neldermead: S3 neldermead object
In neldermead: R Port of the 'Scilab' Neldermead Module
neldermead R Documentation
S3 neldermead object
Description
These functions support the S3 class 'neldermead'and are intended to
either create objects of this class or check if an object is of this class.
Usage
neldermead(optbase, method, simplex0, simplex0method,
simplex0length, simplexsize0, simplexopt, historysimplex, coords0, rho, chi,
gamma, sigma, tolfstdeviation, tolfstdeviationmethod, tolsimplexizeabsolute,
tolsimplexizerelative, tolsimplexizemethod, toldeltafv, tolssizedeltafvmethod,
simplex0deltausual, simplex0deltazero, restartsimplexmethod, restartmax,
restarteps, restartstep, restartnb, restartflag, restartdetection,
kelleystagnationflag, kelleynormalizationflag, kelleystagnationalpha0,
kelleyalpha, startupflag, boxnbpoints, boxnbpointseff, boxineqscaling,
checkcostfunction, scalingsimplex0, guinalphamin, boxboundsalpha,
boxtermination, boxtolf, boxnbmatch, boxkount, boxreflect, tolvarianceflag,
tolabsolutevariance, tolrelativevariance, variancesimplex0, mymethod,
myterminate, myterminateflag, greedy, output, exitflag)
## S3 method for class 'neldermead'
print(x,verbose,...)
## S3 method for class 'neldermead'
summary(object,showhistory,...)
## S3 method for class 'neldermead'
is(x=NULL)
Arguments
optbase
An object of class 'optimbase', i.e. a list created by
optimbase() and containing the following elements:
- verbose
The verbose option, controlling the amount of messages.
- x0
The initial guess.
- fx0
The value of the function for the initial guess.
- xopt
The optimum parameter.
- fopt
The optimum function value.
- tolfunabsolute
The absolute tolerance on function value.
- tolfunrelative
The relative tolerance on function value.
- tolfunmethod
Logical flag for the tolerance on function value in
the termination criteria. This criteria is suitable for functions which
minimum is associated with a function value equal to 0.
- tolxabsolute
The absolute tolerance on x.
- tolxrelative
The relative tolerance on x.
- tolxmethod
Possible values: FALSE, TRUE.
- funevals
The number of function evaluations.
- maxfunevals
The maximum number of function evaluations.
- maxiter
The maximum number of iterations.
- iterations
The number of iterations.
- fun
The cost function.
- status
The status of the optimization.
- historyfopt
The vector to store the history for fopt. The values of
the cost function will be stored at each iteration in a new element, so
the length of historyfopt at the end of the optimization should
be the number of iterations.
- historyxopt
The list to store the history for xopt. The vectors of
estimates will be stored on separated levels of the list, so the length
of historyfopt at the end of the optimization should be the
number of iterations.
- verbosetermination
The verbose option for termination criteria.
- outputcommand
The command called back for output.
- outputcommandarg
The outputcommand argument is initialized as a
string. If the user configure this element, it is expected that a matrix
of values or a list is passed so that the argument is appended to the
name of the function.
- numberofvariables
The number of variables to optimize.
- storehistory
The flag which enables/disables the storing of the
history.
- costfargument
The costf argument is initialized as a string. If
the user configure this element, it is expected that a matrix of values
or a list is passed so that the argument is appended to the name of the
function.
- boundsmin
Minimum bounds for the parameters.
- boundsmax
Maximum bounds for the parameters.
- nbineqconst
The number of nonlinear inequality constraints.
- logfile
The name of the log file.
- logfilehandle
The handle for the log file.
- logstartup
Set to TRUE when the logging is started up.
- withderivatives
Set to TRUE when the method uses derivatives.
method
The name of the algorithm to use.
simplex0
An object of class 'simplex', i.e. a list created by
optimsimplex(), and containing the following elements:
- verbose
The verbose option, controlling the amount of messages.
- x
The coordinates of the vertices, with size nbve x n.
- n
The dimension of the space.
- fv
The function values, with size nbve x 1.
