fmincon examples

11 files changed, 348 insertions, 0 deletions

diff --git a/tests/general_tests/fminbnd/fminbnd_logical10.sce b/tests/general_tests/fminbnd/fminbnd_logical10.sce
new file mode 100644
index 0000000..d36072a
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical10.sce
@@ -0,0 +1,30 @@
+
+function y = fun(x)
+	y = -1/(1-x*x);
+endfunction
+x1 = [0];
+x2 = [1000];
+
+//Output
+//
+//Error in step computation (regularization becomes too large?)!
+// lambda  =
+// 
+//   lower: [0x0 constant]
+//   upper: [0x0 constant]
+// output  =
+// 
+//   Iterations: 108
+//   Cpu_Time: 0.064
+//   Message: "Error in step computation (regularization becomes too large?)!"
+// exitflag  =
+// 
+//  10  
+// fopt  =
+// 
+//     []
+// xopt  =
+// 
+//     []
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+
diff --git a/tests/general_tests/fminbnd/fminbnd_logical11.sce b/tests/general_tests/fminbnd/fminbnd_logical11.sce
new file mode 100644
index 0000000..0681d30
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical11.sce
@@ -0,0 +1,31 @@
+
+function y = fun(x)
+	y = -sqrt(x*x);
+endfunction
+x1 = [-10];
+x2 = [-5];
+
+//Output
+//
+//Optimal Solution Found.
+// lambda  =
+// 
+//   lower: 1.0000018
+//   upper: 0.0000018
+// output  =
+// 
+//   Iterations: 5
+//   Cpu_Time: 0.036
+//   Objective_Evaluation: 6
+//   Dual_Infeasibility: 2.390D-11
+//   Message: "Optimal Solution Found"
+// exitflag  =
+// 
+//  0  
+// fopt  =
+// 
+//  - 9.9999909  
+// xopt  =
+// 
+//  - 9.9999909
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
diff --git a/tests/general_tests/fminbnd/fminbnd_logical12.sce b/tests/general_tests/fminbnd/fminbnd_logical12.sce
new file mode 100644
index 0000000..0613aa8
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical12.sce
@@ -0,0 +1,31 @@
+
+function y = fun(x)
+	y = log(x);
+endfunction
+x1 = [-10];
+x2 = [0];
+
+//Output
+//
+//Optimal Solution Found.
+// lambda  =
+// 
+//   lower: 0.0000018
+//   upper: 0.0000018
+// output  =
+// 
+//   Iterations: 4
+//   Cpu_Time: 0.028
+//   Objective_Evaluation: 5
+//   Dual_Infeasibility: 0
+//   Message: "Optimal Solution Found"
+// exitflag  =
+// 
+//  0  
+// fopt  =
+// 
+//    0.  
+// xopt  =
+// 
+//  - 0.7727429
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
diff --git a/tests/general_tests/fminbnd/fminbnd_logical13.sce b/tests/general_tests/fminbnd/fminbnd_logical13.sce
new file mode 100644
index 0000000..64debea
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical13.sce
@@ -0,0 +1,32 @@
+
+function y = fun(x)
+	y = -sqrt(x^3);
+endfunction
+x1 = [-10];
+x2 = [-5];
+
+//Output
+//
+//Optimal Solution Found.
+// lambda  =
+// 
+//   lower: 0.0000036
+//   upper: 0.0000036
+// output  =
+// 
+//   Iterations: 4
+//   Cpu_Time: 0.028
+//   Objective_Evaluation: 5
+//   Dual_Infeasibility: 0
+//   Message: "Optimal Solution Found"
+// exitflag  =
+// 
+//  0  
+// fopt  =
+// 
+//    0.  
+// xopt  =
+// 
+//  - 5.4668503 
+
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
diff --git a/tests/general_tests/fminbnd/fminbnd_logical3.sce b/tests/general_tests/fminbnd/fminbnd_logical3.sce
new file mode 100644
index 0000000..2687733
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical3.sce
@@ -0,0 +1,33 @@
+
+function y = fun(x)
+	y = -1/x;
+endfunction
+x1 = [0];
+x2 = [1.5];
+
+//Output
+//
+//Stop at Tiny Step
+// lambda  =
+// 
+//   lower: 1.235D+14
+//   upper: 0.0000061
+// output  =
+// 
+//   Iterations: 1.663D+09
+//   Cpu_Time: 0.112
+//   Objective_Evaluation: 34
+//   Dual_Infeasibility: 1747.2543
+//   Message: "Stop at Tiny Step"
+// exitflag  =
+// 
+//  3  
+// fopt  =
+// 
+//  - 11111111.  
+// xopt  =
+// 
+//    1.000D-07 
+
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+
diff --git a/tests/general_tests/fminbnd/fminbnd_logical4.sce b/tests/general_tests/fminbnd/fminbnd_logical4.sce
new file mode 100644
index 0000000..69c6960
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical4.sce
@@ -0,0 +1,33 @@
+
+function y = fun(x)
+	y = 1/x;
+endfunction
+x1 = [-10];
+x2 = [0];
+
+//Output
+//
+//Optimal Solution Found.
