[125X][GSF tracking] Add full Sylvester criterion for positive definite check

[swagata87]

PR description:

Backport of #39656 to address #39570

[cmsbuild]

A new Pull Request was created by @swagata87 (Swagata Mukherjee) for CMSSW_12_5_X.

It involves the following packages:

• TrackingTools/GsfTracking (reconstruction)

@cmsbuild, @mandrenguyen, @clacaputo can you please review it and eventually sign? Thanks.
@VourMa, @bellan, @felicepantaleo, @GiacomoSguazzoni, @JanFSchulte, @rovere, @VinInn, @missirol, @ebrondol, @lecriste, @gpetruc, @mmusich, @mtosi, @dgulhan this is something you requested to watch as well.
@perrotta, @dpiparo, @rappoccio you are the release manager for this.

cms-bot commands are listed here

• Backported from [GSF tracking] Add full Sylvester criterion for positive definite check #39656

[swagata87]

@cmsbuild please test

[cmsbuild]

+1

Summary: https://cmssdt.cern.ch/SDT/jenkins-artifacts/pull-request-integration/PR-58251d/28131/summary.html
COMMIT: 2e6bea4
CMSSW: CMSSW_12_5_X_2022-10-08-1100/el8_amd64_gcc10
User test area: For local testing, you can use /cvmfs/cms-ci.cern.ch/week1/cms-sw/cmssw/39682/28131/install.sh to create a dev area with all the needed externals and cmssw changes.

Comparison Summary

Summary:

• No significant changes to the logs found
• Reco comparison results: 0 differences found in the comparisons
• DQMHistoTests: Total files compared: 51
• DQMHistoTests: Total histograms compared: 3699454
• DQMHistoTests: Total failures: 2
• DQMHistoTests: Total nulls: 0
• DQMHistoTests: Total successes: 3699430
• DQMHistoTests: Total skipped: 22
• DQMHistoTests: Total Missing objects: 0
• DQMHistoSizes: Histogram memory added: 0.0 KiB( 50 files compared)
• Checked 212 log files, 49 edm output root files, 51 DQM output files
• TriggerResults: no differences found

[mandrenguyen]

backport of #39656

[mandrenguyen]

type egamma

[mandrenguyen]

+1

[cmsbuild]

This pull request is fully signed and it will be integrated in one of the next CMSSW_12_5_X IBs (tests are also fine) and once validation in the development release cycle CMSSW_12_6_X is complete. This pull request will now be reviewed by the release team before it's merged. @perrotta, @dpiparo, @rappoccio (and backports should be raised in the release meeting by the corresponding L2)

[perrotta]

+1