- nbve
The number of vertices.
simplex0method
The method to use to compute the initial simplex.
simplex0length
The length to use when the initial simplex is computed
with the 'axes' or 'spendley' methods.
rho
The reflection coefficient. This parameter is used when the
method element is set to 'fixed' or 'variable'.
chi
The expansion coefficient. This parameter is used when the
method element is set to 'variable'.
gamma
The contraction coefficient. This parameter is used when the
method element is set to 'variable'.
sigma
The shrinkage coefficient. This parameter is used when the
method element is set to 'fixed' or 'variable'.
tolfstdeviation
The tolerance for the standard deviation.
tolfstdeviationmethod
Set to FALSE.
tolsimplexizeabsolute
The absolute tolerance on the simplex size.
tolsimplexizerelative
The relative tolerance on the simplex size.
tolsimplexizemethod
Logical flag to enable/disable the tolerance on
the simplex size. When this criteria is enabled, the values of the
tolsimplexizeabsolute and tolsimplexizerelative elements are
used in the termination criteria. The method to compute the size is the
'sigmaplus' method.
simplexsize0
Initial size of the simplex, for the tolerance on the
simplex size.
toldeltafv
The absolute tolerance on the difference between the
highest and the lowest function values.
tolssizedeltafvmethod
Logical flag to enable/disable the termination
criteria based on the size of the simplex and the difference of function
value in the simplex. If this criteria is triggered, the status of the
optimization is set to 'tolsizedeltafv'. This termination criteria uses
the values of the tolsimplexizeabsolute and toldeltafv
elements. This criteria is identical to Scilab's fminsearch.
historysimplex
The list to store the history for simplex. The simplex
will be stored on a new level of the list at each iteration, so the length
of historyfopt at the end of the optimization should be the number
of iterations.
coords0
The coordinates of the vertices of the initial simplex. If
the simplex0method element is set to 'given', these coordinates are
used to compute the initial simplex. This matrix is expected to have
shape nbve x n where nbve is the number of vertices and n is the number of
variables.
simplex0deltausual
The relative delta for non-zero parameters in
'pfeffer' method.
simplex0deltazero
The absolute delta for non-zero parameters in
'pfeffer' method.
simplexopt
The optimum simplex, after one optimization process.
restartsimplexmethod
The method to compute the initial simplex after
a restart.
restartmax
The maximum number of restarts, when automatic restart is
enabled via the restartflag element.
restarteps
The absolute epsilon value used to check for optimality in
the factorial O'Neill restart detection.
restartstep
The absolute step length used to check for optimality in
the factorial O'Neill restart detection.
kelleystagnationflag
Logical flag to enable/disable the termination
criteria using Kelley's stagnation detection, based on sufficient decrease
condition. If this criteria is triggered, the status of the optimization
is set to 'kelleystagnation'.
,
kelleynormalizationflag
Logical flag to enable/disable the
normalization of the alpha coefficient in Kelley's stagnation detection,
i.e. use the value of the kelleystagnationalpha0 element as is.
kelleystagnationalpha0
The parameter used in Kelley's stagnation
detection.
kelleyalpha
The current value of Kelley's alpha, after normalization,
if required.
restartnb
Number of restarts performed.
restartflag
Logical flag to enable/disable the automatic restart of
the algorithm.
restartdetection
The method to detect if the automatic restart must
be performed.
startupflag
Set to TRUE when the startup has been performed.
boxnbpoints
The number of points in the initial simplex, when the
simplex0method is set to 'randbounds'. The value of this element is
also use to update the simplex when a restart is performed and the
restartsimplexmethod element is set to 'randbounds'. The default
value is so that the number of points is twice the number of variables of
the problem.
boxnbpointseff
The effective number of points required in the simplex
for Box's algorithm.
boxineqscaling
The scaling coefficient used to scale the trial point
for function improvement or into the constraints of Box's algorithm.
checkcostfunction
Logical flag to enable/disable the checking of the
connection of the cost function.
scalingsimplex0
The algorithm used to scale the initial simplex into
the nonlinear constraints. The following two algorithms are provided:
- 'tox0'
scales the vertices toward the initial guess.
- 'tocentroid'
scales the vertices toward the centroid, as
recommended by Box.
If the centroid happens to be unfeasible, because the constraints are not
convex, the scaling of the initial simplex toward the centroid may fail.
