Homec4science
Diffusion EMPoWER (master) Browse

R1252/simulation-code/cvx/functions/Contents.m
de096106547amaster

Last Change
Raw File

Contents.m
View Options

% CVX: Additional functions added by CVX.
%
% These functions have been provided to expand the variety of constraints
% and objectives that can be specified in CVX models. But in fact, they
% can be used with numeric arguments *outside* of CVX as well. The help
% text for each of these functions contains general information about the
% computations it performs, as well as specific information about its
% proper use in CVX models, as dictated by its convexity/concavity and
% monotonicity properties.
%
% Those functions marked with a (*), as well as the exponential and
% logarithm functions, are supported using a "successive approximation"
% approach: that is, the solver is called multiple times to refine the
% solution to the required accuracy. Thus models using these functions
% should be expected to run more slowly than models of comparable size
% that do not. See the CVX user guide for details.
%
% A number of Matlab's built-in functions have been extended to provide
% CVX support; for example,
% abs, exp(*), log (*), max, min, norm, prod, sqrt
% For a full list, type "help cvx/builtins".
%
% berhu - Reverse Huber penalty function.
% det_inv - Determinant of the inverse of an SPD matrix.
% det_root2n - 2nth-root of the determinant of an SPD matrix.
% det_rootn - nth-root of the determinant of an SPD matrix.
% entr - Scalar entropy. (*)
% geo_mean - Geometric mean. (*)
% huber - Huber penalty function.
% huber_circ - Circularly symmetric version of the Huber penalty.
% huber_pos - Monotonic Huber-style function.
% inv_pos - Reciprocal of a positive quantity.
% kl_div - Scalar Kullback-Leibler distance. (*)
% lambda_max - Maximum eigenvalue of a symmetric matrix.
% lambda_min - Minimum eigenvalue of a symmetric matrix.
% log_det - Logarithm of the determinant. (*)
% log_normcdf - Logarithm of the normal CDF. (approximation)
% log_sum_exp - log(sum(exp(x))). (*)
% logsumexp_sdp - SDP-based approximation of log(sum(exp(x))).
% matrix_frac - Matrix fractional function.
% norm_largest - Sum of the k largest magnitudes of a vector.
% norm_nuc - Nuclear norm of a matrix.
% norms - Computation of multiple vector norms.
% norms_largest - Computation of multiple norm_largest() norms.
% poly_env - Convex or concave envelope of a polynomial.
% polyval_trig - Evaluate a trigonometric polynomial.
% pos - Positive part.
% pow_p - Nonnegative branches of the power function.
% pow_pos - Convex/concave branches of the power function.
% pow_abs - Absolute value raised to a fixed power.
% quad_form - Quadratic form.
% quad_over_lin - Sum of squares over linear.
% quad_pos_over_lin - Sum of squares of positives over linear.
% rel_entr - Scalar relative entropy. (*)
% sigma_max - Maximum singular value.
% square - Square.
% square_abs - Square of absolute value.
% square_pos - Square of positive part.
% sum_largest - Sum of the largest k values of a vector.
% sum_smallest - Sum of the smallest k elements of a vector.
% sum_square - Sum of squares.
% sum_square_abs - sum of squares of absolute values.
% sum_square_pos - Sum of squares of positive parts.
% trace_inv - Trace of the inverse of a PSD matrix.
% trace_sqrtm - Trace of the square root of a PSD matrix.
% vec - Vectorize.
% Copyright 2005-2014 CVX Research, Inc.
% See the file LICENSE.txt for full copyright information.
% The command 'cvx_where' will show where this file is located.
c4science · Help