Herm spline.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:37:29Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:49:28Z

Rename Arguments section heading to Parameters

Kuprov: Normalise sequential blank lines

2026-04-25T11:26:38Z

Normalise sequential blank lines

Kuprov: Restore pre-bulk-edit wiki content

2026-04-05T14:48:56Z

Restore pre-bulk-edit wiki content

Kuprov: Sync syntax/arguments/outputs with current Spinach source

2026-04-05T14:05:46Z

Sync syntax/arguments/outputs with current Spinach source

Kuprov: Created page with "{{DISPLAYTITLE:herm_spline.m}} NOTOC Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges. ==Syntax== y=herm_spline(f0,df0,f1,df..."

2021-06-28T14:16:30Z

Created page with "{{DISPLAYTITLE:herm_spline.m}} __NOTOC__ Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges. ==Syntax== y=herm_spline(f0,df0,f1,df..."

New page

{{DISPLAYTITLE:herm_spline.m}} __NOTOC__
Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges.

==Syntax==

y=herm_spline(f0,df0,f1,df1,x)

==Arguments==

f0 - function value(s) at the left edge, a real
scalar or array

df0 - function derivative(s) at the left edge,
a real scalar or array

f1 - function value(s) at the right edge, a real
scalar or array

df1 - function derivative(s) at the right edge,
a real scalar or array

x - query point(s) inside [0,1] interval,
a real scalar or array

==Outputs==

y - the value of the spline(s) at the query point(s)

==Notes==
Function values and derivatives can be scalars (in which case the same spline is evaluated at all query points) or arrays of the same size as x, in which case multiple splines are evaluated at their corresponding query points.

==See also==
[[Kernel_utilities#Numerical_infrastructure|Numerical infrastructure]]

''Version 2.6, authors: [[Ilya Kuprov]]''

@@ Line 31: / Line 31: @@
 ==See also==
-[[Kernel_utilities#Numerical_infrastructure|Numerical infrastructure]]
+[[acomm.m]], [[arnoldi.m]], [[atranspose.m]], [[aux_mat.m]], [[binpack.m]], [[cheap_norm.m]], [[cheb_coeff.m]], [[clean_up.m]], [[dirdiff.m]], [[eigenfields.m]], [[expdrop.m]], [[expmint.m]], [[expmint2.m]], [[fftdiff.m]], [[fourdif.m]], [[fourlap.m]], [[frob_chop.m]], [[gaussfun.m]], [[hdot.m]], [[jacobianest.m]], [[keep_rank.m]], [[krondelta.m]], [[kronm_new.m]], [[logfactorial.m]], [[lorentzcon.m]], [[lorentzfun.m]], [[md5_hash.m]], [[mprealloc.m]], [[remncomm.m]], [[remtrace.m]], [[rspert.m]], [[rspt_eig.m]], [[snormpdf.m]], [[svd_shrink.m]], [[tikhoind.m]], [[tikhonov.m]], [[trapdiff.m]], [[unit_oper.m]], [[unit_state.m]], [[vvpert.m]], [[Kernel_utilities]]
 ''Version 2.6, authors: [[Ilya Kuprov]]''

@@ Line 6: / Line 6: @@
       y=herm_spline(f0,df0,f1,df1,x)
-==Arguments==
+==Parameters==
      f0  - function value(s) at the left edge, a real

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:herm_spline.m}} __NOTOC__
 Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges.
 ==Syntax==
-y=herm_spline(f0,df0,f1,df1,x)
+     y=herm_spline(f0,df0,f1,df1,x)
 ==Arguments==
-f0  - function value(s) at the left edge, a real
+    f0  - function value(s) at the left edge, a real
            scalar or array
-−
      df0 - function derivative(s) at the left edge,
            a real scalar or array
-−
      f1  - function value(s) at the right edge, a real
            scalar or array
-−
      df1 - function derivative(s) at the right edge,
            a real scalar or array
-−
      x   - query point(s) inside [0,1] interval,
            a real scalar or array
 ==Outputs==
-y   - the value of the spline(s) at the query point(s)
+    y   - the value of the spline(s) at the query point(s)
 ==Notes==
 Function values and derivatives can be scalars (in which case the same spline is evaluated at all query points) or arrays of the same size as x, in which case multiple splines are evaluated at their corresponding query points.
 ==See also==
 [[Kernel_utilities#Numerical_infrastructure|Numerical infrastructure]]
 ''Version 2.6, authors: [[Ilya Kuprov]]''