Identity .......................................................................................................................... 534
Random ......................................................................................................................... 534
Jordan ........................................................................................................................... 534
Hilbert ........................................................................................................................... 534
Isometric ....................................................................................................................... 535
Vandermonde ............................................................................................................... 535
Basic ................................................................................................................................................ 535
Norm ............................................................................................................................. 535
Row Norm ..................................................................................................................... 535
Column Norm ................................................................................................................ 536
Spectral Norm ............................................................................................................... 536
Spectral Radius ............................................................................................................. 536
Condition ....................................................................................................................... 536
Rank .............................................................................................................................. 536
Pivot .............................................................................................................................. 537
Trace .............................................................................................................................. 537
Advanced ......................................................................................................................................... 537
Eigenvalues ................................................................................................................... 537
Eigenvectors ................................................................................................................. 537
Jordan ........................................................................................................................... 537
Diagonal ........................................................................................................................ 538
Cholesky ........................................................................................................................ 538
Hermite ......................................................................................................................... 538
Hessenberg ................................................................................................................... 538
Smith ............................................................................................................................. 539
Factorize .......................................................................................................................................... 539
LQ .................................................................................................................................. 539
LSQ ................................................................................................................................ 539
LU .................................................................................................................................. 539
QR .................................................................................................................................. 539
SCHUR ........................................................................................................................... 540
SVD ................................................................................................................................ 540
SVL ................................................................................................................................ 540
Vector .............................................................................................................................................. 540
Cross Product ................................................................................................................ 540
Dot Product ................................................................................................................... 540
L2Norm ......................................................................................................................... 541
L1Norm ......................................................................................................................... 541
Max Norm ...................................................................................................................... 541
Examples ......................................................................................................................................... 541
Identity Matrix .............................................................................................................. 541
xlii
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