Sage Reference Manual: Numerical Optimization - Mirrors

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Sage Reference Manual: Numerical Optimization, Release 6.1.1 sage: from sage.numerical.backends.generic_backend import get_solver sage: p = get_solver(solver = "Nonexistent_LP_solver") # optional - Nonexistent_LP_solver sage: p.is_maximization() # optional - Nonexistent_LP_solver True sage: p.set_sense(-1) # optional - Nonexistent_LP_solver sage: p.is_maximization() # optional - Nonexistent_LP_solver False set_variable_type(variable, vtype) Set the type of a variable INPUT: •variable (integer) – the variable’s id •vtype (integer) : EXAMPLE: –1 Integer –0 Binary – -1 Continuous sage: from sage.numerical.backends.generic_backend import get_solver sage: p = get_solver(solver = "Nonexistent_LP_solver") # optional - Nonexistent_LP_solver sage: p.ncols() # optional - Nonexistent_LP_solver 0 sage: p.add_variable() # optional - Nonexistent_LP_solver 1 sage: p.set_variable_type(0,1) # optional - Nonexistent_LP_solver sage: p.is_variable_integer(0) # optional - Nonexistent_LP_solver True set_verbosity(level) Set the log (verbosity) level INPUT: •level (integer) – From 0 (no verbosity) to 3. EXAMPLE: sage: from sage.numerical.backends.generic_backend import get_solver sage: p = get_solver(solver = "Nonexistent_LP_solver") # optional - Nonexistent_LP_solver sage: p.set_verbosity(2) # optional - Nonexistent_LP_solver solve() Solve the problem. Note: This method raises MIPSolverException exceptions when the solution can not be computed for any reason (none exists, or the LP solver was not able to find it, etc...) EXAMPLE: sage: from sage.numerical.backends.generic_backend import get_solver sage: p = get_solver(solver = "Nonexistent_LP_solver") # optional - Nonexistent_LP_solver sage: p.add_linear_constraints(5, 0, None) # optional - Nonexistent_LP_solver sage: p.add_col(range(5), range(5)) # optional - Nonexistent_LP_solver sage: p.solve() # optional - Nonexistent_LP_solver 58 Chapter 5. LP Solver backends
Sage Reference Manual: Numerical Optimization, Release 6.1.1 0 sage: p.objective_coefficient(0,1) sage: p.solve() Traceback (most recent call last): ... MIPSolverException: ... # optional - Nonexistent_LP_solver # optional - Nonexistent_LP_solver solver_parameter(name, value=None) Return or define a solver parameter INPUT: •name (string) – the parameter •value – the parameter’s value if it is to be defined, or None (default) to obtain its current value. Note: The list of available parameters is available at solver_parameter(). EXAMPLE: sage: from sage.numerical.backends.generic_backend import get_solver sage: p = get_solver(solver = "Nonexistent_LP_solver") # optional - Nonexistent_LP_solver sage: p.solver_parameter("timelimit") # optional - Nonexistent_LP_solver sage: p.solver_parameter("timelimit", 60) # optional - Nonexistent_LP_solver sage: p.solver_parameter("timelimit") # optional - Nonexistent_LP_solver variable_lower_bound(index, value=None) Return or define the lower bound on a variable INPUT: •index (integer) – the variable’s id •value – real value, or None to mean that the variable has not lower bound. When set to None (default), the method returns the current value. EXAMPLE: sage: from sage.numerical.backends.generic_backend import get_solver sage: p = get_solver(solver = "Nonexistent_LP_solver") # optional - Nonexistent_LP_solver sage: p.add_variable() # optional - Nonexistent_LP_solver 1 sage: p.col_bounds(0) # optional - Nonexistent_LP_solver (0.0, None) sage: p.variable_lower_bound(0, 5) # optional - Nonexistent_LP_solver sage: p.col_bounds(0) # optional - Nonexistent_LP_solver (5.0, None) variable_upper_bound(index, value=None) Return or define the upper bound on a variable INPUT: •index (integer) – the variable’s id •value – real value, or None to mean that the variable has not upper bound. When set to None (default), the method returns the current value. EXAMPLE: 5.1. Generic Backend for LP solvers 59
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Sage Reference Manual: Numerical Op
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CHAPTER ONE KNAPSACK PROBLEMS This
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Page 45 and 46: CHAPTER FOUR NUMERICAL ROOT FINDING
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Page 109 and 110: BIBLIOGRAPHY [HPS08] J. Hoffstein,
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INDEX A add_col() (sage.numerical.b
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