Page 217 - Matrices theory and applications

Index
200
domain
Euclidean, 99
Householder
matrix, 171
principal ideal, 97
method, 175
eigenbasis, 28
theorem, 67
eigenspace, 28
ideal, 97
eigenvalue, 24
principal, 97
multiplicity Hessenberg, 169
algebraic, 25 inequality
geometric, 25 Cauchy–Schwarz, 63
semi-simple, 27 H¨older, 62
simple, 25 Minkowski, 61
eigenvector, 24 integral domain, 15
elementary divisor, 109 invariant factor, 102
equivalent inverse
matrices, 8 generalized, 145
norms, 63 left, 145
exponential, 116 right, 145
extremal point, 79 irreducibility, 30
extreme point, 88
Jacobi
form identity, 134
Hermitian, 41 method, 151, 181
sesquilinear, 41 Jordan
Frobenius block, 110
norm, 182 decomposition, 111
Gauss kernel, 7
method, 149
p
Gauss–Seidel L (Ω), 68
method, 152
gcd, 98 matrices
Gershgorin commuting, 6
disk, 71, 78 conjugate, 9
domain, 71 equivalent, 8
Greville product of, 6
algorithm, 148 similar, 9
group matrix
linear, 20 Householder, 171
modular, 56 Jordan, 110
orthochronous Lorentz, 127 Pascal’s, 130
orthogonal, 20, 120 adjoint, 17
special, 20 alternate, 11
special linear, 20 companion, 37, 106
special orthogonal, 123 cyclic, 85
symmetric, 15 diagonal, 5
symplectic, 120 block-, 10
topological, 135 diagonalizable, 28
unitary, 120 elementary, 100