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Creates a persistent solver that can be reused across multiple solves with updated problem data (warm starts). This avoids the overhead of reallocating the solver's internal data structures when only the problem data changes but the sparsity pattern stays the same.

Usage

clarabel_solver(
  A,
  b,
  q,
  P = NULL,
  cones,
  control = list(),
  strict_cone_order = TRUE
)

Arguments

A

a matrix of constraint coefficients.

b

a numeric vector giving the primal constraints

q

a numeric vector giving the primal objective

P

a symmetric positive semidefinite matrix, default NULL

cones

a named list giving the cone sizes, see “Cone Parameters” below for specification

control

a list giving specific control parameters to use in place of default values, with an empty list indicating the default control parameters. Specified parameters should be correctly named and typed to avoid Rust system panics as no sanitization is done for efficiency reasons

strict_cone_order

a logical flag, default TRUE for forcing order of cones described below. If FALSE cones can be specified in any order and even repeated and directly passed to the solver without type and length checks

Value

a ClarabelSolver environment object with methods solve(), update_data(Px, Ax, q, b), and is_update_allowed()

Details

Data updates are refused once the solver has altered the structure of the problem, since the stored factorization no longer corresponds to the data being updated. Three settings can cause that: presolve_enable, input_sparse_dropzeros and chordal_decomposition_enable. What matters is whether the transformation actually took place, not whether it was permitted: presolve rewrites the problem only if it finds something to remove, and chordal decomposition engages only for semidefinite constraints whose sparsity pattern is decomposable. Use solver_is_update_allowed() to check the instance you built.

Examples

if (FALSE) { # \dontrun{
P <- Matrix::sparseMatrix(i = 1:2, j = 1:2, x = c(2, 1), dims = c(2, 2))
A <- matrix(c(1, 0, 0, 1), nrow = 2)
b <- c(1, 1)
q <- c(-2, -3)
cones <- list(l = 2L)
ctrl <- clarabel_control(presolve_enable = FALSE, verbose = FALSE)
s <- clarabel_solver(A, b, q, P, cones, control = ctrl)
sol1 <- solver_solve(s)
solver_update(s, q = c(-4, -1))
sol2 <- solver_solve(s)
} # }