Function reference
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lmfd()
- Constructor for Left Matrix Fraction Descriptions (LMFDs)
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rmfd()
- Constructor for Right Matrix Fraction Descriptions (RMFDs)
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stsp()
- Constructor for Statespace Realizations
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polm()
- Constructor for Polynomial Matrices
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lpolm()
- Constructor for Laurent Polynomial Matrices
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pseries()
- Power series Parameters
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as.lmfd()
- Coerce to Left Matrix Fraction Description
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as.lpolm()
- Coerce to Laurent polynom object
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as.polm()
- Coerece to polynomial object
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as.rmfd()
- Coerce to Right Matrix Fraction Description
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as.stsp()
- Coerce to Statespace Realization
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pseries2lmfd()
- Construct a LMFD Representation from Impulse Response
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pseries2rmfd()
- Construct an RMFD Representation from Impulse Response
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pseries2stsp()
- Ho-Kalman Realization Algorithm
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basis2nu()
nu2basis()
pseries2nu()
- Tools related to Kronecker indices
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is.stable()
is.miniphase()
- Check Properties of Rational Matrices
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is.polm()
is.lpolm()
is.lmfd()
is.rmfd()
is.stsp()
is.pseries()
is.zvalues()
- Check Objects
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is.coprime()
- Left Prime and Left Coprime Polynomials
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is.minimal()
- Check the Minimality of a Statespace Realization
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test_array()
- Create Test Array
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test_lmfd()
- Create Test Rational Matrix in LMFD Form
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test_lpolm()
- Create Test Laurent Polynomial Matrix
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test_polm()
- Create Test Polynomial Matrix
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test_rmfd()
- Create Test Rational Matrix in RMFD Form
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test_stsp()
- Create Test Rational Matrix in Statespace Form
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`%r%`
- Matrix Multiplication of Rational Matrices
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Ops(<ratm>)
- Arithmetic Ops Group Methods for Rational Matrices
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polm_div()
- Division Algorithm for Polynomial Matrices
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upgrade_objects()
- Upgrade Objects to Common Class
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derivative()
- Derivative of a rational Matrix
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Ht()
- Hermitean Transpose
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t(<polm>)
t(<lpolm>)
t(<lmfd>)
t(<rmfd>)
t(<stsp>)
t(<pseries>)
t(<zvalues>)
- Rational Matrix Transpose
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`[`(<polm>)
`[`(<lpolm>)
`[`(<lmfd>)
`[`(<rmfd>)
`[`(<stsp>)
`[`(<pseries>)
`[`(<zvalues>)
`$`(<lmfd>)
`$`(<rmfd>)
`$`(<stsp>)
`$`(<zvalues>)
- Extract Parts of a Rational Matrix
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`[<-`(<polm>)
`[<-`(<lpolm>)
- Replace Parts of a (Laurent) Polynomial Matrix
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rbind(<ratm>)
cbind(<ratm>)
- Combine Rational Matrices by Rows or Columns
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dim(<polm>)
dim(<lpolm>)
dim(<lmfd>)
dim(<rmfd>)
dim(<stsp>)
dim(<pseries>)
dim(<zvalues>)
- Dimensions of Objects
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str(<lpolm>)
str(<polm>)
str(<lmfd>)
str(<rmfd>)
str(<stsp>)
str(<pseries>)
str(<zvalues>)
- Display the Structure of Objects
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print(<lpolm>)
print(<polm>)
print(<lmfd>)
print(<rmfd>)
print(<stsp>)
print(<pseries>)
print(<zvalues>)
- Print Methods
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plot(<pseries>)
plot(<zvalues>)
- Plot Methods
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plot_3D()
- Plot 3D Arrays
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zoom_plot()
- Zoom and Scroll
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as_tex_matrix()
- TeX Matrix
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as_tex_matrixfilter()
- TeX Matrix Polynomial Filters
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as_tex_matrixpoly()
- TeX Matrix Polynomials
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as_txt_scalarfilter()
- Coerce Scalar Polynomial Filters to Character Strings
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as_txt_scalarpoly()
- Coerce Scalar Polynomials to Character Strings
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whf()
- Wiener-Hopf Factorization
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polm2fwd()
- Transforms to Polynomial in Forward Shift
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snf()
- Smith Normal Form
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hnf()
- Hermite Normal Form
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col_end_matrix()
- Column End Matrix of a Polynomial Matrix
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col_reduce()
- Construct a Column Reduced Polynomial Matrix
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degree()
- Polynomial Degree
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purge_rc()
- Purge Rows or Columns of a Polynomial Matrix
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prune()
- Prune (Laurent) Matrix Polynomial
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schur()
- Schur Decomposition
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ql_decomposition()
lq_decomposition()
- QL and LQ Decomposition
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blaschke()
blaschke2()
- Blaschke Factors
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roots_as_list()
- Polynomial Roots as List
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reflect_poles()
- Reflect Poles of Rational Matrices
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reflect_zeroes()
- Reflect Zeroes of Rational Matrices
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balance()
- Balanced Realization and Balanced Truncation
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companion_matrix()
- Companion Matrix of a Polynomial Matrix
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ctr_matrix()
obs_matrix()
- Controllability and Observability Matrix
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grammians()
- Grammians
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state_trafo()
- State Transformation
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lyapunov()
- Lyapunov Equation
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bdiag()
- Block Diagonal Matrix
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bmatrix()
- Block matrices
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btoeplitz()
- Block Toeplitz matrix
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bhankel()
- Block Hankel matrix
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dbind()
- Bind Arrays
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array2data.frame()
- Coerce arrays to data frames
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iseq()
- Sequence generation
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rationalmatrices
- A Collection of Tools for Rational Matrices
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%>%
- Pipe operator