MuPAD
Chapter 9
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Section 9.1
Square_free_factor, Figure 9.1
page 356
(Square_free_factor.txt,
requires the procedures
Quotient, Figure 4.1
page 116
Polynomial_gcd, Figure 4.3
page 130, requires additional procedures (see file))
Section 9.2
Kronecker, Kronecker_factors, Figures 9.2 and 9.3
pages 364-365
(Kronecker.txt,
requires the procedures
Find_integer_factors (Exercise 3, page 369),
Find_x_u_values (Exercise 4, page 369),
Find_S_sets (Exercise 5, page 369),
Lagrange_polynomial.txt (Exercise 6, page 369),
Polynomial_division, Figure 4.1
page 116)
Section 9.3
Berlekamp_factor, Figure 9.4
page 384
(Berlekamp_factor.txt,
requires the procedures
R_matrix (Exercise 5, page 399),
Auxiliary_basis, Figure 9.5
pages 393-394, requires additional procedures (see below),
Find_factors, Figure 9.7
page 396, requires additional procedures (see below))
Auxiliary_basis, Figures 9.5 and 9.6,
pages 393-394,
(Auxiliary_basis.txt,
requires the procedures
Multiplicative_inverse_p (Exercise 11, page 60))
Find_factors, Figure 9.7
page 396
(Find_factors.txt,
requires the procedures
Poly_div_p (Exercise 9, page 125),
Poly_gcd_p (Exercise 4, page 142))
Section 9.4
Irreducible_factor, Figure 9.8
page 423
(Irreducible_factor.txt,
requires the procedures
Find_prime (Exercise 13, page 428),
MuPAD's ithprime operator
(ithprime.mnb, see Exercise 13, page 428)
Berlekamp_factor, Figure 9.4
page 384, requires additional procedures (see above),
Find_k (Exercise 17, page 429),
Hensel_lift, Figure 9.9
page 424, requires additional procedures (see below),
Tnn (Exercise 2(a), page 427)
Ts (Exercise 2(b), page 427)
Polynomial_Content (Exercise 7(a), page 260))
Hensel_lift, Figure 9.9
page 424
(Hensel_lift.txt,
requires the procedures
Construct
(see page 9),
True_factors, Figure 9.10
page 426, requires additional procedures (see below),
Gen_ext_sigma_p, Gen_ext_R_p (Exercise 11, page 427),
Ts (Exercise 2(b), page 427)
True_factors, Figure 9.10
page 426
(True_factors.txt,
requires the procedures
Construct
(see page 9),
Clean_up (Exercise 14, page 428),
Comb (Exercise 15, page 428),
Polynomial_division, Figure 4.1
page 116)
Ts (Exercise 2(b), page 427)