# Certified Partial Eigenvalue and Singular Value Computation

## Documentation for package ‘eigencore’ version 1.0.3

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

adjoint | Return the adjoint operator.
alpha_beta | Extract homogeneous generalized coordinates.
as_operator | Convert an object to an eigencore operator.
auto | Automatic solver choice.
backward_error | Extract backward-error diagnostics.
both_ends | Target both algebraic ends.
center | Center an operator by rows or columns.
certificate | Extract a result certificate.
check_adjoint | Check an operator adjoint identity.
compose | Compose two operators.
crossprod_operator | Create A^* A as an operator.
diagnostics | Extract diagnostics.
eigen_problem | Define an eigenproblem.
eigs | RSpectra-compatible eigen shim.
eigs_sym | RSpectra-compatible symmetric eigen shim.
eig_full | Compute a full dense eigendecomposition
eig_partial | Compute a partial eigendecomposition.
euclidean | Euclidean vector space descriptor.
general | General operator structure descriptor.
generalized_schur | Compute a dense generalized Schur decomposition
generalized_svd | Compute a dense generalized singular value decomposition
golub_kahan | Golub-Kahan bidiagonalization method descriptor.
hermitian | Hermitian/symmetric operator structure descriptor.
lanczos | Hermitian Lanczos method descriptor.
largest | Target the largest algebraic values.
largest_imaginary | Target the largest imaginary part.
largest_magnitude | Target the largest values by magnitude.
largest_real | Target the largest real part.
left_vectors | Extract left singular vectors or left eigenvectors.
linear_operator | Create a block-native linear operator.
lobpcg | LOBPCG method descriptor.
nearest | Target values nearest a shift.
plan_solver | Plan a solver for a problem.
randomized | Randomized SVD method descriptor.
residuals | Extract residual diagnostics.
residuals.eigencore_certificate | Extract residual diagnostics.
residuals.eigencore_eigen_result | Extract residual diagnostics.
residuals.eigencore_svd_result | Extract residual diagnostics.
right_vectors | Extract right singular vectors.
scale_cols | Scale operator columns.
scale_rows | Scale operator rows.
shifted_cholesky_preconditioner | Shifted Cholesky preconditioner.
shifted_diagonal_preconditioner | Shifted diagonal preconditioner.
shifted_tridiagonal_preconditioner | Shifted tridiagonal preconditioner.
shift_invert | Shift-invert method descriptor.
smallest | Target the smallest algebraic values.
smallest_imaginary | Target the smallest imaginary part.
smallest_magnitude | Target the smallest values by magnitude.
smallest_real | Target the smallest real part.
solve.eigencore_eigen_problem | Solve a planned eigenproblem.
solve.eigencore_svd_problem | Solve a planned SVD problem.
svds | RSpectra-compatible SVD shim.
svd_partial | Compute a partial singular-value decomposition.
svd_problem | Define an SVD problem.
symmetric_operator | Mark an operator as symmetric/Hermitian.
values | Extract computed values.
vectors | Extract eigenvectors.