Since the initial guess is always feasible, scaling toward the initial
guess cannot fail.
guinalphamin
The minimum value of alpha when scaling the vertices of
the simplex into nonlinear constraints in Box's algorithm.
boxboundsalpha
The parameter used to project the vertices into the
bounds in Box's algorithm.
boxtermination
Logical flag to enable/disable Box's termination
criteria.
boxtolf
The absolute tolerance on difference of function values in
the simplex, suggested by Box. This tolerance is used if the
boxtermination element is set to TRUE.
boxnbmatch
The number of consecutive match of Box's termination
criteria.
boxkount
Current number of consecutive match.
boxreflect
The reflection factor in Box's algorithm.
tolvarianceflag
Logical flag to enable/disable the termination
criteria based on the variance of the function value. If this criteria is
triggered, the status of the optimization is set to 'tolvariance'. This
criteria is suggested by Nelder and Mead.
tolabsolutevariance
The absolute tolerance on the variance of the
function values of the simplex.
tolrelativevariance
The relative tolerance on the variance of the
function values of the simplex.
variancesimplex0
Relative tolerance on variance.
mymethod
A user-derined simplex algorithm.
myterminate
A user-defined terminate function.
myterminateflag
Logical flag to enable/disable the user-defined
terminate function.
greedy
Logical flag to enable/disable greedy Nelder-Mead.
output
The command to call back for user-defined output of specialized
function.
exitflag
Logical flag to enable/disable the user-defined output of
specialized function.
x
An object of class 'neldermead'.
verbose
A logical flag, controlling the amount of data printed.
...
optional arguments to 'print' or 'plot' methods.
object
An object of class 'neldermead'.
showhistory
Optional logical flag, to define whether optimization
history must be summarized or not.
Value
The neldermead function returns a new object of class 'neldermead',
with the following default content:
- optbase
An object of class 'optimbase' with the following default
content:
- verbose
Default is FALSE.
- x0
Default is NULL.
- fx0
Default is NULL.
- xopt
Default is 0.
- fopt
Default is 0.
- tolfunabsolute
Default is 0.
- tolfunrelative
Default is .Machine$double.eps.
- tolfunmethod
Default is FALSE.
- tolxabsolute
Default is 0.
- tolxrelative
Default is .Machine$double.eps.
- tolxmethod
Default is TRUE.
- funevals
Default is 0.
- maxfunevals
Default is 100.
- maxiter
Default is 100.
- iterations
Default is 0.
- fun
Default is ”.
- status
Default is ”.
- historyfopt
Default is NULL.
- historyxopt
Default is NULL.
- verbosetermination
Default is FALSE.
- outputcommand
Default is ”.
- outputcommandarg
Default is ”. If the user configures this
element, it is expected to be an object of class 'optimbase.outputargs'
or will be coerced to an object of class 'optimbase.outputargs'.
- numberofvariables
Default is 0.
- storehistory
Default is FALSE.
- costfargument
Default is ”. If the user configures this element,
it is expected to be an object of class 'optimbase.functionargs' or
will be coerced to an object of class 'optimbase.functionargs'.
- boundsmin
Default is NULL.
- boundsmax
Default is NULL.
- nbineqconst
Default is 0.
- logfile
Default is ”.
- logfilehandle
Default is 0.
- logstartup
Default is FALSE.
- withderivatives
Default is FALSE.
- method
Default is 'variable'.
- simplex0
Default is an object of class 'simplex', with the following
content:
- verbose
Default is 0.
- x
Default is NULL.
- n
Default is 0.
- fv
Default is NULL.
- nbve
Default is 0.
- simplex0method
Default is 'axes'.
- simplex0length
Default is 1.
- rho
Default is 1.
- chi
Default is 2.
- gamma
Default is 0.5.
- sigma
Default is 0.5.
- tolfstdeviation
Default is 0.
- tolfstdeviationmethod
Default is FALSE.
- tolsimplexizeabsolute
Default is 0.
- tolsimplexizerelative
Default is .Machine$double.eps.
- tolsimplexizemethod
Default is FALSE.
- simplexsize0
Default is 0.
- toldeltafv
Default is .Machine$double.eps.
- tolssizedeltafvmethod
Default is FALSE.
- historysimplex
Default is NULL.
- coords0
Default is NULL.
- simplex0deltausual
Default is 0.05.
- simplex0deltazero
Default is 0.0075.
- simplexopt
Default is NULL.
- restartsimplexmethod
Default is 'oriented'.
- restartmax
Default is 3.
- restarteps
Default is .Machine$double.eps.
