Certified Partial Eigenvalue and Singular Value Computation


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Documentation for package ‘eigencore’ version 1.0.0

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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.