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MATLAB Mathematics - SERC - Index of

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<strong>Index</strong><br />

LU factorization 6-30<br />

minimum degree ordering 6-29<br />

reducing bandwidth 6-29<br />

representing<br />

mathematical functions 4-3<br />

rigid body (ODE example) 5-19<br />

rigidode demo 5-19<br />

Robertson problem<br />

DAE example 5-35<br />

ODE example 5-42<br />

roots<br />

polynomial 2-3<br />

S<br />

sampled data<br />

with ODE solvers 5-47<br />

save 6-12<br />

scalar<br />

as a matrix 1-5<br />

scalar product 1-8<br />

scattered data<br />

multidimensional interpolation 2-34<br />

multidimensional tessellation 2-26<br />

triangulation and interpolation 2-18<br />

Schur decomposition 1-41<br />

seamount data set 2-19<br />

second difference operator<br />

example 6-9<br />

shockbvp demo 5-73<br />

singular value matrix decomposition 1-42<br />

size<br />

sparse matrices 6-25<br />

solution changes, rapid<br />

making initial guess 5-73<br />

verifying consistent behavior 5-76<br />

solving linear systems <strong>of</strong> equations<br />

full 1-13<br />

sparse 6-36<br />

sort 6-29<br />

sparse function<br />

converting full to sparse 6-7<br />

sparse matrix<br />

advantages 6-5<br />

and complex values 6-6<br />

Cholesky factorization 6-33<br />

computational considerations 6-25<br />

contents 6-13<br />

conversion from full 6-7<br />

creating 6-7<br />

directly 6-8<br />

from diagonal elements 6-10<br />

density 6-7<br />

distance between nodes 6-22<br />

eigenvalues 6-39<br />

fill-in 6-22<br />

importing 6-12<br />

linear systems <strong>of</strong> equations 6-36<br />

LU factorization 6-30<br />

and reordering 6-30<br />

mathematical operations 6-25<br />

nonzero elements 6-13<br />

maximum number 6-9<br />

specifying when creating matrix 6-8<br />

storage 6-5, 6-13<br />

values 6-13<br />

nonzero elements <strong>of</strong> sparse matrix<br />

number <strong>of</strong> 6-13<br />

operations 6-25<br />

permutation 6-26<br />

preconditioner 6-35<br />

propagation through computations 6-25<br />

QR factorization 6-34<br />

<strong>Index</strong>-8

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