- restartstep
Default is 1.
- kelleystagnationflag
Default is FALSE.
,
- kelleynormalizationflag
Default is TRUE, i.e. the simplex gradient of
the initial simplex is taken into account in the stagnation detection.
- kelleystagnationalpha0
Default is 1.e-4.
- kelleyalpha
Default is 1.e-4.
- restartnb
Default is 0.
- restartflag
Default is FALSE.
- restartdetection
Default is 'oneill'.
- startupflag
Default is FALSE.
- boxnbpoints
Default is '2n'.
- boxnbpointseff
Default is 0.
- boxineqscaling
Default is 0.
- checkcostfunction
Default is TRUE.
- scalingsimplex0
Default is 'tox0'.
- guinalphamin
Default is 1.e-6.
- boxtermination
Default is FALSE.
- boxtolf
Default is 1.e-5.
- boxnbmatch
Default is 5.
- boxkount
Default is 0.
- boxreflect
Default is 1.3.
- tolvarianceflag
Default is FALSE.
- tolabsolutevariance
Default is 0.
- tolrelativevariance
Default is .Machine$double.eps.
- variancesimplex0
Default is .Machine$double.eps.
- mymethod
Default is NULL.
- myterminate
Default is NULL.
- myterminateflag
Default is FALSE.
- greedy
Default is FALSE.
- output
Default is list().
- exitflag
Default is FALSE.
Author(s)
Author of Scilab neldermead module: Michael Baudin (INRIA - Digiteo)
Author of R adaptation: Sebastien Bihorel (sb.pmlab@gmail.com)
See Also
optimbase,
optimsimplex
neldermead documentation built on March 18, 2022, 7:58 p.m.
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| neldermead | R Documentation |
S3 neldermead object
Description
These functions support the S3 class 'neldermead'and are intended to either create objects of this class or check if an object is of this class.
Usage
neldermead(optbase, method, simplex0, simplex0method,
simplex0length, simplexsize0, simplexopt, historysimplex, coords0, rho, chi,
gamma, sigma, tolfstdeviation, tolfstdeviationmethod, tolsimplexizeabsolute,
tolsimplexizerelative, tolsimplexizemethod, toldeltafv, tolssizedeltafvmethod,
simplex0deltausual, simplex0deltazero, restartsimplexmethod, restartmax,
restarteps, restartstep, restartnb, restartflag, restartdetection,
kelleystagnationflag, kelleynormalizationflag, kelleystagnationalpha0,
kelleyalpha, startupflag, boxnbpoints, boxnbpointseff, boxineqscaling,
checkcostfunction, scalingsimplex0, guinalphamin, boxboundsalpha,
boxtermination, boxtolf, boxnbmatch, boxkount, boxreflect, tolvarianceflag,
tolabsolutevariance, tolrelativevariance, variancesimplex0, mymethod,
myterminate, myterminateflag, greedy, output, exitflag)
## S3 method for class 'neldermead'
print(x,verbose,...)
## S3 method for class 'neldermead'
summary(object,showhistory,...)
