Standard R Functions for CVXR Expressions

CVXR registers methods so that standard R functions create the appropriate atoms when applied to Expression objects.

For CVXR expressions, computes the matrix/vector norm atom. For other inputs, falls through to norm.

For CVXR expressions, computes the standard deviation atom (ddof=0 by default, matching CVXPY/numpy convention). For numeric inputs, falls through to sd.

For CVXR expressions, computes the variance atom (ddof=0 by default). For numeric inputs, falls through to var.

For CVXR expressions, computes the outer product of two vectors. For other inputs, falls through to outer.

Usage

norm(x, type = "2", ...)

sd(x, ...)

var(x, ...)

outer(X, Y, ...)

Arguments

x: An Expression or numeric.
type: Norm type: "1", "2" (default), "I"/"i" (infinity), "F"/"f" (Frobenius).
...: For non-Expression inputs: passed to outer.
X: An Expression or numeric.
Y: An Expression or numeric.

Value

An Expression or numeric value.

An Expression or matrix.

Math group (elementwise, via S3 group generic)

abs(x): Absolute value (convex, nonneg)
exp(x): Exponential (convex, positive)
log(x): Natural logarithm (concave, domain x >= 0)
sqrt(x): Square root via power(x, 0.5) (concave)
log1p(x): log(1+x) compound expression (concave)
log2(x), log10(x): Base-2/10 logarithm
cumsum(x): Cumulative sum (affine)
cummax(x): Cumulative max (convex)
cumprod(x): Cumulative product
ceiling(x), floor(x): Round up/down (MIP)

Summary group (via S3 group generic)

sum(x): Sum all entries (affine)
max(x): Maximum entry (convex)
min(x): Minimum entry (concave)

S3 generic methods

mean(x): Arithmetic mean; pass axis/keepdims via ...
diff(x): First-order differences; also cvxr_diff

Masking wrappers

These mask the base/stats versions and dispatch on argument type:

norm(x): 2-norm; use type for "1", "I" (infinity), "F" (Frobenius)
sd(x): Standard deviation (ddof=0 for expressions)
var(x): Variance (ddof=0 for expressions)
outer(X, Y): Outer product of two vector expressions

Advanced usage

For axis-aware reductions, keepdims, or other options not available through the standard interface, use the explicit functions: cvxr_norm, cvxr_mean, cvxr_diff, cvxr_std, cvxr_var, cvxr_outer.