Vector Norms

[size=150][color=#134f5c][b][u]L1 norm [/u][/b][br]It is defined as the sum of magnitudes of each component[br] a = ( a[sub]1[/sub] , a[sub]2[/sub] , a[sub]3[/sub] ) [br][br]L1 norm of vector a = |a[sub]1[/sub]| + |a[sub]2[/sub]| + |a[sub]3[/sub]|[br][br][b][u]L2 norm [/u][/b][br]It is defined as the square root of sum of squares of each component [br]L2 norm of vector a = √( a[sub]1[/sub][sup]2[/sup] + a[sub]2[/sub][sup]2[/sup] + a[sub]3[/sub][sup]2[/sup] )[br][/color][/size]

Information: Vector Norms