The problem needs the right operation
The supported operator, right-hand side and convergence requirements.
Solve matrix-free linear systems with a recomputed true-residual certificate.
Garmo SolversSPINFORGE / A GARMO LABS COMPANY
Krylov
Solve matrix-free linear systems with a recomputed true-residual certificate.
Customer outcomeOperate compute and data workflows ↗
THE PRODUCT, IN PRACTICE
Solve matrix-free linear systems
with a recomputed true-residual certificate
Solve matrix-free linear systems with a recomputed true-residual certificate. It is an available module in Garmo Solvers 1.0.2, accessed through the common garmo CLI and garmo-mcp server. Every returned answer is rechecked against the original input; mathematical claims are certified or explicitly labeled uncertified.
- BUILT FOR
- Engineering, optimization and software teams with numerical methods workloads.
CHALLENGES → PRODUCT RESPONSEThe problem you face.
The problem you face.
What the product changes.
YOUR CHALLENGEWITH KRYLOV
A result must answer the original question
An answer detached from its original constraints or input is difficult to rely on.
The suite rechecks the answer against the original input and identifies the applicable result state.
The comparison needs a defined scope
A capability or benchmark result is not a universal promise for a different workload.
Evaluate the selected input, resource budget, complete cost and required certificate against your baseline.
WHAT YOU GETA defined capability.
A defined capability.
A useful result.
Selected solving capability
Solve matrix-free linear systems with a recomputed true-residual certificate.
Original-input result
A conjugate-gradient solution and true-residual evidence.
Common access
Use the released garmo CLI and garmo-mcp server; headless execution fits scripts and automated workflows.
Explicit certificate status
Optimality and infeasibility claims carry a certificate or are labeled uncertified.
GARMO SOLVERS 1.0.2 / REPORTED STUDY
Comparison incomplete
Compared with CuPy, Torch and the checksummed Forge15 old path; the summarized improvement pass was not started.
Source: owner-supplied release account. These are retained study results, not tests rerun for this publication or universal competitor rankings.
Read the full comparative evidenceEXAMPLE CUSTOMER WORKFLOW
Use Krylov in a defined workflow
A customer has a supported model and wants an accepted result without adopting every other module.
Illustrative customer use—not a new benchmark or completed customer deployment.- 01→
Provide the original input and define the useful outcome.
- 02→
Run the selected module under its supported resource and interface scope.
- 03→
Review the returned answer, original-input checks and completion state.
FIT & ACCEPTANCEStart with the task.
Start with the task.
Agree the useful outcome.
- What you bring
- The supported operator, right-hand side and convergence requirements.
- What a useful evaluation measures
- +Accepted original-model result
- +Appropriate certificate or disclosed uncertified state
- +Total time, memory and operating cost
- Delivery
- License the selected capability, commission an implementation, or agree an operated service. Infrastructure and additional engineering are specified separately.
QUESTIONS BEFORE BUYINGA clear scope.
A clear scope.
A clear relationship.
What is the important boundary?−
A residual is not a universal solution-error bound without the appropriate conditioning assumptions.
How is it priced?+
$15,000/year is the retained standalone price proposal for its named scope. The platform plans buy qualified workflows and capacity, not a second charge every time a compatible method is selected. Existing bundle inclusions do not expand automatically.
How do we get access?+
Available through garmo CLI and garmo-mcp, including headless execution. Product-specific inputs, runtime dependencies, budgets and result checks remain explicit.
PUT THE PRODUCT TO WORK
Tell us what needs to improve.
Bring a task, an accepted outcome and the environment in which the product needs to work.
PRODUCT RELATIONSHIPS
Related, not interchangeable.
ONE PLATFORM
Choose a qualified workflow.
Select the capability you need directly or include its compatible role in a qualified platform workflow. Production scope identifies release, environment, capacity and support; a product count is not an entitlement.
Explore monthly plans See the system connectionsSTART WITH THIS PRODUCT
Use the software directly or ask us to scope the implementation.