Tartalomjegyzék
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Matlab brochure
Functions
Built-in linear algebra Matlab functions:
- Q = orth(A) - Gives an orthonormal basis of the image space of a matrix
- Z = null(A) - Returns an orthonormal basis for the null space of A
- [U,S,V] = svd(A) - Singluar value decomposition of matrix A (see also Fundamental theorem of linear algebra)
- k = rank(A,) - Rank of matrix A
- [R,p] = rref(A) - Reduced row echelon form (Gauss-Jordan elimination). p gives the indices of the first k nr of linearly independent rows of matrix A, where k = rank(A)
- [r,p,k] = residue(b,a); [b,a] = residue(r,p,k) - Partial fractional decomposition (numerical)
- poly - Polynomial with specified roots or characteristic polynomial
- polyval - Polynomial evaluation
- roots - Polynomial roots
- w = conv(u,v) - Convolution and polynomial multiplication
- [q,r] = deconv(u,v) - Deconvolution and polynomial division
Built-in Matlab functions:
Built-in Matlab functions:
Matlab's Symbolic Math Toolbox (SMT):
- subexpr
- subs(expr) - it can be used only with a single argument as well
- simplifyFraction
- compose
- combine(sin(x)+cos(x),'sincos')
- divisors - divisors of a polynomial
- factor - FactorMode: real/complex/full/rational
- partfrac - FactorMode: real/complex/full/rational
- rewrite(csc(x),'sin') or rewrite(asinh(x),'log') - sin, cos, sincos, tan, exp, log, heaviside, sqrt
- isAlways - prove a statement
- in(.., type) - types: real, positive, integer, rational
- minpoly
- charpoly - characteristic polynomial of a matrix
- symsum(i,[1,n]) - $\displaystyle\sum_{i = 1}^n i = \frac{n(n+1)}{2}$
Matlab's Statistics and Machine Learning Toolbox:
Keyboard shortcuts
Techniques
Usefull tutorials on the Mathworks webpage
Optimization