Index

A

add() (in module qpmr.quasipoly.arithmetic) ADVANCED (qpmr.quasipoly.form.QuasiPolynomialType attribute) antiderivative (qpmr.quasipoly.obj.QuasiPolynomial property) antiderivative() (in module qpmr.quasipoly.operation)

appeltans2023analysis() (in module qpmr.quasipoly.examples) argument_principle() (in module qpmr.argument_principle) argument_principle_circle() (in module qpmr.argument_principle) argument_principle_rectangle() (in module qpmr.argument_principle)

C

chain_asymptotes() (in module qpmr.distribution.zero_chains) chain_asymptotes2() (in module qpmr.distribution.zero_chains) circle_contour() (in module qpmr.argument_principle) cluster_roots() (in module qpmr.zero_multiplicity) coefs_prime (qpmr.qpmr_metadata.QpmrRecursionContext property) complex_grid (qpmr.qpmr_metadata.QpmrInfo property) (qpmr.qpmr_metadata.QpmrSubInfo property) complex_grid_rect() (in module qpmr.grid) complex_plane_scale (qpmr.qpmr_metadata.QpmrRecursionContext attribute)

complex_plane_shift (qpmr.qpmr_metadata.QpmrRecursionContext attribute) compress() (in module qpmr.quasipoly.core) compressed (qpmr.quasipoly.obj.QuasiPolynomial property) CONSTANT (qpmr.quasipoly.form.QuasiPolynomialType attribute) contours_imag (qpmr.qpmr_metadata.QpmrInfo property) (qpmr.qpmr_metadata.QpmrSubInfo property) contours_real (qpmr.qpmr_metadata.QpmrInfo attribute) (qpmr.qpmr_metadata.QpmrSubInfo attribute) create_normalized_delay_difference_eq() (in module qpmr.quasipoly.core)

D

degree (qpmr.quasipoly.obj.QuasiPolynomial property) delays_prime (qpmr.qpmr_metadata.QpmrRecursionContext property) denumerator (qpmr.quasipoly.obj.TransferFunction property) derivative (qpmr.quasipoly.obj.QuasiPolynomial property)

derivative() (in module qpmr.quasipoly.operation) distribution_diagram() (in module qpmr.distribution.spectrum_distribution_diagram) ds (qpmr.qpmr_metadata.QpmrRecursionContext attribute) (qpmr.qpmr_metadata.QpmrSubInfo attribute)

E

e (qpmr.qpmr_metadata.QpmrSubInfo attribute) empty() (in module qpmr.quasipoly.examples) envelope_real_axis_crossing() (in module qpmr.distribution.envelope_curve)

eval() (in module qpmr.quasipoly.core) (qpmr.quasipoly.obj.QuasiPolynomial method) expanded_region (qpmr.qpmr_metadata.QpmrSubInfo property)

F

f (qpmr.qpmr_metadata.QpmrRecursionContext property) f_prime (qpmr.qpmr_metadata.QpmrRecursionContext property) factorize_power() (in module qpmr.quasipoly.core)

find_crossings() (in module qpmr.common) from_array() (qpmr.quasipoly.obj.QuasiPolynomial class method) from_constant() (qpmr.quasipoly.obj.QuasiPolynomial class method)

G

grid_nbytes_max (qpmr.qpmr_metadata.QpmrRecursionContext attribute)

grid_size_heuristic() (in module qpmr.grid)

I

imag_range (qpmr.qpmr_metadata.QpmrInfo attribute) (qpmr.qpmr_metadata.QpmrSubInfo property) init_qpmr_logger() (in module qpmr.utils) is_advanced (qpmr.quasipoly.obj.QuasiPolynomial property) is_constant (qpmr.quasipoly.obj.QuasiPolynomial property)

is_empty (qpmr.quasipoly.obj.QuasiPolynomial property) is_neutral (qpmr.quasipoly.obj.QuasiPolynomial property) is_neutral() (in module qpmr.quasipoly.core) is_polynomial (qpmr.quasipoly.obj.QuasiPolynomial property) is_retarded (qpmr.quasipoly.obj.QuasiPolynomial property)

L

L_degree (qpmr.distribution.spectrum_distribution_diagram.SpectrumDistributionDiagramMetadata property)

L_theta (qpmr.distribution.spectrum_distribution_diagram.SpectrumDistributionDiagramMetadata property)

M

m (qpmr.quasipoly.obj.QuasiPolynomial property) mask (qpmr.distribution.spectrum_distribution_diagram.SpectrumDistributionDiagramMetadata attribute) mazanti2021multiplicity() (in module qpmr.quasipoly.examples) module qpmr qpmr.argument_principle qpmr.common qpmr.distribution qpmr.distribution.envelope_curve qpmr.distribution.psi_curve qpmr.distribution.spectral_abscissa qpmr.distribution.spectrum_distribution_diagram qpmr.distribution.zero_chains qpmr.grid qpmr.numerical_methods qpmr.numerical_methods.mueller_method qpmr.numerical_methods.newton_method qpmr.numerical_methods.secant_method qpmr.qpmr_metadata qpmr.qpmr_v2 qpmr.qpmr_v3 qpmr.qpmr_validation qpmr.quasipoly qpmr.quasipoly.arithmetic qpmr.quasipoly.core qpmr.quasipoly.examples qpmr.quasipoly.form qpmr.quasipoly.obj qpmr.quasipoly.operation qpmr.region_heuristic qpmr.utils qpmr.zero_multiplicity

mueller() (in module qpmr.numerical_methods.mueller_method) multiplicity_heuristic (qpmr.qpmr_metadata.QpmrRecursionContext attribute) multiply() (in module qpmr.quasipoly.arithmetic)