+// lambda  =
+// 
+//   lower: 0.0000013
+//   upper: 1.235D+14
+// output  =
+// 
+//   Iterations: 18
+//   Cpu_Time: 0.096
+//   Objective_Evaluation: 19
+//   Dual_Infeasibility: 0.0232831
+//   Message: "Optimal Solution Found"
+// exitflag  =
+// 
+//  0  
+// fopt  =
+// 
+//  - 11111339.  
+// xopt  =
+// 
+//  - 1.000D-07  
+
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+
diff --git a/tests/general_tests/fminbnd/fminbnd_logical5.sce b/tests/general_tests/fminbnd/fminbnd_logical5.sce
new file mode 100644
index 0000000..0e9f670
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical5.sce
@@ -0,0 +1,31 @@
+
+function y = fun(x)
+	y = -1/(x*x);
+endfunction
+x1 = [0];
+x2 = [1.5];
+
+//Output
+//
+//Error in step computation (regularization becomes too large?)!
+// lambda  =
+// 
+//   lower: [0x0 constant]
+//   upper: [0x0 constant]
+// output  =
+// 
+//   Iterations: 108
+//   Cpu_Time: 0.06
+//   Message: "Error in step computation (regularization becomes too large?)!"
+// exitflag  =
+// 
+//  10  
+// fopt  =
+// 
+//     []
+// xopt  =
+// 
+//     []
+
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+
diff --git a/tests/general_tests/fminbnd/fminbnd_logical6.sce b/tests/general_tests/fminbnd/fminbnd_logical6.sce
new file mode 100644
index 0000000..d030a86
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical6.sce
@@ -0,0 +1,31 @@
+
+function y = fun(x)
+	y = 1/(x*x);
+endfunction
+x1 = [-10];
+x2 = [0];
+
+//Output
+//
+//Error in step computation (regularization becomes too large?)!
+// lambda  =
+// 
+//   lower: [0x0 constant]
+//   upper: [0x0 constant]
+// output  =
+// 
+//   Iterations: 108
+//   Cpu_Time: 0.06
+//   Message: "Error in step computation (regularization becomes too large?)!"
+// exitflag  =
+// 
+//  10  
+// fopt  =
+// 
+//     []
+// xopt  =
+// 
+//     []
+
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+
diff --git a/tests/general_tests/fminbnd/fminbnd_logical7.sce b/tests/general_tests/fminbnd/fminbnd_logical7.sce
new file mode 100644
index 0000000..8207f92
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical7.sce
@@ -0,0 +1,33 @@
+
+function y = fun(x)
+	y = exp(x);
+endfunction
+x1 = [-1000];
+x2 = [1000];
+
+//Output
+//
+//Optimal Solution Found.
+// lambda  =
+// 
+//   lower: 9.183D-09
+//   upper: 9.001D-09
+// output  =
+// 
+//   Iterations: 10
+//   Cpu_Time: 0.064
+//   Objective_Evaluation: 11
+//   Dual_Infeasibility: 0.0000455
+//   Message: "Optimal Solution Found"
+// exitflag  =
+// 
+//  0  
+// fopt  =
+// 
+//    0.0000455  
+// xopt  =
+// 
+//  - 9.9979363  
+
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+
diff --git a/tests/general_tests/fminbnd/fminbnd_logical8.sce b/tests/general_tests/fminbnd/fminbnd_logical8.sce
new file mode 100644
index 0000000..fa0785c
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical8.sce
@@ -0,0 +1,33 @@
+
+function y = fun(x)
+	y = sin(x)*exp(x);
+endfunction
+x1 = [-1000];
+x2 = [1000];
+
+//Output
+//
+//Optimal Solution Found.
+// lambda  =
+// 
+//   lower: 9.183D-09
+//   upper: 9.001D-09
+// output  =
+// 
+//   Iterations: 10
+//   Cpu_Time: 0.064
+//   Objective_Evaluation: 11
+//   Dual_Infeasibility: 0.0000455
+//   Message: "Optimal Solution Found"
+// exitflag  =
+// 
+//  0  
+// fopt  =
+// 
+//    0.0000455  
+// xopt  =
+// 
+//  - 9.9979363  
+
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+
diff --git a/tests/general_tests/fminbnd/fminbnd_logical9.sce b/tests/general_tests/fminbnd/fminbnd_logical9.sce
new file mode 100644
index 0000000..7581feb
--- /dev/null
+++ b/tests/general_tests/fminbnd/fminbnd_logical9.sce
@@ -0,0 +1,30 @@
+
+function y = fun(x)
+	y = -1/(x*x);
+endfunction
+x1 = [0];
+x2 = [1000];
+
+//Output
+//
+//Error in step computation (regularization becomes too large?)!
+// lambda  =
+// 
+//   lower: [0x0 constant]
+//   upper: [0x0 constant]
+// output  =
+// 
+//   Iterations: 108
+//   Cpu_Time: 0.064
+//   Message: "Error in step computation (regularization becomes too large?)!"
+// exitflag  =
+// 
+//  10  
+// fopt  =
+// 
+//     []
+// xopt  =
+// 
+//     []
+[xopt,fopt,exitflag,output,lambda] = fminbnd (fun, x1, x2)
+