SizeMetrics

Reports scalar-counts and data-dimension metrics for a
<code>Problem</code>. Constructed by <code>size_metrics</code>;
end users normally call <code>size_metrics(prob)</code> rather than this
constructor directly.

An object-oriented modeling language for disciplined
convex programming (DCP) as described in Fu, Narasimhan, and Boyd
(2020, <doi:10.18637/jss.v094.i14>). It allows the user to
formulate convex optimization problems in a natural way following
mathematical convention and DCP rules. The system analyzes the
problem, verifies its convexity, converts it into a canonical
form, and hands it off to an appropriate solver to obtain the
solution. This version uses the S7 object system for improved
performance and maintainability.

Anqi Fu

CVXR

Disciplined Convex Optimization

Balasubramanian Narasimhan

Steven Diamond

John Miller

Stephen Boyd

SizeMetrics function

<dl><dt>num_scalar_variables</dt>
<dd>Total scalar entries across all
variables in the problem.</dd>
<dt>num_scalar_data</dt>
<dd>Total scalar entries across all constants
and parameters.</dd>
<dt>num_scalar_eq_constr</dt>
<dd>Total scalar entries in equality
(<code>Equality</code>, <code>Zero</code>) constraints.</dd>
<dt>num_scalar_leq_constr</dt>
<dd>Total scalar entries in inequality
(<code>Inequality</code>, <code>NonNeg</code>, <code>NonPos</code>) constraints.</dd>
<dt>max_data_dimension</dt>
<dd>Largest single dimension across any data
block (constant or parameter).</dd>
<dt>max_big_small_squared</dt>
<dd>Maximum of <code>big * small^2</code> over
all data blocks, where <code>big</code>/<code>small</code> are the larger/
smaller dimension of the block.</dd></dl>

Arguments

Problem Size Metrics — SizeMetrics

<dl>

<dt>num_scalar_variables</dt>
<dd>Total scalar entries across all
variables in the problem.</dd>


<dt>num_scalar_data</dt>
<dd>Total scalar entries across all constants
and parameters.</dd>


<dt>num_scalar_eq_constr</dt>
<dd>Total scalar entries in equality
(<code>Equality</code>, <code>Zero</code>) constraints.</dd>


<dt>num_scalar_leq_constr</dt>
<dd>Total scalar entries in inequality
(<code>Inequality</code>, <code>NonNeg</code>, <code>NonPos</code>) constraints.</dd>


<dt>max_data_dimension</dt>
<dd>Largest single dimension across any data
block (constant or parameter).</dd>


<dt>max_big_small_squared</dt>
<dd>Maximum of <code>big * small^2</code> over
all data blocks, where <code>big</code>/<code>small</code> are the larger/
smaller dimension of the block.</dd>

</dl>

SizeMetrics: Problem Size Metrics

Description

Usage

Value

Arguments