build(deps): bump cvxpy from 1.8.1 to 1.8.2 in /requirements

[dependabot]

Bumps cvxpy from 1.8.1 to 1.8.2.

Release notes

Sourced from cvxpy's releases.

CVXPY 1.8.2

This is a patch release with bugfixes and solver interface updates.

Bugfixes

• Fix a negative axis sum in the Python backends (#3129)
• Fix quad_form_canon silently dropping M1 term for indefinite P (#3150)
• Fix backward() setting param.gradient to float 0.0 instead of zero ndarray (#3159)
• Fix Dgp2Dcp.param_backward KeyError when log-param not in dparams (#3164)
• Fix reshape._infer_shape() for N-D shapes with -1 (#3165)
• Reject sparse/diag variables with pos/neg attributes (#3106, minimal backport)
• Fix DGP pnorm scalar canonicalization promoting p instead of x (#3169)

Solver interface updates

• Update Xpress solver interfaces for 9.8 compatibility
• Add BOUNDED_VARIABLES support for Xpress solvers

Improvements

• Use LDL decomposition instead of eigh in decomp_quad (#3154)

Test fixes

• Fix nondeterministic failure in test_highs_validate_column_name (#3097)

This new release totaled 37 PRs from 6 contributors.

• @​curious7-web | #3176, #3225
• @​goyalpalak18 | #3150, #3159, #3164, #3165, #3169, #3174, #3196, #3214, #3246, #3247
• @​jberg5 | #3207
• @​Nikitaa104 | #3193, #3194
• @​PTNobel | #3097, #3106, #3119, #3125, #3129, #3136, #3154, #3158, #3166, #3178, #3179, #3180, #3215, #3233, #3243
• @​SteveDiamond | #3139, #3141, #3143, #3161, #3171, #3209, #3232

Commits

• 76b0527 Release v1.8.2
• 4641293 Patch/1.8.2 (#3171)
• c9c9c38 Add YouTube recording links to workshop 2026 schedule (#3215)
• e90285d Revert cherry-picked bugfixes — forgot procedure for patch release
• d65e831 Backport: Reject sparse/diag variables with pos/neg attributes (#3106)
• 4888a93 Fix reshape._infer_shape() for N-D shapes with -1 (#3165)
• 40cf86e Fix Dgp2Dcp.param_backward KeyError when log-param not in dparams (#3164)
• eb40230 Fix backward() setting param.gradient to float 0.0 instead of zero nd… (#3159)
• f50ef4d Fix quad_form_canon silently dropping M1 term for indefinite P (#3150)
• 133165c Fix a negative axis sum in the Python backends (#3129)
• Additional commits viewable in compare view

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[dependabot]

Superseded by #1375.