General Mathematical Principle for Multivariable Problems. Any problem involving several unknowns is normally solved by recasting the problem as a system of linear equations.
Models | Deterministic | Probabalistic |
---|---|---|
Static | Equilibrium Model | |
Dynamic | Ecological Model | Markov Chain |
In Linear Programming (A.K.A. Linear Optimization), we optimize a linear objective function.
Matrix | Can Represent |
---|---|
Transition Matrix ( ||·||_{s}=1 ) |
1. Markov Chain 2. Filter: Linear Filtering smooths data by multiplying by a (usually Band) Transition Matrix. I.E. f ~ Σ $\frac{\mathrm{<k,f\u1d62>}}{}$ f̂ᵢ |
0-1 Matrix | Graphs |
AᵀA is a measure of the similarity between the columns of A.
Determinant | Invertible |
---|---|
= 0 | No |
≠ 0 | Yes |
~ 0 | Ill-conditioned |
λ ≤ ||·||
A Partitioned Matrix has matrices as elements.