?

Set of real numbers

Real n-dimensional space

x

Column vector or element of

x ^T

Transpose of the vector x

A ^T

Transpose of a matrix A

det (A)

Determinant of the matrix A

M _ij

Minor of a matrix

A ^?1

Inverse matrix of the matrix A

[ A b]

Augmented matrix

I _n

n n identity matrix

?(A)

Spectral radius of a matrix A

K(A)

The condition number of a matrix A

?

For all

An arbitrary norm

₁

The l ₁ norm of vector or matrix

₂

the l ₂ norm of vector or matrix

_?

The l _? norm of vector or matrix

?

Forward difference operator

?

Backward difference operator

?

Central difference operator

J (x)

Jacobian matrix

f[.]

Divided difference of the function f

The kth binomial coefficient of order n

C[a, b]

Set of all functions continuous on [a, b]

C ⁿ [a, b]

Set of all functions having n continuous derivatives on [a, b]

O(.)

Order of convergence

?

Approximately equal to

?

Small positive number

IVP

Initial-value problem

BVP

Boundary-value problem

( ?, X)

Eigenpair for n n matrix A