*c) / 8; }
+function calc_c() { return (6 - a - b) / 4; }
+
+for (let i = 0; i < 50; ++i) {
+	if (jacobi) {
+		const new_a = calc_a();
+		const new_b = calc_b();
+		const new_c = calc_c();
+		a = new_a;
+		b = new_b;
+		c = new_c;
+	} else {
+		a = calc_a();
+		b = calc_b();
+		c = calc_c();
+	}
+}
+
+console.log("A = " + a);
+console.log("B = " + b);
+console.log("C = " + c);
+
+console.log("Expected 12, got " + (5*a - b + 2*c));
+console.log("Expected -25, got " + (3*a + 8*b - 2*c));
+console.log("Expected 6, got " + (a + b + 4*c));