A First Course in Applied Mathematics

INDEX

C¹ norm, 365

LU factorization, 132

and permutations, 139

existence and uniqueness, 136

N-median problem, 405

QR factorization, 142, 153

and least squares, 224

and linear systems, 154

Householder, 153

thin, 144

uniqueness, 147

SV D compression, 267

A-invariant, 166

AC coefficients, 262, 264

Adjacency matrix, 86

Adjoint of a matrix, 3

Aggregated matrix, 112, 129

Aggregation/disaggregation exact, 113

Aggregation/dissagregation approximate, 115

Algebraic multiplicity, 54

American cutaneous leishmaniasis, 410

Approximate aggregation matrix, 114

Approximate eigenvector, 75

Asymptotically stable equilibrium, 328

Backward substitution, 133

Banach space, 356

Baseline JPEG, 257

Basis, 27

canonical, 27, 28

orthonormal, 175

Beats, 295

Bernstein polynomials, 29, 59

Best teacher, 197

Bezier curve, 61, 76

composite, 66

midpoint property, 64

Bezier spline, 66

Bifurcaion

saddle-node, 430

Bifurcation, 365, 379

cusp, 393

fold, 369, 380

heteroclinic, 394

homoclinic, 393

Hopf, 372, 380, 384, 430

period doubling, 363, 392

pitchfork, 370

saddle-node, 369, 392, 426

saddle-node of periodic orbits, 393

singularity, 373

transcritical, 367, 384, 425, 430

Bifurcation diagram, 367, 380

Bit size, 263

Block diagonalization, 180

Block Schur factorization, 170, 175, 359

Block triangular matrix, 10, 167, 169

eigenvalues of, 51

Boundedness of solutions, 376

Canonical basis, 27, 28

Cauchy sequence, 281

Cauchy-Schwarz inequality, 69

Center, 329, 332, 335

Center subspace, 338

Chaos, 360

Characteristic equation, ...