build(deps): Update DFMethods requirement to 0.3.2 in /docs

[dependabot]

Updates the requirements on DFMethods to permit the latest version.

Release notes

Sourced from DFMethods's releases.

v0.3.2

DFMethods v0.3.2

Diff since v0.3.1

Merged pull requests:

• Release v0.3.2: algorithm-verification fixes (#15) (@​mmogib)

Changelog

Sourced from DFMethods's changelog.

[0.3.2] — 2026-05-25

Added

• SpectralThreeTerm: two new keyword arguments alpha_min and alpha_max (defaults 1e-10 and 1e30) that clamp the spectral coefficient ϑ_k^I to the interval [alpha_min, alpha_max]. The clamp underwrites the strict-descent property F(w_k)' d_k ≤ -\alpha_{\min} \|F(w_k)\|^2 and the trust-region bound \|d_k\| ≤ (α_{\max} + 2/\bar α_1)\,\|F(w_k)\|. In the degenerate case y_{k-1} = 0 (which forced ϑ_k^I = 0 previously, giving zero descent), ϑ_k^I now falls back to alpha_min.
• SolodovSvaiterProjection: new keyword argument γ::Float64 = 1.0 (relaxation factor; must lie in (0, 2)). The projection target becomes w − γ·λ_k·F(z_k), and the Dykstra tolerance scales to ε_k = (ζ²/2) γ² λ_k² ‖F(z_k)‖² so Dykstra stops at a constant fractional accuracy of the projection step across all γ values. γ = 1 preserves the prior release behavior byte-for-byte. For X = RealSpace the halfspace projection cancels γ ≤ 1; the relaxation has effect for γ > 1 and for non-trivial constraint sets.

Changed

• SpectralThreeTerm.direction!: the assembled spectral coefficient is now clamp(s'y / y'y, alpha_min, alpha_max) rather than the unconstrained s'y / y'y. Default knobs are wide enough ([1e-10, 1e30]) that any well-behaved trajectory produces a bit-identical direction to the prior release; only the degenerate fallback (y_{k-1} = 0) changes output, replacing the previous zero-descent failure with a strict-descent step.
• SolodovSvaiterProjection is now Base.@kwdef'd with a single γ::Float64 = 1.0 field. The zero-argument SolodovSvaiterProjection() constructor continues to work and constructs the default rule.

[0.3.1] — 2026-05-24

Documentation enhancement release. Adds a new Tutorial page to the manual (between Quickstart and Algorithm in the nav) demonstrating the end-to-end solver workflow with emphasis on the callback architecture (observer callbacks, stopping criteria as callbacks, writing a custom callback from scratch). No source-code changes; no API additions or removals; 242/242 tests pass unchanged.

Added

• docs/src/tutorial.md — hands-on walkthrough (live-evaluated via Documenter @example blocks):
  • § 1 Setup — minimum-viable solve(NonlinearProblem(F, x0), DFProjection())
  • § 2 Choosing components — overrides for linesearch, inertial, etc.

... (truncated)

Commits

• 7de1e8e Merge pull request #15 from mmogib/feature-dev
• 99c6eaf Release v0.3.2
• 647260d Algorithm: SpectralThreeTerm clamp, SolodovSvaiterProjection γ, docs polish
• c2cf75a Docs: bump README BibTeX + CITATION.cff version to v0.3.1
• b315281 Merge pull request #14 from mmogib/v0.3.1-dev
• fb15d52 Release v0.3.1: docs-only tutorial enhancement
• 67df38a docs: add tutorial.md — hands-on walkthrough with callbacks
• 094c18c Docs: Zenodo DOI badge + citation for v0.3.0
• 60ceb18 Merge pull request #10 from mmogib/v0.3.0-dev
• eb7cb4f Release v0.3.0: element-type genericity + first Zenodo DOI
• Additional commits viewable in compare view

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[mmogib]

Closing in favor of CompatHelper (see #22) — Dependabot's julia ecosystem is being removed. docs/Project.toml carries no [compat] bounds, so the docs build always resolves current compatible versions; no pin needed.

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