Non-collinear magnetism in bcc and fee Fe, fee Co, and fee Ni is explored b
y using the spin-polarized tight-binding recursion method. Magnetic ground
states are reproduced correctly: fee Fe is antiferromagnetic while the othe
rs (bcc Fe, fee Co, and fee Ni) are ferromagnetic. In bcc Fe, the spiral-sp
in state is shown to be more stable than the canted-spin state. In fee Fe,
the spiral-spin state is very close in energy to the antiferromagnetic stat
e so as to be stable for large wave-vector q(theta). We find that the finit
e-temperature magnetism of bcc Fe, which can be described by the local-mome
nt picture, is different from those of fee Fe, Co, and Ni.