## S3 method for class 'neldermead'
is(x=NULL)
Arguments
optbase |
An object of class 'optimbase', i.e. a list created by
|
method |
The name of the algorithm to use. |
simplex0 |
An object of class 'simplex', i.e. a list created by
|
simplex0method |
The method to use to compute the initial simplex. |
simplex0length |
The length to use when the initial simplex is computed with the 'axes' or 'spendley' methods. |
rho |
The reflection coefficient. This parameter is used when the
|
chi |
The expansion coefficient. This parameter is used when the
|
gamma |
The contraction coefficient. This parameter is used when the
|
sigma |
The shrinkage coefficient. This parameter is used when the
|
tolfstdeviation |
The tolerance for the standard deviation. |
tolfstdeviationmethod |
Set to FALSE. |
tolsimplexizeabsolute |
The absolute tolerance on the simplex size. |
tolsimplexizerelative |
The relative tolerance on the simplex size. |
tolsimplexizemethod |
Logical flag to enable/disable the tolerance on
the simplex size. When this criteria is enabled, the values of the
|
simplexsize0 |
Initial size of the simplex, for the tolerance on the simplex size. |
toldeltafv |
The absolute tolerance on the difference between the highest and the lowest function values. |
tolssizedeltafvmethod |
Logical flag to enable/disable the termination
criteria based on the size of the simplex and the difference of function
value in the simplex. If this criteria is triggered, the status of the
optimization is set to 'tolsizedeltafv'. This termination criteria uses
the values of the |
historysimplex |
The list to store the history for simplex. The simplex
will be stored on a new level of the list at each iteration, so the length
of |
coords0 |
The coordinates of the vertices of the initial simplex. If
the |
simplex0deltausual |
The relative delta for non-zero parameters in 'pfeffer' method. |
simplex0deltazero |
The absolute delta for non-zero parameters in 'pfeffer' method. |
simplexopt |
The optimum simplex, after one optimization process. |
restartsimplexmethod |
The method to compute the initial simplex after a restart. |
restartmax |
The maximum number of restarts, when automatic restart is
enabled via the |
restarteps |
The absolute epsilon value used to check for optimality in the factorial O'Neill restart detection. |
restartstep |
The absolute step length used to check for optimality in the factorial O'Neill restart detection. |
kelleystagnationflag |
Logical flag to enable/disable the termination criteria using Kelley's stagnation detection, based on sufficient decrease condition. If this criteria is triggered, the status of the optimization is set to 'kelleystagnation'. |
,
kelleynormalizationflag |
Logical flag to enable/disable the
normalization of the alpha coefficient in Kelley's stagnation detection,
i.e. use the value of the |
kelleystagnationalpha0 |
The parameter used in Kelley's stagnation detection. |
kelleyalpha |
The current value of Kelley's alpha, after normalization, if required. |
restartnb |
Number of restarts performed. |
restartflag |
Logical flag to enable/disable the automatic restart of the algorithm. |
restartdetection |
The method to detect if the automatic restart must be performed. |
startupflag |
Set to TRUE when the startup has been performed. |
boxnbpoints |
The number of points in the initial simplex, when the
|
boxnbpointseff |
The effective number of points required in the simplex for Box's algorithm. |
boxineqscaling |
The scaling coefficient used to scale the trial point for function improvement or into the constraints of Box's algorithm. |
checkcostfunction |
Logical flag to enable/disable the checking of the connection of the cost function. |
scalingsimplex0 |
The algorithm used to scale the initial simplex into the nonlinear constraints. The following two algorithms are provided:
If the centroid happens to be unfeasible, because the constraints are not convex, the scaling of the initial simplex toward the centroid may fail. Since the initial guess is always feasible, scaling toward the initial guess cannot fail. |
guinalphamin |
The minimum value of alpha when scaling the vertices of the simplex into nonlinear constraints in Box's algorithm. |
boxboundsalpha |
The parameter used to project the vertices into the bounds in Box's algorithm. |
boxtermination |
Logical flag to enable/disable Box's termination criteria. |
boxtolf |
The absolute tolerance on difference of function values in
the simplex, suggested by Box. This tolerance is used if the
|
boxnbmatch |
The number of consecutive match of Box's termination criteria. |
boxkount |
Current number of consecutive match. |
boxreflect |
The reflection factor in Box's algorithm. |
tolvarianceflag |
Logical flag to enable/disable the termination criteria based on the variance of the function value. If this criteria is triggered, the status of the optimization is set to 'tolvariance'. This criteria is suggested by Nelder and Mead. |
tolabsolutevariance |
The absolute tolerance on the variance of the function values of the simplex. |
tolrelativevariance |
The relative tolerance on the variance of the function values of the simplex. |
variancesimplex0 |
Relative tolerance on variance. |
mymethod |
A user-derined simplex algorithm. |
myterminate |
A user-defined terminate function. |
myterminateflag |
Logical flag to enable/disable the user-defined terminate function. |
greedy |
Logical flag to enable/disable greedy Nelder-Mead. |
output |
The command to call back for user-defined output of specialized function. |
exitflag |
Logical flag to enable/disable the user-defined output of specialized function. |
x |
An object of class 'neldermead'. |
verbose |
A logical flag, controlling the amount of data printed. |
... |
optional arguments to 'print' or 'plot' methods. |
object |
An object of class 'neldermead'. |
showhistory |
Optional logical flag, to define whether optimization history must be summarized or not. |
Value
The neldermead function returns a new object of class 'neldermead',
with the following default content:
- optbase
An object of class 'optimbase' with the following default content:
- verbose
Default is FALSE.
