Ohm’s law, 20

Operation count

• evaluation of determinant, 98–99, 101

• forward and back substitution, 418

• Gaussian elimination, 415

• QR factorization, 445, 448

Ordered basis, 152

Origin shifts, 459

Orthogonal complement, 224

Orthogonal matrices, 257–259

• definition, 257

• elementary, 440

• Givens reflection, 445, 447

• Householder transformation, 440–445

• permutation matrices, 258

• plane rotation, 445, 447

• properties of, 258

Orthogonal polynomials, 281–288

• Chebyshev polynomials, 285

• definition, 282

• Hermite, 285

• Jacobi polynomials, 285

• Laguerre polynomials, 285

• Legendre polynomials, 284

• recursion relation, 283

• roots of, 287

Orthogonal set(s), 253

Orthogonal subspaces, 223

Orthogonality

• in n-space, 214

• in an inner product space, 246

• in ${ℝ}^2$ or ${ℝ}^3$, 210

Orthonormal basis, 255

Orthonormal set(s), 253–271

Outer product, 79

Outer product expansion, 79

• from singular value decomposition, 361, 363

Overdetermined, 15