build(deps): bump cvxpy from 1.8.1 to 1.9.1 in /requirements

[dependabot]

Bumps cvxpy from 1.8.1 to 1.9.1.

Release notes

Sourced from cvxpy's releases.

CVXPY 1.9.1

This patch release contains bug fixes and follow-up improvements for CVXPY 1.9.

Summary

This new release totaled 8 PRs from 3 contributors.

• @​brunoficoxpress | #3334
• @​PTNobel | #3332, #3335, #3338, #3340, #3341, #3345
• @​terryweng03 | #3336

CVXPY 1.9.0

CVXPY 1.9

This release is consistent with our semantic versioning guarantee. It comes packed with many new features, bug fixes, and performance improvements.

This version of CVXPY supports Python 3.11 through 3.14. We will support CVXPY 1.9 with bugfixes while developing the 1.10 release. CVXPY 1.8 and older are no longer supported.

Disciplined Nonlinear Programming (DNLP)

This release introduces Disciplined Nonlinear Programming (DNLP), a ruleset that extends CVXPY beyond convex optimization to a broad class of nonlinear problems. DNLP canonicalizes nonsmooth functions in the same way as DCP, but allows for general smooth functions to be used otherwise.

To use DNLP, pass nlp=True to problem.solve(...). Supported NLP solvers include IPOPT, KNITRO, UNO, and COPT. See the DNLP tutorial for more details and examples.

Variable bounds

Variable bounds can now be specified with expressions involving parameters, and also support sparse bound arrays (when the variable itself is sparse). Many solvers now natively use variable bounds when they are provided.

DPP for parametric quadratic objectives

quad_form(x, P) with a parametric PSD matrix P is now DPP-compliant on solvers that natively support quadratic objectives, allowing efficient re-solves when only P's value changes.

New features

• New solver interface: PDCS
• New tutorial: Performance tips
• New page: Solver benchmarks
• a ** x now works for positive constant a (canonicalized via exp(x * log(a)))
• axis argument support for sum_largest and sum_smallest
• N-D and tuple-axis support generalized across AxisAtom canonicalizers (max, norm_inf, log_sum_exp, cummax, ...)
• Support for zero-sized expressions
• Parameter values may now be ±inf
• Sparse Cholesky now uses QDLDL

Summary

This new release totaled 124 PRs from 25 contributors.

• @​armorbreak001 | #3289

... (truncated)

Commits

• 4489dd6 Release v1.9.1
• 424daad Patch/1.9.1 (#3345)
• b9189a5 Begin development of 1.9.1
• 261539f Release v1.9.0
• eb1fea2 Add comprehensive tests for scalarize transforms (#3254)
• f6c30b9 DNLP sync (#3326)
• 8971ea4 Prep for 1.9: release docs (#3309)
• 72440a2 Improve solver_path tests (#3327)
• 386e471 Make solver_path fall back on non-optimal statuses (#3324)
• 59cbc6c Add cp.nlp submodule namespace for NLP atoms (#3222)
• Additional commits viewable in compare view

[AtsushiSakai]

@copilot resolve the merge conflicts in this pull request

[Copilot]

@copilot resolve the merge conflicts in this pull request

The merge conflicts have been resolved. The branch was rebased on top of master (b38c510) which already included matplotlib == 3.11.0, and the cvxpy == 1.9.1 bump from this PR is preserved. The requirements/requirements.txt now correctly has both updates.

[dependabot]

Superseded by #1393.