- x0
Default is NULL.
- fx0
Default is NULL.
- xopt
Default is 0.
- fopt
Default is 0.
- tolfunabsolute
Default is 0.
- tolfunrelative
Default is .Machine$double.eps.
- tolfunmethod
Default is FALSE.
- tolxabsolute
Default is 0.
- tolxrelative
Default is .Machine$double.eps.
- tolxmethod
Default is TRUE.
- funevals
Default is 0.
- maxfunevals
Default is 100.
- maxiter
Default is 100.
- iterations
Default is 0.
- fun
Default is ”.
- status
Default is ”.
- historyfopt
Default is NULL.
- historyxopt
Default is NULL.
- verbosetermination
Default is FALSE.
- outputcommand
Default is ”.
- outputcommandarg
Default is ”. If the user configures this element, it is expected to be an object of class 'optimbase.outputargs' or will be coerced to an object of class 'optimbase.outputargs'.
- numberofvariables
Default is 0.
- storehistory
Default is FALSE.
- costfargument
Default is ”. If the user configures this element, it is expected to be an object of class 'optimbase.functionargs' or will be coerced to an object of class 'optimbase.functionargs'.
- boundsmin
Default is NULL.
- boundsmax
Default is NULL.
- nbineqconst
Default is 0.
- logfile
Default is ”.
- logfilehandle
Default is 0.
- logstartup
Default is FALSE.
- withderivatives
Default is FALSE.
- method
Default is 'variable'.
- simplex0
Default is an object of class 'simplex', with the following content:
- verbose
Default is 0.
- x
Default is NULL.
- n
Default is 0.
- fv
Default is NULL.
- nbve
Default is 0.
- simplex0method
Default is 'axes'.
- simplex0length
Default is 1.
- rho
Default is 1.
- chi
Default is 2.
- gamma
Default is 0.5.
- sigma
Default is 0.5.
- tolfstdeviation
Default is 0.
- tolfstdeviationmethod
Default is FALSE.
- tolsimplexizeabsolute
Default is 0.
- tolsimplexizerelative
Default is .Machine$double.eps.
- tolsimplexizemethod
Default is FALSE.
- simplexsize0
Default is 0.
- toldeltafv
Default is .Machine$double.eps.
- tolssizedeltafvmethod
Default is FALSE.
- historysimplex
Default is NULL.
- coords0
Default is NULL.
- simplex0deltausual
Default is 0.05.
- simplex0deltazero
Default is 0.0075.
- simplexopt
Default is NULL.
- restartsimplexmethod
Default is 'oriented'.
- restartmax
Default is 3.
- restarteps
Default is .Machine$double.eps.
- restartstep
Default is 1.
- kelleystagnationflag
Default is FALSE.
,
- kelleynormalizationflag
Default is TRUE, i.e. the simplex gradient of the initial simplex is taken into account in the stagnation detection.
- kelleystagnationalpha0
Default is 1.e-4.
- kelleyalpha
Default is 1.e-4.
- restartnb
Default is 0.
- restartflag
Default is FALSE.
- restartdetection
Default is 'oneill'.
- startupflag
Default is FALSE.
- boxnbpoints
Default is '2n'.
- boxnbpointseff
Default is 0.
- boxineqscaling
Default is 0.
- checkcostfunction
Default is TRUE.
- scalingsimplex0
Default is 'tox0'.
- guinalphamin
Default is 1.e-6.
- boxtermination
Default is FALSE.
- boxtolf
Default is 1.e-5.
- boxnbmatch
Default is 5.
- boxkount
Default is 0.
- boxreflect
Default is 1.3.
- tolvarianceflag
Default is FALSE.
- tolabsolutevariance
Default is 0.
- tolrelativevariance
Default is .Machine$double.eps.
- variancesimplex0
Default is .Machine$double.eps.
- mymethod
Default is NULL.
- myterminate
Default is NULL.
- myterminateflag
Default is FALSE.
- greedy
Default is FALSE.
- output
Default is list().
- exitflag
Default is FALSE.
Author(s)
Author of Scilab neldermead module: Michael Baudin (INRIA - Digiteo)
Author of R adaptation: Sebastien Bihorel (sb.pmlab@gmail.com)
See Also
optimbase,
optimsimplex
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