N

n (qpmr.quasipoly.obj.QuasiPolynomial property) name (qpmr.qpmr_metadata.QpmrSubInfo property) NEUTRAL (qpmr.quasipoly.form.QuasiPolynomialType attribute) newton() (in module qpmr.numerical_methods.newton_method) node (qpmr.qpmr_metadata.QpmrRecursionContext attribute)

normalize() (in module qpmr.quasipoly.core) normalize_exponent() (in module qpmr.quasipoly.core) numerator (qpmr.quasipoly.obj.TransferFunction property) numerical_method (qpmr.qpmr_metadata.QpmrRecursionContext attribute) numerical_method_kwargs (qpmr.qpmr_metadata.QpmrRecursionContext attribute) numerical_newton() (in module qpmr.numerical_methods.newton_method)

P

P_degree (qpmr.distribution.spectrum_distribution_diagram.SpectrumDistributionDiagramMetadata attribute) P_theta (qpmr.distribution.spectrum_distribution_diagram.SpectrumDistributionDiagramMetadata attribute) poly_degree() (in module qpmr.quasipoly.core)

poly_degrees (qpmr.quasipoly.obj.QuasiPolynomial property) POLYNOMIAL (qpmr.quasipoly.form.QuasiPolynomialType attribute) psi_comensurate_0_kappa() (in module qpmr.distribution.psi_curve) psi_commensurate_kappa() (in module qpmr.distribution.psi_curve)

Q

qp_type() (in module qpmr.quasipoly.form) qpmr module qpmr() (in module qpmr.qpmr_v2) (in module qpmr.qpmr_v3) qpmr.argument_principle module qpmr.common module qpmr.distribution module qpmr.distribution.envelope_curve module qpmr.distribution.psi_curve module qpmr.distribution.spectral_abscissa module qpmr.distribution.spectrum_distribution_diagram module qpmr.distribution.zero_chains module qpmr.grid module qpmr.numerical_methods module qpmr.numerical_methods.mueller_method module qpmr.numerical_methods.newton_method module qpmr.numerical_methods.secant_method module qpmr.qpmr_metadata module

qpmr.qpmr_v2 module qpmr.qpmr_v3 module qpmr.qpmr_validation module qpmr.quasipoly module qpmr.quasipoly.arithmetic module qpmr.quasipoly.core module qpmr.quasipoly.examples module qpmr.quasipoly.form module qpmr.quasipoly.obj module qpmr.quasipoly.operation module qpmr.region_heuristic module qpmr.utils module qpmr.zero_multiplicity module QpmrInfo (class in qpmr.qpmr_metadata) QpmrRecursionContext (class in qpmr.qpmr_metadata) QpmrSubInfo (class in qpmr.qpmr_metadata) QuasiPolynomial (class in qpmr.quasipoly.obj) QuasiPolynomialType (class in qpmr.quasipoly.form)

R

real_range (qpmr.qpmr_metadata.QpmrInfo attribute) (qpmr.qpmr_metadata.QpmrSubInfo property) rectangular_contour() (in module qpmr.argument_principle) recursion_level_max (qpmr.qpmr_metadata.QpmrRecursionContext attribute) region (qpmr.qpmr_metadata.QpmrSubInfo attribute) region_heuristic() (in module qpmr.region_heuristic) render_tree (qpmr.qpmr_metadata.QpmrRecursionContext property)

RETARDED (qpmr.quasipoly.form.QuasiPolynomialType attribute) roots (qpmr.qpmr_metadata.QpmrRecursionContext property) (qpmr.qpmr_metadata.QpmrSubInfo attribute) roots0 (qpmr.qpmr_metadata.QpmrInfo attribute) (qpmr.qpmr_metadata.QpmrSubInfo attribute) roots_numerical (qpmr.qpmr_metadata.QpmrInfo attribute) (qpmr.qpmr_metadata.QpmrSubInfo attribute)

S

safe_upper_bound_diff() (in module qpmr.distribution.spectral_abscissa) secant() (in module qpmr.numerical_methods.secant_method) self_inverse_polynomial() (in module qpmr.quasipoly.examples) shift() (in module qpmr.quasipoly.core)

solution_tree (qpmr.qpmr_metadata.QpmrRecursionContext attribute) SpectrumDistributionDiagramMetadata (class in qpmr.distribution.spectrum_distribution_diagram) status (qpmr.qpmr_metadata.QpmrSubInfo attribute) status_message (qpmr.qpmr_metadata.QpmrSubInfo attribute)

T

theta_grid_generator() (in module qpmr.distribution.envelope_curve)

TransferFunction (class in qpmr.quasipoly.obj)

V

validate_qp() (in module qpmr.qpmr_validation) validate_region() (in module qpmr.qpmr_validation) vyhlidal2014qpmr() (in module qpmr.quasipoly.examples)

vyhlidal2014qpmr_01() (in module qpmr.quasipoly.examples) vyhlidal2014qpmr_02() (in module qpmr.quasipoly.examples) vyhlidal2014qpmr_03() (in module qpmr.quasipoly.examples)

Y

yuksel2023distributed() (in module qpmr.quasipoly.examples)

Z

z_value (qpmr.qpmr_metadata.QpmrInfo attribute) (qpmr.qpmr_metadata.QpmrSubInfo attribute)

zeros (qpmr.qpmr_metadata.QpmrRecursionContext property)