`mat2vec_E`

Transforms the event function for a matrix-valued IVP into the event function for its corresponding vector-valued IVP.

Syntax
Description
Input/Output Parameters
See also

Syntax

Ev = mat2vec_E(Em,p)

Description

Ev = mat2vec_E(Em,p) transforms the event function $E(t,\mathbf{M})$ (where $E:\mathrm{R}\times\mathrm{R}^{p\times r}\to\mathrm{B}$ ) for a matrix-valued IVP into the event function $E(t,\mathbf{y})$ (where $E:\mathrm{R}\times\mathrm{R}^{pr}\to\mathrm{B}$ ) for its corresponding vector-valued IVP.

Input/Output Parameters

Variable Symbol Description Format

Input Em $E_{m}(t,\mathbf{M})$ event function for matrix-valued IVP ( $E_{m}:\mathbb{R}\times\mathbb{R}^{p\times r}\rightarrow\mathbb{B}$ )
- inputs to Em are the current time (t, 1×1 double) and the current state matrix (M, p×r double)
- output of Em is the evaluation of the event function (E, 1×1 logical) at the current time/state 1×1
function_handle

p $p$ number of rows of state matrix 1×1
double

Output Ev $E_{v}(t,\mathbf{y})$ event function for corresponding vector-valued IVP ( $E_{v}:\mathbb{R}\times\mathbb{R}^{pr}\rightarrow\mathbb{B}$ )
- inputs to Ev are the current time (t, 1×1 double) and the current state vector (y, pr×1 double)
- output of Ev is the evaluation of the event function (E, 1×1 logical) at the current time/state 1×1
function_handle

	Variable	Symbol	Description	Format
Input	`Em`	$E_{m}(t,\mathbf{M})$	event function for matrix-valued IVP ( $E_{m}:\mathbb{R}\times\mathbb{R}^{p\times r}\rightarrow\mathbb{B}$ ) - inputs to `Em` are the current time (`t`, 1×1 double) and the current state matrix (`M`, p×r double) - output of `Em` is the evaluation of the event function (`E`, 1×1 logical) at the current time/state	1×1 function_handle
Input	`p`	$p$	number of rows of state matrix	1×1 double
Output	`Ev`	$E_{v}(t,\mathbf{y})$	event function for corresponding vector-valued IVP ( $E_{v}:\mathbb{R}\times\mathbb{R}^{pr}\rightarrow\mathbb{B}$ ) - inputs to `Ev` are the current time (`t`, 1×1 double) and the current state vector (`y`, pr×1 double) - output of `Ev` is the evaluation of the event function (`E`, 1×1 logical) at the current time/state	1×1 function_handle

mat2vec_E

Contents

Syntax

Description

Input/Output Parameters

See also

`mat2vec_E`