feat:node-modules

node_modules/mathjs/lib/cjs/function/algebra/lyap.js

@@ -0,0 +1,58 @@
+"use strict";
+
+Object.defineProperty(exports, "__esModule", {
+  value: true
+});
+exports.createLyap = void 0;
+var _factory = require("../../utils/factory.js");
+const name = 'lyap';
+const dependencies = ['typed', 'matrix', 'sylvester', 'multiply', 'transpose'];
+const createLyap = exports.createLyap = /* #__PURE__ */(0, _factory.factory)(name, dependencies, _ref => {
+  let {
+    typed,
+    matrix,
+    sylvester,
+    multiply,
+    transpose
+  } = _ref;
+  /**
+   *
+   * Solves the Continuous-time Lyapunov equation AP+PA'+Q=0 for P, where
+   * Q is an input matrix. When Q is symmetric, P is also symmetric. Notice
+   * that different equivalent definitions exist for the Continuous-time
+   * Lyapunov equation.
+   * https://en.wikipedia.org/wiki/Lyapunov_equation
+   *
+   * Syntax:
+   *
+   *     math.lyap(A, Q)
+   *
+   * Examples:
+   *
+   *     const A = [[-2, 0], [1, -4]]
+   *     const Q = [[3, 1], [1, 3]]
+   *     const P = math.lyap(A, Q)
+   *
+   * See also:
+   *
+   *     sylvester, schur
+   *
+   * @param {Matrix | Array} A  Matrix A
+   * @param {Matrix | Array} Q  Matrix Q
+   * @return {Matrix | Array} Matrix P solution to the Continuous-time Lyapunov equation AP+PA'=Q
+   */
+  return typed(name, {
+    'Matrix, Matrix': function (A, Q) {
+      return sylvester(A, transpose(A), multiply(-1, Q));
+    },
+    'Array, Matrix': function (A, Q) {
+      return sylvester(matrix(A), transpose(matrix(A)), multiply(-1, Q));
+    },
+    'Matrix, Array': function (A, Q) {
+      return sylvester(A, transpose(matrix(A)), matrix(multiply(-1, Q)));
+    },
+    'Array, Array': function (A, Q) {
+      return sylvester(matrix(A), transpose(matrix(A)), matrix(multiply(-1, Q))).toArray();
+    }
+  });
+});